%                                                         
% CCA Bibliography on                                     
% Constructivity, Computability and Complexity in Analysis
%                                                         
% http://cca-net.de                                       
%                                                         
% (c) 2000-2009 Vasco Brattka                                           
%                                                         

@Article{AAFHS99,
  author = {Aps{\={\i}}tis, Kalvis and Arikawa, Setsuo and Freivalds,
  R{\=u}si{\c{n}}{\v{s}} and Hirowatari, Eiju and Smith, Carl H.},
  title = {On the inductive inference of recursive real-valued functions},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {219},
  pages = {3--17}
}

@Article{ABH08,
  author = {Archibald, Margaret and Brattka, Vasco and Heuberger, Clemens},
  title = {Randomness with respect to the Signed-Digit Representation},
  journal = {Fundamenta Informaticae},
  year = {2008},
  volume = {83},
  number = {1--2},
  pages = {1--19}
}

@InProceedings{ADM08,
  author = {Andreev, Valentin V. and Daniel, Dale and McNicholl, Timothy H.},
  title = {Technical Report: Computation on the Extended Complex Plane and
  Conformal Mapping of Multiply-connected Domains},
  booktitle = {{CCA} 2008, Fifth International Conference on Computability and
  Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  pages = {127--139},
  publisher = {Elsevier},
  note = {CCA 2008, Fifth International Conference, Hagen, Germany, August
  21--24, 2008}
}

@InProceedings{AI05,
  author = {Akama, Yohji and Iizuka, Shinji},
  title = {Real number representations of graph-directed {IFS} attractors},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
  Klaus},
  year = {2005},
  month = {July},
  series = {Informatik Berichte},
  volume = {326},
  pages = {3--24},
  publisher = {FernUniversit\"at in Hagen},
  note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan,
  August 25--29, 2005}
}

@Article{AS06,
  author = {Avigad, Jeremy and Simic, Ksenija},
  title = {Fundamental notions of analysis in subsystems of second-order
  arithmetic},
  journal = {Annals of Pure and Applied Logic},
  year = {2006},
  volume = {139},
  pages = {138--184}
}

@Article{AWZ00,
  author = {Ambos-Spies, Klaus and Weihrauch, Klaus and Zheng, Xizhong},
  title = {Weakly Computable Real Numbers},
  journal = {Journal of Complexity},
  year = {2000},
  volume = {16},
  number = {4},
  pages = {676--690}
}

@Article{Abe68,
  author = {Aberth, Oliver},
  title = {Analysis in the Computable Number Field},
  journal = {Journal of the Association for Computing Machinery},
  year = {1968},
  volume = {15},
  pages = {275--299}
}

@Article{Abe69,
  author = {Aberth, Oliver},
  title = {A Chain of Inclusion Relations in Computable Analysis},
  journal = {Proceedings of the American Mathematical Society},
  year = {1969},
  volume = {22},
  pages = {539--548}
}

@InProceedings{Abe70,
  author = {Aberth, Oliver},
  title = {Computable analysis and differential equations},
  booktitle = {Intuitionism and Proof Theory},
  editor = {Kino, A. and Myhill, J. and Vesley, R.E.},
  year = {1970},
  series = {Studies in Logic and the Foundations of Mathematics},
  pages = {47--52},
  publisher = {North-Holland},
  address = {Amsterdam},
  note = {Proc. of the Summer Conf. at Buffalo N.Y. 1968}
}

@Article{Abe71,
  author = {Aberth, Oliver},
  title = {The failure in computable analysis of a classical existence theorem
  for differential equations},
  journal = {Proceedings of the American Mathematical Society},
  year = {1971},
  volume = {30},
  pages = {151--156}
}

@Book{Abe80,
  author = {Aberth, Oliver},
  title = {Computable Analysis},
  year = {1980},
  publisher = {McGraw-Hill},
  address = {New York}
}

@Article{Aka04,
  author = {Akama, Yohji},
  title = {Limiting partial combinatory algebras},
  journal = {Theoretical Computer Science},
  year = {2004},
  volume = {311},
  pages = {199--220}
}

@TechReport{Amb98,
  author = {Ambos-Spies, Klaus},
  title = {A Note on Recursively Approximable Real Numbers},
  year = {1998},
  number = {38},
  type = {Forschungsbericht Mathematische Logik},
  institution = {Universit\"at Heidelberg},
  address = {Heidelberg}
}

@InProceedings{Avi05,
  author = {Avigad, Jeremy},
  title = {Weak theories of nonstandard arithmetic and analysis},
  booktitle = {Reverse Mathematics 2001},
  editor = {Simpson, Stephen},
  year = {2005},
  series = {Lecture Notes in Logic},
  pages = {19--46},
  publisher = {Association for Symbolic Logic},
  address = {La Jolla}
}

@Article{BA99,
  author = {Bedregal, Benjam{\'{\i}}n Ren{\'{e}} Callejas and Aci{\'{o}}ly,
  Benedito Melo},
  title = {Effectively Given Continuous Domains: A Computable Interval
  Analysis},
  journal = {Electronic Journal on Mathematics of Computation},
  year = {1999},
  volume = {0}
}

@Article{BB06,
  author = {Berger, Josef and Bridges, Douglas S.},
  title = {A bizarre property equivalent to the {$\Pi^0_1$}--fan theorem},
  journal = {Logic Journal of the IGPL},
  year = {2006},
  volume = {14},
  pages = {867--871}
}

@Article{BB07,
  author = {Berger, Josef and Bridges, Douglas S.},
  title = {A fan-theoretic equivalent of the antithesis of {S}pecker's
  theorem},
  journal = {Indag. Math. N.S.},
  year = {2007},
  volume = {18},
  number = {2},
  pages = {195--202}
}

@InProceedings{BB08,
  author = {Baroni, M. A. and Bridges, D. S.},
  title = {Continuity Properties of Preference Relations},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {19--25},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@Article{BB08a,
  author = {Berger, Josef and Bridges, Douglas},
  title = {The anti-{S}pecker property, a {H}eine–{B}orel property},
  journal = {Archive for Mathematical Logic},
  year = {2008},
  volume = {46},
  number = {7--8},
  pages = {583–-592}
}

@Article{BB08b,
  author = {Baroni, Marian A. and Bridges, Douglas S.},
  title = {Continuity properties of preference relations},
  journal = {Mathematical Logic Quarterly},
  year = {2008},
  volume = {54},
  number = {5},
  pages = {454--459}
}

@Book{BB85,
  author = {Bishop, Errett and Bridges, Douglas S.},
  title = {Constructive Analysis},
  year = {1985},
  series = {Grundlehren der Mathematischen Wissenschaften},
  volume = {279},
  publisher = {Springer},
  address = {Berlin}
}

@Article{BBCRW08,
  author = {Barmpalias, George and Brodhead, Paul and Cenzer, Douglas and
  Remmel, Jeffrey B. and Weber, Rebecca},
  title = {Algorithmic randomness of continuous functions},
  journal = {Archive for Mathematical Logic},
  year = {2008},
  volume = {46},
  number = {7--8},
  pages = {533–-546}
}

@Article{BBGMV04,
  author = {Benci, V. and Bonanno, C. and Galatolo, S. and Menconi, G. and
  Virgilio, M.},
  title = {Dynamical systems and computable information},
  journal = {Discrete and Continuous Dynamical Systems B},
  year = {2004},
  volume = {4},
  number = {4},
  pages = {935--960}
}

@Proceedings{BBH01,
  title = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 17-19,
  2000. Selected Papers}
}

@Article{BBS04,
  author = {Bauer, Andrej and Birkedal, Lars and Scott, Dana S.},
  title = {Equilogical spaces},
  journal = {Theoretical Computer Science},
  year = {2004},
  volume = {315},
  pages = {35--59}
}

@Article{BBS06,
  author = {Berger, Josef and Bridges, Douglas S. and Schuster, Peter},
  title = {The fan theorem and unique existence of maxima},
  journal = {The Journal of Symbolic Logic},
  year = {2006},
  volume = {71},
  number = {2},
  pages = {713--720}
}

@Article{BBY06,
  author = {Binder, I. and Braverman, Mark and Yampolsky, M.},
  title = {On computational complexity of {S}iegel {J}ulia sets},
  journal = {Comm. Math. Phys.},
  year = {2006},
  volume = {264},
  number = {2},
  pages = {317--334}
}

@Article{BC06,
  author = {Braverman, Mark and Cook, Stephen},
  title = {Computing over the Reals: Foundations for Scientific Computing},
  journal = {Notices of the AMS},
  year = {2006},
  volume = {53},
  number = {3},
  pages = {318--329}
}

@Article{BC08,
  author = {Brodhead, Paul and Cenzer, Douglas},
  title = {Effectively closed sets and enumerations},
  journal = {Archive for Mathematical Logic},
  year = {2008},
  volume = {46},
  number = {7--8},
  pages = {565–-582}
}

@Book{BC72,
  author = {Bishop, E. and Cheng, H.},
  title = {Constructive {M}easure {T}heory},
  year = {1972},
  publisher = {American Mathematical Society},
  address = {Providence}
}

@InProceedings{BC90,
  author = {Boehm, Hans and Cartwright, Robert},
  title = {Exact real arithmetic, formulating real numbers as functions},
  booktitle = {Research topics in functional programming},
  editor = {Turner, D.},
  year = {1990},
  pages = {43--64},
  publisher = {Addison-Wesley}
}

@InProceedings{BCD06,
  author = {Brodhead, Paul and Cenzer, Douglas and Dashti, Seyyed},
  title = {Random Closed Sets},
  booktitle = {Logical Approaches to Computational Barriers},
  editor = {Beckmann, A. and Berger, U. and L{\"o}we, B. and Tucker, J.V.},
  year = {2006},
  series = {Lecture Notes in Computer Science},
  volume = {3988},
  pages = {55--64},
  publisher = {Springer},
  address = {Berlin},
  note = {Second Conference on Computability in Europe, CiE 2006, Swansea, UK,
  June 30-July 5, 2006}
}

@Article{BCGH07,
  author = {Bournez, Olivier and Campagnolo, Manuel L. and Gra{\c{c}}a, Daniel
  and S. Hainry, Emmanuel},
  title = {Polynomial differential equations compute all real computable
  functions on computable compact intervals},
  journal = {Journal of Complexity},
  year = {2007},
  volume = {23},
  number = {3},
  pages = {317--335}
}

@InProceedings{BCJMR81,
  author = {Bridges, Douglas and Calder, Allan and Julian, William and Mines,
  Ray and Richman, Fred},
  title = {Locating metric complements in {R}$^n$},
  booktitle = {Constructive Mathematics},
  editor = {Richman, F.},
  year = {1981},
  series = {Lecture Notes in Mathematics},
  volume = {873},
  pages = {241--249},
  note = {Proc. New Mexico State Univ. Conf., Aug. 11--15, 1980, Las Cruces,
  NM}
}

@Article{BCJMR81a,
  author = {Bridges, Douglas and Calder, Allan and Julian, William and Mines,
  Ray and Richman, Fred},
  title = {Bounded linear mappings of finite rank},
  journal = {Journal of Functional Analysis},
  year = {1981},
  volume = {43},
  number = {2},
  pages = {143--148}
}

@Article{BCJMR82,
  author = {Bridges, Douglas and Calder, Allan and Julian, William and Mines,
  Ray and Richman, Fred},
  title = {Picard's theorem},
  journal = {Trans. Amer. Math. Soc.},
  year = {1982},
  volume = {269},
  number = {2},
  pages = {513--520}
}

@Article{BCPS99,
  author = {Bridges, D. and Calude, C. and Pavlov, B. and
  {\c{S}}tef{\u{a}}nescu, D.},
  title = {The constructive implicit function theorem and applications in
  mechanics},
  journal = {Chaos, Solitons and Fractals},
  year = {1999},
  volume = {10},
  number = {6},
  pages = {927--934}
}

@InProceedings{BCR07,
  author = {Brodhead, Paul and Cenzer, Douglas and Remmel, Jeffrey B.},
  title = {Random Continuous Functions},
  booktitle = {Proceedings of the Third International Conference on
  Computability and Complexity in Analysis},
  editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
  Klaus},
  year = {2007},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {167},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2006, Gainesville, Florida, USA, November 1--5, 2006}
}

@InProceedings{BCRW07,
  author = {Barmpalias, George and Cenzer, Douglas and Remmel, Jeffrey B. and
  Weber, Rebecca},
  title = {K-Trivial Closed Sets and Continuous Functions},
  booktitle = {Computation and Logic in the Real World},
  editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
  year = {2007},
  series = {Lecture Notes in Computer Science},
  volume = {4497},
  pages = {135--145},
  publisher = {Springer},
  address = {Berlin},
  note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy,
  June 18-23, 2007}
}

@Article{BCRW09,
  author = {Barmpalias, George and Cenzer, Douglas and Remmel, Jeffrey B. and
  Weber, Rebecca},
  title = {K-Triviality of Closed Sets and Continuous Functions},
  journal = {Journal of Logic and Computation},
  year = {2009},
  volume = {19},
  number = {1},
  pages = {3--16}
}

@Article{BD00,
  author = {Bridges, Douglas and Dediu, Lumini{\c{t}}a},
  title = {The weak-operator sequential continuity of left multiplication},
  journal = {Indagationes Mathematicae},
  year = {2000},
  volume = {11},
  number = {1},
  pages = {39--42}
}

@Article{BD05,
  author = {Brattka, Vasco and Dillhage, Ruth},
  title = {Computability of the Spectrum of Self-Adjoint Operators},
  journal = {Journal of Universal Computer Science},
  year = {2005},
  volume = {11},
  number = {12},
  pages = {1884--1900}
}

@Article{BD06a,
  author = {Bridges, Douglas and Diener, Hannes},
  title = {A constructive treatment of {U}rysohn's {L}emma in an apartness
  space},
  journal = {Mathematical Logic Quarterly},
  year = {2006},
  volume = {52},
  number = {5},
  pages = {464--469}
}

@InProceedings{BD07,
  author = {Brattka, Vasco and Dillhage, Ruth},
  title = {On Computable Compact Operators on {B}anach Spaces},
  booktitle = {Proceedings of the Third International Conference on
  Computability and Complexity in Analysis},
  editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
  Klaus},
  year = {2007},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {167},
  pages = {365--386},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2006, Gainesville, Florida, USA, November 1--5, 2006}
}

@Article{BD07a,
  author = {Brattka, Vasco and Dillhage, Ruth},
  title = {On Computable Compact Operators on Computable {B}anach Spaces with
  Bases},
  journal = {Mathematical Logic Quarterly},
  year = {2007},
  volume = {53},
  number = {4--5},
  pages = {345--364}
}

@Article{BD91,
  author = {Bridges, Douglas and Demuth, Osvald},
  title = {On the {L}ebesgue measurability of continuous functions in
  constructive analysis},
  journal = {BAMS},
  year = {1991},
  volume = {24},
  number = {2},
  pages = {259--276}
}

@Article{BD97,
  author = {Bridges, Douglas and Dediu, Lumini{\c{t}}a},
  title = {Paradise lost, or paradise regained?},
  journal = {Bulletin of the European Association for Theoretical Computer
  Science},
  year = {1997},
  volume = {63},
  pages = {141--155}
}

@Article{BD98,
  author = {Bridges, D. S. and Dudley Ward, N. F.},
  title = {Constructing ultraweakly continuous functionals on ${B}({H})$},
  journal = {Proceedings of the American Mathematical Society},
  year = {1998},
  volume = {126},
  number = {11},
  pages = {3347--3353}
}

@Article{BD99,
  author = {Bridges, Douglas and Dediu, Lumini{\c{t}}a},
  title = {Weak continuity properties in constructive analysis},
  journal = {Logic Journal of the IGPL. Interest Group in Pure and Applied
  Logics},
  year = {1999},
  volume = {7},
  number = {3},
  pages = {277--281}
}

@Article{BD99a,
  author = {Bridges, Douglas and Dediu, Lumini{\c{t}}a},
  title = {Weak-operator continuity and the existence of adjoints},
  journal = {Mathematical Logic Quarterly},
  year = {1999},
  volume = {45},
  number = {2},
  pages = {203--206}
}

@Proceedings{BDGK08,
  title = {Proceedings of the Fifth International Conference on Computability
  and Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2008, Hagen, Germany, August 21-24, 2008}
}

@Article{BDI03,
  author = {Bridges, Douglas and van Dalen, Dirk and Ishihara, Hajime},
  title = {Ishihara's proof technique in constructive analysis},
  journal = {Indagationes Mathematicae},
  year = {2003},
  volume = {14},
  number = {2},
  pages = {163--168}
}

@InProceedings{BES02,
  author = {Bauer, Andrej and Escard{\'{o}}, Mart{\'{\i}}n H{\"{o}}tzel and
  Simpson, Alex},
  title = {Comparing Functional Paradigms for Exact Real-Number Computation},
  booktitle = {Automata, Languages and Programming},
  editor = {Widmayer, Peter and Triguero, Francisco and Morales, Rafael and
  Hennessy, Matthew and Eidenbenz, Stephan and Conejo, Ricardo},
  year = {2002},
  series = {Lecture Notes in Computer Science},
  volume = {2380},
  pages = {488--500},
  publisher = {Springer},
  address = {Berlin},
  note = {29th International Colloquium, ICALP, M{\'{a}}laga, Spain, July
  8--13, 2002}
}

@Article{BF02,
  author = {Becher, Ver{\'{o}}nica and Figueira, Santiago},
  title = {An example of a computable absolutely normal number},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {270},
  pages = {947--958}
}

@Proceedings{BFM07,
  title = {Real Numbers},
  editor = {Brattka, Vasco and Frougny, Christiane and M{\"u}ller, Norbert},
  year = {2007},
  series = {Theoretical Informatics and Applications},
  volume = {41},
  number = {1},
  publisher = {EDP Sciences},
  address = {Les Ulis},
  note = {Selected Papers of the 6th conference on Real Numbers and Computers,
  Dagstuhl, Germany, November 15-17, 2004}
}

@Article{BFP07,
  author = {Becher, Ver{\'{o}}nica and Figueira, Santiago and Picchi, Rafael},
  title = {{T}uring’s unpublished algorithm for normal numbers},
  journal = {Theoretical Computer Science},
  year = {2007},
  volume = {377},
  number = {1--3},
  pages = {126--138}
}

@Article{BG04,
  author = {Becher, Ver{\'{o}}nica and Grigorieff, Serge},
  title = {Recursion and topology on $2^{\leq\omega}$ for possibly infinite
  computations},
  journal = {Theoretical Computer Science},
  year = {2004},
  volume = {322},
  number = {1},
  pages = {85--136}
}

@InProceedings{BG07,
  author = {Brattka, Vasco and Gherardi, Guido},
  title = {Borel Complexity of Topological Operations on Computable Metric
  Spaces},
  booktitle = {Computation and Logic in the Real World},
  editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
  year = {2007},
  series = {Lecture Notes in Computer Science},
  volume = {4497},
  pages = {83--97},
  publisher = {Springer},
  address = {Berlin},
  note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy,
  June 18-23, 2007}
}

@Article{BG09,
  author = {Brattka, Vasco and Gherardi, Guido},
  title = {Borel Complexity of Topological Operations on Computable Metric
  Spaces},
  journal = {Journal of Logic and Computation},
  year = {2009},
  volume = {19},
  number = {1},
  pages = {45--76}
}

@Article{BGI04,
  author = {Bonanno, Claudio and Galatolo, Stefano and Isola, Stefano},
  title = {Recurrence and algorithmic information},
  journal = {Nonlinearity},
  year = {2004},
  volume = {17},
  number = {3},
  pages = {1057--1074}
}

@Article{BH00a,
  author = {Bridges, Douglas and Havea, Robin},
  title = {A constructive analysis of a proof that the numerical range is
  convex},
  journal = {London Math. Soc. Journal of Mathematics and Computation},
  year = {2000},
  volume = {3},
  pages = {191--206}
}

@Article{BH01,
  author = {Bridges, Douglas and Havea, Robin},
  title = {A constructive version of the spectral mapping theorem},
  journal = {Mathematical Logic Quarterly},
  year = {2001},
  volume = {47},
  number = {3},
  pages = {299--304}
}

@Article{BH02,
  author = {Brattka, Vasco and Hertling, Peter},
  title = {Topological properties of real number representations},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {284},
  number = {2},
  pages = {241--257}
}

@Article{BH05,
  author = {Bournez, Olivier and Hainry, Emmanuel},
  title = {Elementarily computable functions over the real numbers and
  $R$-sub-recursive functions},
  journal = {Theoretical Computer Science},
  year = {2005},
  volume = {348},
  pages = {130--147}
}

@Article{BH06,
  author = {Bournez, Olivier and Hainry, Emmanuel},
  title = {Recursive Analysis Characterized as a Class of Real Recursive
  Functions},
  journal = {Fundamenta Mathematicae},
  year = {2006},
  volume = {74},
  number = {4},
  pages = {409--433}
}

@Article{BH07,
  author = {Bridges, Douglas S. and Havea, Robin},
  title = {Powers of a {H}ermitian element},
  journal = {New Zealand J. Math.},
  year = {2007},
  volume = {36},
  pages = {1--10}
}

@TechReport{BH94,
  author = {Brattka, Vasco and Hertling, Peter},
  title = {Continuity and computability of relations},
  year = {1994},
  month = {September},
  number = {164},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen}
}

@Article{BH98,
  author = {Brattka, Vasco and Hertling, Peter},
  title = {Feasible real random access machines},
  journal = {Journal of Complexity},
  year = {1998},
  volume = {14},
  number = {4},
  pages = {490--526}
}

@Proceedings{BHKT06,
  title = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Hertling, Peter and Ko, Ker-I and Tsuiki,
  Hideki},
  year = {2006},
  series = {Journal of Complexity},
  volume = {522},
  number = {6},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {Selected Papers of the International Conference CCA 2005, held in
  Kyoto, Japan, August 25--29, 2005}
}

@Proceedings{BHKZ04,
  title = {Special Issue Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Hertling, Peter and Ko, Ker-I and Zhong, Ning},
  year = {2004},
  series = {Mathematical Logic Quarterly},
  volume = {50},
  number = {4,5},
  publisher = {Wiley-VCH},
  address = {Weinheim},
  note = {Selected Papers of the International Conference CCA 2003, held in
  Cincinnati, Ohio, August 28--30, 2003}
}

@Article{BHS06,
  author = {Bridges, Douglas and Havea, Robin and Schuster, Peter},
  title = {Ideals in constructive {B}anach algebra theory},
  journal = {Journal of Complexity},
  year = {2006},
  volume = {22},
  number = {6},
  pages = {729--737}
}

@Article{BHS06a,
  author = {Bridges, Douglas and Havea, Robin and Schuster, Peter},
  title = {Constructive {B}anach algebra theory and the {N}ullstellensatz},
  journal = {Publ. Math. Debrecen},
  year = {2006},
  volume = {69},
  number = {1,2},
  pages = {171--184}
}

@InCollection{BHW08,
  author = {Brattka, Vasco and Hertling, Peter and Weihrauch, Klaus},
  title = {A Tutorial on Computable Analysis},
  booktitle = {New Computational Paradigms: Changing Conceptions of What is
  Computable},
  editor = {Cooper, S. Barry and L\"owe, Benedikt and Sorbi, Andrea},
  year = {2008},
  pages = {425--491},
  publisher = {Springer},
  address = {New York}
}

@Proceedings{BHYZ02,
  title = {Selected Papers of the Dagstuhl Seminar on Computability and
  Complexity in Analysis 2001},
  editor = {Brattka, Vasco and Hertling, Peter and Yasugi, Mariko and Zhong,
  Ning},
  year = {2002},
  series = {Mathematical Logic Quarterly},
  volume = {48 (Suppl. 1)},
  publisher = {Wiley-VCH},
  address = {Weinheim}
}

@Article{BI01,
  author = {Bridges, Douglas and Ishihara, Hajime},
  title = {Constructive closed range and open mapping theorems},
  journal = {Indagationes Mathematicae},
  year = {2001},
  volume = {11},
  number = {4},
  pages = {509--516}
}

@InProceedings{BI01a,
  author = {Bridges, Douglas and Ishihara, Hajime},
  title = {Constructive unbounded operators},
  booktitle = {Reuniting the antipodes---constructive and nonstandard views of
  the continuum (Venice, 1999)},
  editor = {Schuster, Peter and Berger, Ulrich and Osswald, Horst},
  year = {2001},
  series = {Synthese Library},
  volume = {306},
  pages = {25--37},
  publisher = {Kluwer Acad. Publ.},
  address = {Dordrecht}
}

@Article{BI05,
  author = {Berger, Josef and Ishihara, Hajime},
  title = {Brouwer's fan theorem and unique existence in constructive
  analysis},
  journal = {Mathematical Logic Quarterly},
  year = {2005},
  volume = {51},
  number = {4},
  pages = {360--364}
}

@Article{BI90,
  author = {Bridges, Douglas and Ishihara, Hajime},
  title = {Linear mappings are fairly well-behaved},
  journal = {Archiv der Mathematik. Archives of Mathematics. Archives
  Math\'ematiques},
  year = {1990},
  volume = {54},
  number = {6},
  pages = {558--562}
}

@Article{BI92,
  author = {Bridges, Douglas and Ishihara, Hajime},
  title = {Locating the range of an operator on a {H}ilbert space},
  journal = {The Bulletin of the London Mathematical Society},
  year = {1992},
  volume = {24},
  number = {6},
  pages = {599--605}
}

@Article{BI94,
  author = {Bridges, Douglas S. and Ishihara, Hajime},
  title = {Complements of intersections in constructive mathematics},
  journal = {Mathematical Logic Quarterly},
  year = {1994},
  volume = {40},
  number = {1},
  pages = {35--43}
}

@Article{BI94a,
  author = {Bridges, Douglas and Ishihara, Hajime},
  title = {Absolute continuity and the uniqueness of the constructive
  functional calculus},
  journal = {Mathematical Logic Quarterly},
  year = {1994},
  volume = {40},
  number = {4},
  pages = {519--527}
}

@Article{BI94b,
  author = {Bridges, Douglas S. and Ishihara, Hajime},
  title = {Erratum: ``{C}omplements of intersections in constructive
  mathematics''},
  journal = {Mathematical Logic Quarterly},
  year = {1994},
  volume = {40},
  number = {4},
  pages = {570}
}

@Article{BI96,
  author = {Bridges, Douglas and Ishihara, Hajime},
  title = {Spectra of selfadjoint operators in constructive analysis},
  journal = {Indagationes Mathematicae},
  year = {1996},
  volume = {7},
  number = {1},
  pages = {11--35}
}

@Article{BI98,
  author = {Bridges, Douglas and Ishihara, Hajime},
  title = {A definite constructive open mapping theorem?},
  journal = {Mathematical Logic Quarterly},
  year = {1998},
  volume = {44},
  number = {4},
  pages = {545--552}
}

@Article{BIMRSV07,
  author = {Bridges, Douglas and Ishihara, Hajime and Mines, Ray and Richman,
  Fred and Schuster, Peter M. and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
  title = {Almost locatedness in uniform spaces},
  journal = {Czechoslovak Math. J.},
  year = {2007},
  volume = {57},
  number = {1},
  pages = {1--12}
}

@InProceedings{BIS02,
  author = {Bridges, Douglas and Ishihara, Hajime and Schuster, Peter},
  title = {Compactness and continuity, constructively revisited},
  booktitle = {Computer science logic},
  editor = {Bradfield, Julian},
  year = {2002},
  series = {Lecture Notes in Computer Science},
  volume = {2471},
  pages = {89--102},
  publisher = {Springer}
}

@Article{BIS03,
  author = {Bridges, Douglas and Ishihara, Hajime and Spitters, Bas},
  title = {Locating the range of an operator with an adjoint},
  journal = {Indagationes Mathematicae},
  year = {2003},
  volume = {13},
  number = {4},
  pages = {433--440}
}

@Article{BIS99,
  author = {Bridges, Douglas and Ishihara, Hajime and Schuster, Peter},
  title = {Sequential Compactness in Constructive Analysis},
  journal = {\"{O}sterr. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II.},
  year = {1999},
  volume = {208},
  pages = {159--163}
}

@Proceedings{BISZ08,
  title = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Ishihara, Hajime and Schr{\"o}der, Matthias and
  Zhong, Ning},
  year = {2008},
  series = {Journal of Universal Computer Science},
  volume = {14},
  number = {6},
  publisher = {Graz University of Technology},
  address = {Graz},
  note = {Selected Papers of the Fourth International Conference on
  Computability and Complexity in Analysis, June 16-18, 2007, Siena, Italy}
}

@Proceedings{BISZ08a,
  title = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Ishihara, Hajime and Schr{\"o}der, Matthias and
  Zhong, Ning},
  year = {2008},
  series = {Mathematical Logic Quarterly},
  volume = {54},
  number = {5},
  publisher = {Wiley-VCH},
  address = {Weinheim},
  note = {Selected Papers of the Fourth International Conference on
  Computability and Complexity in Analysis, June 16-18, 2007, Siena, Italy}
}

@Article{BIV04,
  author = {Bridges, Douglas and Ishihara, Hajime and V{\^{\i}}{\c{t}}{\u{a}},
  Lumini{\c{t}}a},
  title = {Computing infima on convex sets, with applications in {H}ilbert
  spaces},
  journal = {Proceedings of the American Mathematical Society},
  year = {2004},
  volume = {132},
  number = {9},
  pages = {2723--2732}
}

@Article{BIV06,
  author = {Bridges, Douglas and Ishihara, Hajime and V{\^{\i}}{\c{t}}{\u{a}},
  Lumini{\c{t}}a},
  title = {A new constructive version of {B}aire's Theorem},
  journal = {Hokkaido Math. Journal},
  year = {2006},
  volume = {35},
  number = {1},
  pages = {107--118}
}

@InProceedings{BJL01,
  author = {Breutzmann, Josef M. and Juedes, David W. and Lutz, Jack H.},
  title = {Baire Category and Nowhere Differentiability for Feasible Real
  Functions},
  booktitle = {Algorithms and Computation},
  editor = {Eades, Peter and Takaoka, Tadao},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2223},
  pages = {219--230},
  publisher = {Springer},
  address = {Berlin},
  note = {12th International Symposium, ISAAC 2001, Christchurch, New Zealand,
  December 19-21, 2001}
}

@Article{BJL04,
  author = {Breutzmann, Josef M. and Juedes, David W. and Lutz, Jack H.},
  title = {Baire category and nowhere differentiability for feasible real
  functions},
  journal = {Mathematical Logic Quarterly},
  year = {2004},
  volume = {50},
  number = {4,5},
  pages = {460--472}
}

@Article{BJM89,
  author = {Bridges, Douglas and Julian, William and Mines, Ray},
  title = {A constructive treatment of open and unopen mapping theorems},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1989},
  volume = {35},
  number = {1},
  pages = {29--43}
}

@Article{BJRM92,
  author = {Bridges, D.S. and Julian, W.H. and Richman, F. and Mines, R.},
  title = {Extensions and fixed points of contractive maps in {R}$^n$},
  journal = {J. Math. Anal. Appl.},
  year = {1992},
  volume = {165},
  pages = {438--456}
}

@InProceedings{BK08,
  author = {Bauer, Andrej and Kavkler, Iztok},
  title = {Implementing real numbers with {RZ}},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {365--384},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@InCollection{BK98,
  author = {Brattka, Vasco and Kalantari, Iraj},
  title = {A Bibliography of Recursive Analysis and Recursive Topology},
  booktitle = {Handbook of Recursive Mathematics},
  editor = {Ershov, Yu. L. and Goncharov, S.S. and Nerode, A. and Remmel,
  J.B.},
  year = {1998},
  series = {Studies in Logic and the Foundations of Mathematics},
  volume = {138},
  pages = {583--620},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {Volume 1, Recursive Model Theory}
}

@InProceedings{BL00,
  author = {Burrows, Ashley and Lester, David},
  title = {Exact Arithmetic and the {K}orteweg-de {V}ries Equation},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch,
  Klaus},
  year = {2000},
  month = {September},
  series = {Informatik Berichte},
  volume = {272},
  pages = {23--41},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA 2000 Workshop, Swansea, Wales, September 17--19, 2000}
}

@Article{BM00,
  author = {Bridges, Douglas and Mahalanobis, Ayan},
  title = {Sequential continuity of functions in constructive analysis},
  journal = {Mathematical Logic Quarterly},
  year = {2000},
  volume = {46},
  number = {1},
  pages = {139--143}
}

@Article{BM01,
  author = {Bridges, Douglas and Mahalanobis, Ayan},
  title = {Increasing, nondecreasing, and virtually continuous functions},
  journal = {Journal of Automata, Languages and Combinatorics},
  year = {2001},
  volume = {6},
  number = {2},
  pages = {139--143}
}

@Article{BM01a,
  author = {Bridges, Douglas and Mahalanobis, Ayan},
  title = {Bounded variation implies regulated: a constructive proof},
  journal = {The Journal of Symbolic Logic},
  year = {2001},
  volume = {66},
  number = {4},
  pages = {1695--1700}
}

@InProceedings{BM07,
  author = {Bienvenu, Laurent and Merkle, Wolfgang},
  title = {Effective randomness for computable probability measures},
  booktitle = {Proceedings of the Third International Conference on
  Computability and Complexity in Analysis},
  editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
  Klaus},
  year = {2007},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {167},
  pages = {117--130},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2006, Gainesville, Florida, USA, November 1--5, 2006}
}

@InProceedings{BM07a,
  author = {Barmpalias, George and Montalb{\'a}n, Antonio},
  title = {A cappable almost everywhere dominating computably enumerable
  degree},
  booktitle = {Proceedings of the Third International Conference on
  Computability and Complexity in Analysis},
  editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
  Klaus},
  year = {2007},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {167},
  pages = {17--31},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2006, Gainesville, Florida, USA, November 1--5, 2006}
}

@Article{BM37,
  author = {Banach, Stefan and Mazur, Stanis{\l}aw},
  title = {Sur les fonctions calculables},
  journal = {Ann. Soc. Pol. de Math.},
  year = {1937},
  volume = {16},
  pages = {223}
}

@Article{BM84,
  author = {Bridges, D.S. and Mines, R.},
  title = {What is constructive mathematics?},
  journal = {The Mathematical Intelligencer},
  year = {1984},
  volume = {6},
  number = {4},
  pages = {32--38}
}

@Article{BM98,
  author = {Bridges, Douglas and Mines, Ray},
  title = {Sequentially continuous linear mappings in constructive analysis},
  journal = {The Journal of Symbolic Logic},
  year = {1998},
  volume = {63},
  number = {2},
  pages = {579--583}
}

@Article{BMRS04,
  author = {Bridges, Douglas and Mines, Ray and Richman, Fred and Schuster,
  Peter},
  title = {The polydisk {N}ullstellensatz},
  journal = {Proceedings of the American Mathematical Society},
  year = {2004},
  volume = {132},
  number = {7},
  pages = {2133--2140}
}

@Article{BP03,
  author = {Brattka, Vasco and Presser, Gero},
  title = {Computability on subsets of metric spaces},
  journal = {Theoretical Computer Science},
  year = {2003},
  volume = {305},
  pages = {43--76}
}

@Article{BP03a,
  author = {Bridges, Douglas and Popa, Gabriela},
  title = {Exact, continuous boundary crossings out of convex sets in $R^N$},
  journal = {The Quarterly Journal of Mathematics},
  year = {2003},
  volume = {54},
  number = {4},
  pages = {391--398}
}

@Article{BR87,
  author = {Brady, S.S. and Remmel, J.B.},
  title = {The undecidability of the lattice of r.e. closed subsets of an
  effective topological space},
  journal = {Annals of Pure and Applied Logic},
  year = {1987},
  volume = {35},
  pages = {193--203}
}

@Book{BR87a,
  author = {Bridges, Douglas and Richman, Fred},
  title = {Varieties of Constructive Mathematics},
  year = {1987},
  series = {London Mathematical Society Lecture Note Series},
  volume = {97},
  publisher = {Cambridge University Press},
  address = {Cambridge}
}

@Article{BR91,
  author = {Bridges, Douglas S. and Richman, Fred},
  title = {A recursive counterexample to {D}ebreu's theorem on the existence of
  a utility function},
  journal = {Mathematical Social Sciences},
  year = {1991},
  volume = {21},
  number = {2},
  pages = {179--182}
}

@Article{BR99,
  author = {Bridges, Douglas and Reeves, Steve},
  title = {Constructive mathematics in theory and programming practice},
  journal = {Philosophia Mathematica. Philosophy of Mathematics, its Learning,
  and its Application. Series III},
  year = {1999},
  volume = {7},
  number = {1},
  pages = {65--104},
  note = {Mathematical proof}
}

@Article{BRJM92,
  author = {Bridges, D. S. and Richman, F. and Julian, W. H. and Mines, R.},
  title = {Extensions and fixed points of contractive maps in ${\bf{R}}\sp n$},
  journal = {Journal of Mathematical Analysis and Applications},
  year = {1992},
  volume = {165},
  number = {2},
  pages = {438--456}
}

@Article{BRS00,
  author = {Bridges, Douglas and Richman, Fred and Schuster, Peter},
  title = {Linear independence without choice},
  journal = {Annals of Pure and Applied Logic},
  year = {2000},
  volume = {101},
  number = {1},
  pages = {95--102}
}

@Article{BRS00a,
  author = {Bridges, Douglas and Richman, Fred and Schuster, Peter},
  title = {A weak countable choice principle},
  journal = {Proceedings of the American Mathematical Society},
  year = {2000},
  volume = {128},
  number = {9},
  pages = {2749--2752}
}

@Article{BRS00b,
  author = {Bridges, Douglas and Richman, Fred and Schuster, Peter},
  title = {Adjoints, absolute values, and polar decompositions},
  journal = {J. Operator Theory},
  year = {2000},
  volume = {44},
  number = {2},
  pages = {243--254}
}

@Article{BRY96,
  author = {Bridges, Douglas and Richman, Fred and Yuchuan, Wang},
  title = {Sets, complements and boundaries},
  journal = {Indagationes Mathematicae},
  year = {1996},
  volume = {7},
  number = {4},
  pages = {425--445}
}

@Article{BS00,
  author = {Bridges, Douglas and Svozil, Karl},
  title = {Constructive mathematics and quantum physics},
  journal = {J. Theor. Physics},
  year = {2000},
  volume = {39},
  pages = {501--513}
}

@InProceedings{BS03,
  author = {Bauer, Andrej and Simpson, Alex},
  title = {Locally non-compact spaces and continuity principles},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus
  and Zhong, Ning},
  year = {2003},
  month = {August},
  series = {Informatik Berichte},
  volume = {302},
  pages = {103--116},
  publisher = {FernUniversit\"at in Hagen},
  note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30,
  2003}
}

@Article{BS04,
  author = {Bauer, Andrej and Simpson, Alex},
  title = {Two constructive embedding-extension theorems with applications to
  continuity principles and to {B}anach-{M}azur computability},
  journal = {Mathematical Logic Quarterly},
  year = {2004},
  volume = {50},
  number = {4,5},
  pages = {351--369}
}

@InProceedings{BS05,
  author = {Brattka, Vasco and Schr{\"{o}}der, Matthias},
  title = {Computing with Sequences, Weak Topologies and the Axiom of Choice},
  booktitle = {Computer science logic},
  editor = {Ong, Luke},
  year = {2005},
  series = {Lecture Notes in Computer Science},
  volume = {3634},
  pages = {462--476},
  publisher = {Springer}
}

@Article{BS05a,
  author = {Badaev, Serikzhan and Spreen, Dieter},
  title = {A note on partial numberings},
  journal = {Mathematical Logic Quarterly},
  year = {2005},
  volume = {51},
  number = {2},
  pages = {129--136}
}

@Article{BS06,
  author = {Bridges, Douglas and Schuster, Peter},
  title = {A simple constructive proof of {K}ronecker's density theorem},
  journal = {Elemente der Mathematik},
  year = {2006},
  volume = {61},
  pages = {152--154}
}

@InProceedings{BS07,
  author = {Bauer, Andrej and Stone, Christopher A.},
  title = {{RZ}: {A} Tool for Bringing Constructive and Computable Mathematics
  Closer to Programming Practice},
  booktitle = {Computation and Logic in the Real World},
  editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
  year = {2007},
  series = {Lecture Notes in Computer Science},
  volume = {4497},
  pages = {28--42},
  publisher = {Springer},
  address = {Berlin},
  note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy,
  June 18-23, 2007}
}

@Article{BS07a,
  author = {Becher, Ver{\'{o}}nica and Grigorieff, Serge},
  title = {Random reals {\'a} la {C}haitin with or without prefix-freeness},
  journal = {Theoretical Computer Science},
  year = {2007},
  volume = {385},
  pages = {193--201}
}

@Article{BS09,
  author = {Bauer, Andrej and Stone, Christopher A.},
  title = {{RZ}: a Tool for Bringing Constructive and Computable Mathematics
  Closer to Programming Practice},
  journal = {Journal of Logic and Computation},
  year = {2009},
  volume = {19},
  number = {1},
  pages = {17--43}
}

@Article{BST02,
  author = {Blanck, Jens and Stoltenberg-Hansen, Viggo and Tucker, John V.},
  title = {Domain representations of partial functions, with applications to
  spatial objects and constructive volume geometry},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {284},
  number = {2},
  pages = {207--240}
}

@InProceedings{BST08,
  author = {Blanck, Jens and Stoltenberg-Hansen, Viggo and Tucker, John V.},
  title = {Stability for Effective Algebras},
  booktitle = {{CCA} 2008, Fifth International Conference on Computability and
  Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  pages = {3--15},
  publisher = {Elsevier},
  note = {CCA 2008, Fifth International Conference, Hagen, Germany, August
  21--24, 2008}
}

@Article{BSV02,
  author = {Bridges, Douglas and Schuster, Peter and V{\^{\i}}{\c{t}}{\u{a}},
  Lumini{\c{t}}a},
  title = {Apartness, Topology, and Uniformity: a Constructive View},
  journal = {Mathematical Logic Quarterly},
  year = {2002},
  volume = {48},
  number = {Suppl. 1},
  pages = {16--28}
}

@Proceedings{BSW02,
  title = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
  year = {2002},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {66(1)},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {5th International Workshop, CCA 2002, M{\'{a}}laga, Spain, July
  12--13, 2002}
}

@Proceedings{BSW05,
  title = {Proceedings of the 6th Workshop on Computability and Complexity in
  Analysis},
  editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
  year = {2005},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {120},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {6th International Workshop, CCA 2004, Wittenberg, Germany, August
  16--20, 2004}
}

@TechReport{BSWZ03,
  author = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus
  and Zhong, Ning},
  title = {Computability and Complexity in Analysis},
  year = {2003},
  month = {August},
  number = {302},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at in Hagen},
  address = {Hagen},
  note = {Proccedings, International Conference, CCA 2003, Cincinnati, USA,
  August 28--30, 2003}
}

@InProceedings{BT05,
  author = {Bauer, Andrej and Taylor, Paul},
  title = {The {D}edekind reals in abstract {S}tone duality},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
  Klaus},
  year = {2005},
  month = {July},
  series = {Informatik Berichte},
  volume = {326},
  pages = {25--64},
  publisher = {FernUniversit\"at in Hagen},
  note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan,
  August 25--29, 2005}
}

@Article{BT07,
  author = {Beggs, Edwin J. and Tucker, John V.},
  title = {Can {N}ewtonian systems, bounded in space, time, mass and energy
  compute all functions?},
  journal = {Theoretical Computer Science},
  year = {2007},
  volume = {371},
  pages = {4--19}
}

@Article{BV00,
  author = {Bridges, Douglas and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
  title = {Constructing extensions of ultraweakly continuous linear
  functionals},
  journal = {J. Functional Analysis},
  year = {2000},
  volume = {178},
  number = {2},
  pages = {421--434}
}

@Article{BV01,
  author = {Bridges, Douglas and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
  title = {Characterising Near Continuity Constructively},
  journal = {Mathematical Logic Quarterly},
  year = {2001},
  volume = {47},
  number = {4},
  pages = {535--538}
}

@Article{BV02,
  author = {Bridges, Douglas and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
  title = {Cauchy nets in the constructive theory of apartness spaces},
  journal = {Scientiae Mathematicae Japonicae},
  year = {2002},
  volume = {56},
  number = {1},
  pages = {123--132}
}

@Article{BV03,
  author = {Bridges, Douglas and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
  title = {Apartness spaces as a framework for constructive topology},
  journal = {Annals of Pure and Applied Logic},
  year = {2003},
  volume = {119},
  number = {1-3},
  pages = {61--83}
}

@Article{BV03a,
  author = {Bridges, Douglas and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
  title = {A proof-technique in uniform space theory},
  journal = {The Journal of Symbolic Logic},
  year = {2003},
  volume = {68},
  number = {3},
  pages = {795--802}
}

@Article{BV03b,
  author = {Bridges, Douglas and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
  title = {Separatedness in constructive topology},
  journal = {Documenta Mathematica},
  year = {2003},
  volume = {8},
  pages = {567--576}
}

@Article{BV03c,
  author = {Bridges, Douglas and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
  title = {Cauchy nets in uniform apartness spaces},
  journal = {Revue Roumaine de Math\'ematiques Pures et Appliqu\'ees},
  year = {2003},
  volume = {48},
  number = {5-6},
  pages = {467--474}
}

@Article{BV03d,
  author = {Bridges, Douglas and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
  title = {Strong and uniform continuity---the uniform space case},
  journal = {LMS Journal of Computation and Mathematics},
  year = {2003},
  volume = {6},
  pages = {326--334}
}

@Article{BV04a,
  author = {Bridges, Douglas and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
  title = {Corrigendum to: ``{A} proof-technique in uniform space theory''},
  journal = {The Journal of Symbolic Logic},
  year = {2004},
  volume = {69},
  number = {1},
  pages = {328}
}

@InProceedings{BV05,
  author = {Bridges, Douglas and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
  title = {A general constructive proof technique},
  booktitle = {Proceedings of the 6th Workshop on Computability and Complexity
  in Analysis},
  editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
  year = {2005},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {120},
  pages = {31--43},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {6th International Workshop, CCA 2004, Wittenberg, Germany, August
  16--20, 2004}
}

@InProceedings{BV05a,
  author = {Bridges, Douglas and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
  title = {An extension theorem for ultraweakly continuous linear functionals
  on $B(X,Y)$},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
  Klaus},
  year = {2005},
  month = {July},
  series = {Informatik Berichte},
  volume = {326},
  pages = {77--89},
  publisher = {FernUniversit\"at in Hagen},
  note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan,
  August 25--29, 2005}
}

@InProceedings{BV05b,
  author = {Bridges, Douglas and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
  title = {Proximal connectedness},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
  Klaus},
  year = {2005},
  month = {July},
  series = {Informatik Berichte},
  volume = {326},
  pages = {91--101},
  publisher = {FernUniversit\"at in Hagen},
  note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan,
  August 25--29, 2005}
}

@Book{BV06,
  author = {Bridges, Douglas and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
  title = {Techniques of Constructive Analysis},
  year = {2006},
  publisher = {Springer},
  address = {New York}
}

@Article{BV06a,
  author = {Bridges, Douglas and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
  title = {Pre-apartness structures on spaces of functions},
  journal = {Journal of Complexity},
  year = {2006},
  volume = {22},
  number = {6},
  pages = {881--893}
}

@Article{BV08,
  author = {Bridges, Douglas and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
  title = {Proximal Connectedness},
  journal = {Fundamenta Informaticae},
  year = {2008},
  volume = {83},
  number = {1--2},
  pages = {25--34}
}

@Article{BV98,
  author = {Boldi, Paolo and Vigna, Sebastiano},
  title = {$\delta$-uniform {BSS} Machines},
  journal = {Journal of Complexity},
  year = {1998},
  volume = {14},
  number = {2},
  pages = {234--256}
}

@Article{BV99,
  author = {Boldi, Paolo and Vigna, Sebastiano},
  title = {Equality is a Jump},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {219},
  pages = {49--64}
}

@Article{BW02,
  author = {Bridges, Douglas S. and Ward, Nicholas Dudley},
  title = {Kernels of seminorms in constructive analysis},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {284},
  number = {2},
  pages = {259--267}
}

@Article{BW97,
  author = {Bridges, Douglas and Wang, Yuchuan},
  title = {Constructive aspects of the {D}irichlet problem},
  journal = {Journal of Universal Computer Science},
  year = {1997},
  volume = {3},
  number = {11},
  pages = {1148--1161 (electronic)},
  note = {Proceedings of the First Japan-New Zealand Workshop on Logic in
  Computer Science (Auckland, 1997)}
}

@Article{BW97a,
  author = {Bridges, Douglas and Wang, Yuchuan},
  title = {Constructing cutoff functions},
  journal = {New Zealand Journal of Mathematics},
  year = {1997},
  volume = {26},
  number = {1},
  pages = {25--30}
}

@Article{BW98a,
  author = {Bridges, Douglas and Wang, Yuchuan},
  title = {Constructive weak solutions of the {D}irichlet problem},
  journal = {The Journal of the London Mathematical Society. Second Series},
  year = {1998},
  volume = {57},
  number = {3},
  pages = {655--667}
}

@Article{BW98b,
  author = {Bridges, Douglas and Wang, Yuchuan},
  title = {Constructing best approximations on a {J}ordan curve},
  journal = {Journal of Approximation Theory},
  year = {1998},
  volume = {94},
  number = {2},
  pages = {222--234}
}

@Article{BW98c,
  author = {Bridges, Douglas and Wang, Yuchuan},
  title = {Weak solutions of the {D}irichlet problem and the locatedness of
  ${H}\sp 1\sb 0(\Omega)$},
  journal = {New Zealand Journal of Mathematics},
  year = {1998},
  volume = {27},
  number = {1},
  pages = {1--5}
}

@Article{BW99,
  author = {Brattka, Vasco and Weihrauch, Klaus},
  title = {Computability on Subsets of {E}uclidean Space {I}: Closed and
  Compact Subsets},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {219},
  pages = {65--93}
}

@Article{BY06,
  author = {Brattka, Vasco and Yoshikawa, Atsushi},
  title = {Towards computability of elliptic boundary value problems in
  variational formulation},
  journal = {Journal of Complexity},
  year = {2006},
  volume = {22},
  number = {6},
  pages = {858--880}
}

@Article{BY06a,
  author = {Braverman, Mark and Yampolsky, M.},
  title = {Non-computable {J}ulia sets},
  journal = {Journal of the American Mathematical Society},
  year = {2006},
  volume = {19},
  number = {3},
  pages = {551--578}
}

@InProceedings{BZ02,
  author = {Brattka, Vasco and Ziegler, Martin},
  title = {Computability of linear equations},
  booktitle = {Foundations of Information Technology in the Era of Network and
  Mobile Computing},
  editor = {Baeza-Yates, Ricardo and Montanari, Ugo and Santoro, Nicola},
  year = {2002},
  series = {IFIP International Federation for Information Processing},
  volume = {223},
  pages = {95--106},
  publisher = {Kluwer Academic Publishers},
  address = {Dordrecht},
  note = {2nd IFIP International Conference on Theoretical Computer Science,
  Montr{\'e}al, Canada, August 25--30, 2002}
}

@Article{Bae83,
  author = {Baez, J.C.},
  title = {Recursivity in quantum mechanics},
  journal = {Trans. Amer. Math. Soc.},
  year = {1983},
  volume = {280},
  pages = {339--350}
}

@Article{Bai85,
  author = {Baigger, G.},
  title = {Die {N}ichtkonstruktivit{\"a}t des {B}rouwerschen {F}ixpunktsatzes},
  journal = {Arch. Math. Logik Grundlag.},
  year = {1985},
  volume = {25},
  pages = {183--188}
}

@Article{Bai99,
  author = {Baire, R.},
  title = {Sur les fonctions des variables reeles},
  journal = {Annali di matematica pura ed applicata},
  year = {1899},
  series = {3},
  volume = {3},
  pages = {1--123}
}

@InProceedings{Bar02,
  author = {Barmpalias, George},
  title = {On $0'$-computable Reals},
  booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
  year = {2002},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {66},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {5th International Workshop, CCA 2002, M{\'{a}}laga, Spain, July
  12--13, 2002}
}

@Article{Bar03,
  author = {Barmpalias, George},
  title = {A transfinite hierarchy of reals},
  journal = {Mathematical Logic Quarterly},
  year = {2003},
  volume = {49},
  number = {2},
  pages = {163--172}
}

@Article{Bar03a,
  author = {Barmpalias, George},
  title = {The approximation structure of a computably approximable real},
  journal = {The Journal of Symbolic Logic},
  year = {2003},
  volume = {68},
  number = {3},
  pages = {885--922}
}

@Article{Bar04,
  author = {Barmpalias, George},
  title = {Approximation representations for reals and their wtt-degrees},
  journal = {Mathematical Logic Quarterly},
  year = {2004},
  volume = {50},
  number = {4,5},
  pages = {370--380}
}

@PhdThesis{Bar04a,
  author = {Barmpalias, Georgios},
  title = {Computability and Applications to Analysis},
  year = {2004},
  school = {University of Leeds, School of Mathematics},
  address = {Leeds}
}

@Article{Bar04b,
  author = {Barmpalias, George},
  title = {Approximation representations for $\Delta_2$ reals},
  journal = {Archive for Mathematical Logic},
  year = {2004},
  volume = {43},
  number = {8},
  pages = {947--964}
}

@Article{Bar05,
  author = {Baroni, Marian Alexandru},
  title = {Constructive Suprema},
  journal = {Journal of Universal Computer Science},
  year = {2005},
  volume = {11},
  number = {12},
  pages = {1865--1877}
}

@Article{Bar06,
  author = {Barmpalias, George},
  title = {Random non-cupping revisited},
  journal = {Journal of Complexity},
  year = {2006},
  volume = {22},
  number = {6},
  pages = {850--857}
}

@InProceedings{Bat08,
  author = {Batra, Prashant},
  title = {Newton's method and the Computational Complexity of the Fundamental
  Theorem of Algebra},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {201--218},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@PhdThesis{Bau00,
  author = {Bauer, Andrej},
  title = {The Realizability Approach to Computable Analysis and Topology},
  year = {2000},
  school = {School of Computer Science, Carnegie Mellon University},
  address = {Pittsburgh}
}

@InProceedings{Bau01,
  author = {Bauer, Andrej},
  title = {A Relationship between Equilogical Spaces and Type Two Effectivity},
  booktitle = {Seventeenth Conference on the Mathematical Foundations of
  Programming Semantics},
  editor = {Brooks, Stephen and Mislove, Michael},
  year = {2001},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {45},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {MFPS 2001, Aarhus, Denmark May 23--26, 2001}
}

@Article{Bau02,
  author = {Bauer, Andrej},
  title = {A Relationship between Equilogical Spaces and Type Two Effectivity},
  journal = {Mathematical Logic Quarterly},
  year = {2002},
  volume = {48},
  number = {Suppl. 1},
  pages = {1--15}
}

@InCollection{Bee05,
  author = {Beeson, Michael},
  title = {Constructivity, Computability, and the Continuum},
  booktitle = {Essays on the Foundations of Mathematics and Logic},
  editor = {Sica, Giandomenico},
  year = {2005},
  series = {Advanced Studies in Mathematics and Logic},
  volume = {2},
  pages = {9--37},
  publisher = {Polimetrica},
  address = {Milano}
}

@InProceedings{Bee80,
  author = {Beeson, M.J.},
  title = {Problematic principles in constructive mathematics},
  booktitle = {Logic Colloquium '80},
  year = {1980},
  series = {Studies in Logic and the Foundations of Mathematics},
  volume = {108},
  pages = {11--55},
  publisher = {North-Holland},
  address = {Amsterdam}
}

@Book{Bee85,
  author = {Beeson, M.J.},
  title = {Foundations of {C}onstructive {M}athematics},
  year = {1985},
  series = {Ergeb. Math. Grenzgeb.},
  publisher = {Springer},
  address = {Berlin}
}

@Article{Ber05,
  author = {Berger, Josef},
  title = {Exact calculation of inverse functions},
  journal = {Mathematical Logic Quarterly},
  year = {2005},
  volume = {51},
  number = {2},
  pages = {201--205}
}

@Article{Ber05a,
  author = {Berger, Josef},
  title = {Constructive Equivalents of the Uniform Continuity Theorem},
  journal = {Journal of Universal Computer Science},
  year = {2005},
  volume = {11},
  number = {12},
  pages = {1878--1883}
}

@InProceedings{Ber06,
  author = {Berger, Josef},
  title = {The Logical Strength of the Uniform Continuity Theorem},
  booktitle = {Logical Approaches to Computational Barriers},
  editor = {Beckmann, A. and Berger, U. and L{\"o}we, B. and Tucker, J.V.},
  year = {2006},
  series = {Lecture Notes in Computer Science},
  volume = {3988},
  pages = {35--39},
  publisher = {Springer},
  address = {Berlin},
  note = {Second Conference on Computability in Europe, CiE 2006, Swansea, UK,
  June 30-July 5, 2006}
}

@Article{Ber07,
  author = {Bertot, Yves},
  title = {Affine functions and series with co-inductive real numbers},
  journal = {Mathematical Structures in Computer Science},
  year = {2007},
  volume = {17},
  pages = {37--63}
}

@InProceedings{Bis66,
  author = {Bishop, Errett},
  title = {Constructive {M}ethods in the {T}heory of {B}anach {A}lgebras},
  booktitle = {Function Algebras},
  editor = {Birtel, F.T.},
  year = {1966},
  pages = {343--345},
  publisher = {Scott-Foresman},
  address = {Chicago},
  note = {Proc. Internat. Sympos. on Function Algebras, Tulane Univ., 1965}
}

@Book{Bis67,
  author = {Bishop, Errett},
  title = {Foundations of Constructive Analysis},
  year = {1967},
  publisher = {McGraw-Hill},
  address = {New York}
}

@Article{Bis67a,
  author = {Bishop, Errett},
  title = {A constructive ergodic theorem},
  journal = {J. Math. Mech.},
  year = {1967/1968},
  volume = {17},
  pages = {631--639}
}

@Article{Bis68,
  author = {Bishop, Errett},
  title = {The constructivization of abstract mathematical analysis},
  journal = {Izdat. Mir},
  year = {1968},
  pages = {308--313},
  note = {Proc. Internat. Congr. Math., Moscow, 1968}
}

@Article{Bla00,
  author = {Blanck, Jens},
  title = {Domain representations of topological spaces},
  journal = {Theoretical Computer Science},
  year = {2000},
  volume = {247},
  pages = {229--255}
}

@InProceedings{Bla01,
  author = {Blanck, Jens},
  title = {Effectivity of Regular Spaces},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {1--15},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@InProceedings{Bla01a,
  author = {Blanck, Jens},
  title = {Exact Real Arithmetic Systems: Results of Competition},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {389--393},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@Article{Bla02,
  author = {Bl{\"a}ser, Markus},
  title = {Uniform computational complexity of the derivatives of
  {$C^\infty$}-functions},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {284},
  number = {2},
  pages = {199--206}
}

@Article{Bla05,
  author = {Blanck, Jens},
  title = {Efficient exact computation of iterated maps},
  journal = {The Journal of Logic and Algebraic Programming},
  year = {2005},
  volume = {64},
  pages = {41--59}
}

@Article{Bla97,
  author = {Blanck, Jens},
  title = {Domain representability of metric spaces},
  journal = {Annals of Pure and Applied Logic},
  year = {1997},
  volume = {83},
  pages = {225--247}
}

@PhdThesis{Bla97a,
  author = {Blanck, Jens},
  title = {Computability on topological spaces by effective domain
  representations},
  year = {1997},
  school = {Uppsala University, Department of Mathematics},
  address = {Uppsala, Sweden}
}

@Article{Bla99,
  author = {Blanck, Jens},
  title = {Effective domain representations of {$H(X)$}, the space of compact
  subsets},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {219},
  pages = {19--48}
}

@Article{Boe05,
  author = {Boehm, Hans-J.},
  title = {The constructive reals as a {J}ava library},
  journal = {The Journal of Logic and Algebraic Programming},
  year = {2005},
  volume = {64},
  pages = {3--11}
}

@InProceedings{Bos07,
  author = {Bosserhoff, Volker},
  title = {Computability of solutions of operator equations},
  booktitle = {Proceedings of the Third International Conference on
  Computability and Complexity in Analysis},
  editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
  Klaus},
  year = {2007},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {167},
  pages = {179--202},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2006, Gainesville, Florida, USA, November 1--5, 2006}
}

@Article{Bos07a,
  author = {Bosserhoff, Volker},
  title = {Computability of solutions of operator equations},
  journal = {Mathematical Logic Quarterly},
  year = {2007},
  volume = {53},
  number = {4--5},
  pages = {326--344}
}

@InProceedings{Bos08,
  author = {Bosserhoff, Volker},
  title = {Notions of Probabilistic Computability on Represented Spaces},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {137--170},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@Article{Bos08a,
  author = {Bosserhoff, Volker},
  title = {The Bit-Complexity of Finding Nearly Optimal Quadrature Rules for
  Weighted Integration},
  journal = {Journal of Universal Computer Science},
  year = {2008},
  volume = {14},
  number = {6},
  pages = {938--955}
}

@Article{Bos08b,
  author = {Bosserhoff, Volker},
  title = {Notions of Probabilistic Computability on Represented Spaces},
  journal = {Journal of Universal Computer Science},
  year = {2008},
  volume = {14},
  number = {6},
  pages = {956--995}
}

@Article{Bos08c,
  author = {Bosserhoff, Volker},
  title = {Are unbounded linear operators computable on the average for
  {G}aussian measures?},
  journal = {Journal of Complexity},
  year = {2008},
  volume = {24},
  number = {4},
  pages = {477--491}
}

@Article{Bos08d,
  author = {Bosserhoff, Volker},
  title = {Are unbounded linear operators computable on the average for
  {G}aussian measures?},
  journal = {Journal of Complexity},
  year = {2008},
  volume = {24},
  number = {4},
  pages = {477--491}
}

@InProceedings{Bos08e,
  author = {Bosserhoff, Volker},
  title = {On the Effective Existence of {S}chauder Bases (Extended Abstract)},
  booktitle = {{CCA} 2008, Fifth International Conference on Computability and
  Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  pages = {17--21},
  publisher = {Elsevier},
  note = {CCA 2008, Fifth International Conference, Hagen, Germany, August
  21--24, 2008}
}

@InProceedings{Bra00a,
  author = {Brattka, Vasco},
  title = {Realistic models of computability on the real numbers},
  booktitle = {Relevance and Feasibility of Mathematical Analysis on the
  Computer},
  editor = {Yoshikawa, Atsushi},
  year = {2000},
  series = {S\={u}rikaisekikenky\={u}sho K\={o}ky\={u}roku},
  volume = {1169},
  pages = {62--75},
  publisher = {Research Institute for Mathematical Sciences},
  address = {Kyoto}
}

@InProceedings{Bra01a,
  author = {Brattka, Vasco},
  title = {Computable versions of {B}aire's category theorem},
  booktitle = {Mathematical Foundations of Computer Science 2001},
  editor = {Sgall, Ji{\v{r}}{\'{\i}} and Pultr, Ale{\v{s}} and Kolman, Petr},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2136},
  pages = {224--235},
  publisher = {Springer},
  address = {Berlin},
  note = {26th International Symposium, MFCS 2001, Mari{\'{a}}nsk{\'{e}}
  L{\'{a}}zn{\v{e}}, Czech Republic, August 27-31, 2001}
}

@TechReport{Bra01b,
  author = {Brattka, Vasco},
  title = {Computability of {B}anach Space Principles},
  year = {2001},
  month = {June},
  number = {286},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen, Fachbereich Informatik},
  address = {Hagen}
}

@InProceedings{Bra02b,
  author = {Brattka, Vasco},
  title = {Random Numbers and an Incomplete Immune Recursive Set},
  booktitle = {Automata, Languages and Programming},
  editor = {Widmayer, Peter and Triguero, Francisco and Morales, Rafael and
  Hennessy, Matthew and Eidenbenz, Stephan and Conejo, Ricardo},
  year = {2002},
  series = {Lecture Notes in Computer Science},
  volume = {2380},
  pages = {950--961},
  publisher = {Springer},
  address = {Berlin},
  note = {29th International Colloquium, ICALP, M{\'{a}}laga, Spain, July
  8--13, 2002}
}

@Article{Bra02c,
  author = {Brattka, Vasco},
  title = {Some notes on {F}ine computability},
  journal = {Journal of Universal Computer Science},
  year = {2002},
  volume = {8},
  number = {3},
  pages = {382--395}
}

@InProceedings{Bra02d,
  author = {Brattka, Vasco},
  title = {Computing Uniform Bounds},
  booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
  year = {2002},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {66},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {5th International Workshop, CCA 2002, M{\'{a}}laga, Spain, July
  12--13, 2002}
}

@InCollection{Bra03,
  author = {Brattka, Vasco},
  title = {Computability over Topological Structures},
  booktitle = {Computability and Models},
  editor = {Cooper, S. Barry and Goncharov, Sergey S.},
  year = {2003},
  pages = {93--136},
  publisher = {Kluwer Academic Publishers},
  address = {New York}
}

@InProceedings{Bra03b,
  author = {Brattka, Vasco},
  title = {The Inversion Problem for Computable Linear Operators},
  booktitle = {STACS 2003},
  editor = {Alt, Helmut and Habib, Michel},
  year = {2003},
  series = {Lecture Notes in Computer Science},
  volume = {2607},
  pages = {391--402},
  publisher = {Springer},
  address = {Berlin},
  note = {20th Annual Symposium on Theoretical Aspects of Computer Science,
  Berlin, Germany, February 27--March 1, 2003}
}

@Article{Bra03c,
  author = {Brattka, Vasco},
  title = {Effective Representations of the Space of Linear Bounded Operators},
  journal = {Applied General Topology},
  year = {2003},
  volume = {4},
  number = {1},
  pages = {115--131}
}

@TechReport{Bra03d,
  author = {Brattka, Vasco},
  title = {Plottable real number functions and the computable graph theorem},
  year = {2003},
  month = {July},
  number = {300},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at in Hagen, Fachbereich Informatik},
  address = {Hagen}
}

@Article{Bra03e,
  author = {Brattka, Vasco},
  title = {Recursive Quasi-Metric Spaces},
  journal = {Theoretical Computer Science},
  year = {2003},
  volume = {305},
  pages = {17--42}
}

@InProceedings{Bra03f,
  author = {Brattka, Vasco},
  title = {The Emperor's New Recursiveness: The Epigraph of the Exponential
  Function in Two Models of Computability},
  booktitle = {Words, Languages \& Combinatorics III},
  editor = {Ito, Masami and Imaoka, Teruo},
  year = {2003},
  pages = {63--72},
  publisher = {World Scientific Publishing},
  address = {Singapore},
  note = {ICWLC 2000, Kyoto, Japan, March 14--18, 2000}
}

@TechReport{Bra03i,
  author = {Brattka, Vasco},
  title = {Computability on Asymmetric Spaces},
  year = {2003},
  month = {December},
  number = {305},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at in Hagen, Fachbereich Informatik},
  address = {Hagen}
}

@InCollection{Bra04,
  author = {Brattka, Vasco},
  title = {Du 13-i{\`e}me probl{\`e}me de {H}ilbert {\`a} la th{\'e}orie des
  r{\'e}seaux de neurones : aspects constructifs du th{\'e}or{\`e}me de
  superposition de {K}olmogorov},
  booktitle = {L'h{\'e}ritage de {K}olmogorov en math{\'e}matiques},
  editor = {Charpentier, {\'E}ric and Lesne, Annick and Nikolski,
  Nikola${\ddot{\i}}$},
  year = {2004},
  pages = {241--268},
  publisher = {{\'E}ditions Belin},
  address = {Paris}
}

@Article{Bra05,
  author = {Brattka, Vasco},
  title = {Effective {B}orel measurability and reducibility of functions},
  journal = {Mathematical Logic Quarterly},
  year = {2005},
  volume = {51},
  number = {1},
  pages = {19--44}
}

@InProceedings{Bra05a,
  author = {Brattka, Vasco},
  title = {On the {B}orel Complexity of {H}ahn-{B}anach Extensions},
  booktitle = {Proceedings of the 6th Workshop on Computability and Complexity
  in Analysis},
  editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
  year = {2005},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {120},
  pages = {3--16},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {6th International Workshop, CCA 2004, Wittenberg, Germany, August
  16--20, 2004}
}

@InProceedings{Bra05b,
  author = {Braverman, Mark},
  title = {Hyperbolic {J}ulia Sets are Poly-Time Computable},
  booktitle = {Proceedings of the 6th Workshop on Computability and Complexity
  in Analysis},
  editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
  year = {2005},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {120},
  pages = {17--30},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {6th International Workshop, CCA 2004, Wittenberg, Germany, August
  16--20, 2004}
}

@InCollection{Bra05d,
  author = {Brattka, Vasco},
  title = {Computability on Non-Separable {B}anach Spaces and {L}andau's
  Theorem},
  booktitle = {From Sets and Types to Topology and Analysis: Towards
  Practicable Foundations for Constructive Mathematics},
  editor = {Crosilla, Laura and Schuster, Peter},
  year = {2005},
  pages = {316--333},
  publisher = {Oxford University Press}
}

@InProceedings{Bra06,
  author = {Brattka, Vasco},
  title = {Computable Versions of the Uniform Boundedness Theorem},
  booktitle = {Logic Colloquium 2002},
  editor = {Chatzidakis, Z. and Koepke, P. and Pohlers, W.},
  year = {2006},
  series = {Lecture Notes in Logic},
  volume = {27},
  pages = {130--151},
  publisher = {Association for Symbolic Logic},
  address = {Urbana}
}

@Article{Bra06a,
  author = {Braverman, Mark},
  title = {Parabolic {J}ulia sets are polynomial time computable},
  journal = {Nonlinearity},
  year = {2006},
  volume = {19},
  number = {6},
  pages = {1383--1401}
}

@InCollection{Bra07,
  author = {Brattka, Vasco},
  title = {From {H}ilbert's 13th {P}roblem to the theory of neural networks:
  constructive aspects of {K}olmogorov's {S}uperposition {T}heorem},
  booktitle = {Kolmogorov's Heritage in Mathematics},
  editor = {Charpentier, {\'E}ric and Lesne, Annick and Nikolski,
  Nikola${\ddot{\i}}$},
  year = {2007},
  pages = {253--280},
  publisher = {Springer},
  address = {Berlin}
}

@Article{Bra08,
  author = {Brattka, Vasco},
  title = {Plottable real number functions and the computable graph theorem},
  journal = {SIAM Journal on Computing},
  year = {2008},
  volume = {38},
  number = {1},
  pages = {303--328}
}

@Article{Bra08b,
  author = {Brattka, Vasco},
  title = {Borel Complexity and Computability of the {H}ahn-{B}anach
  {T}heorem},
  journal = {Archive for Mathematical Logic},
  year = {2008},
  volume = {46},
  number = {7--8},
  pages = {547--564}
}

@Article{Bra09,
  author = {Brattka, Vasco},
  title = {A computable version of {B}anach's Inverse Mapping Theorem},
  journal = {Annals of Pure and Applied Logic},
  year = {2009},
  volume = {157},
  pages = {85--96}
}

@InProceedings{Bra95,
  author = {Brattka, Vasco},
  title = {Computable selection in analysis},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Ko, Ker-I and Weihrauch, Klaus},
  year = {1995},
  month = {September},
  series = {Informatik Berichte},
  volume = {190},
  pages = {125--138},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA Workshop, Hagen, August 19--20, 1995}
}

@Article{Bra96,
  author = {Brattka, Vasco},
  title = {Recursive characterization of computable real-valued functions and
  relations},
  journal = {Theoretical Computer Science},
  year = {1996},
  volume = {162},
  pages = {45--77}
}

@Article{Bra97,
  author = {Brattka, Vasco},
  title = {Order-free Recursion on the Real Numbers},
  journal = {Mathematical Logic Quarterly},
  year = {1997},
  volume = {43},
  pages = {216--234}
}

@PhdThesis{Bra98b,
  author = {Brattka, Vasco},
  title = {Recursive and Computable Operations over Topological Structures},
  year = {1998},
  school = {Fachbereich Informatik},
  address = {FernUniversit\"{a}t Hagen}
}

@Article{Bra99,
  author = {Brattka, Vasco},
  title = {Computable invariance},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {210},
  pages = {3--20}
}

@InProceedings{Bra99a,
  author = {Brattka, Vasco},
  title = {A Stability Theorem for Recursive Analysis},
  booktitle = {Combinatorics, Computation \& Logic},
  editor = {Cristian S. Calude and Michael J. Dinneen},
  year = {1999},
  series = {Discrete Mathematics and Theoretical Computer Science},
  pages = {144--158},
  publisher = {Springer},
  address = {Singapore},
  note = {Proceedings of DMTCS'99 and CATS'99, Auckland, New Zealand, January
  1999}
}

@Article{Bri00,
  author = {Bridges, Douglas},
  title = {Converses of {B}ishop's lemma on located sets},
  journal = {Indagationes Mathematicae},
  year = {2000},
  volume = {11},
  number = {1},
  pages = {31--38}
}

@Article{Bri00a,
  author = {Bridges, Douglas},
  title = {A constructive look at functions of bounded variation},
  journal = {Bull. London Math. Soc.},
  year = {2000},
  volume = {32},
  number = {3},
  pages = {316--324}
}

@Article{Bri00b,
  author = {Bridges, Douglas},
  title = {Constructive methods in {B}anach algebra theory},
  journal = {Mathematica Japonica},
  year = {2000},
  volume = {52},
  number = {1},
  pages = {145--161}
}

@Article{Bri01,
  author = {Bridges, Douglas},
  title = {Prime and maximal ideals in constructive ring theory},
  journal = {Communications in Algebra},
  year = {2001},
  volume = {29},
  number = {7},
  pages = {2787--2803}
}

@InProceedings{Bri01a,
  author = {Bridges, Douglas},
  title = {Dini's Theorem: A Constructive Case Study},
  booktitle = {Combinatorics, Computability and Logic},
  editor = {Calude, C.S. and Dinneen, M.J. and Sburlan, S.},
  year = {2001},
  series = {Discrete Mathematics and Theoretical Computer Science},
  pages = {69--80},
  publisher = {Springer},
  address = {London},
  note = {Proceedings of DMTCS 2001}
}

@Article{Bri02,
  author = {Bridges, Douglas},
  title = {Reality and virtual reality in mathematics},
  journal = {Bulletin of the European Association for Theoretical Computer
  Science},
  year = {2002},
  volume = {78},
  pages = {221--230}
}

@InProceedings{Bri03,
  author = {Bridges, Douglas S.},
  title = {First steps in constructive game theory},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus
  and Zhong, Ning},
  year = {2003},
  month = {August},
  series = {Informatik Berichte},
  volume = {302},
  pages = {3--9},
  publisher = {FernUniversit\"at in Hagen},
  note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30,
  2003}
}

@Article{Bri04,
  author = {Bridges, Douglas S.},
  title = {First steps in constructive game theory},
  journal = {Mathematical Logic Quarterly},
  year = {2004},
  volume = {50},
  number = {4,5},
  pages = {501--506}
}

@Article{Bri04a,
  author = {Bridges, Douglas S.},
  title = {Constructivity in mathematics},
  journal = {Cubo},
  year = {2004},
  volume = {6},
  number = {1},
  pages = {209--258}
}

@Article{Bri04b,
  author = {Bridges, Douglas S.},
  title = {Constructive complements of unions of two closed sets},
  journal = {Mathematical Logic Quarterly},
  year = {2004},
  volume = {50},
  number = {3},
  pages = {293--294}
}

@InCollection{Bri06,
  author = {Bridges, Douglas S.},
  title = {{C}hurch's thesis and {B}ishop's constructivism},
  booktitle = {{C}hurch's Thesis After 70 Years},
  editor = {Olszewski, Adam},
  year = {2006},
  pages = {58--65},
  publisher = {Ontos},
  address = {Berlin}
}

@InProceedings{Bri07,
  author = {Bridges, Douglas S.},
  title = {Colocatedness and {L}ebesgue Integrability},
  booktitle = {Computation and Logic in the Real World},
  editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
  year = {2007},
  series = {Lecture Notes in Computer Science},
  volume = {4497},
  pages = {98--104},
  publisher = {Springer},
  address = {Berlin},
  note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy,
  June 18-23, 2007}
}

@Article{Bri07a,
  author = {Bridges, Douglas S.},
  title = {Constructing local optima on a compact interval},
  journal = {Archive for Mathematical Logic},
  year = {2007},
  volume = {46},
  pages = {149--154}
}

@InCollection{Bri07b,
  author = {Bridges, Douglas S.},
  title = {Philosophy of mathematics: 5 questions},
  booktitle = {Philosophy of mathematics: 5 questions},
  editor = {Hendricks, Vincent F. and Leitgeb, Hannes},
  year = {2007},
  pages = {45--49},
  publisher = {Automatic Press/VIP},
  address = {New York, London}
}

@Article{Bri07c,
  author = {Briseid, Eyvind},
  title = {A rate of convergence for asymptotic contractions},
  journal = {J. Math. Anal. Appl.},
  year = {2007},
  volume = {330},
  pages = {364--376}
}

@Article{Bri07d,
  author = {Briseid, Eyvind},
  title = {Some results on {K}irk's asymptotic contractions},
  journal = {Fixed Point Theory},
  year = {2007},
  volume = {8},
  pages = {17--27}
}

@Article{Bri08,
  author = {Bridges, Douglas S.},
  title = {Uniform continuity properties of preference relations},
  journal = {Notre Dame Journal of Formal Logic},
  year = {2008},
  volume = {49},
  number = {1},
  pages = {97--106}
}

@Article{Bri08a,
  author = {Bridges, Douglas S.},
  title = {Product a-frames and proximity},
  journal = {Mathematical Logic Quarterly},
  year = {2008},
  volume = {54},
  number = {1},
  pages = {12--25}
}

@Article{Bri76,
  author = {Bridges, Douglas S.},
  title = {Some notes on continuity in constructive analysis},
  journal = {Bull. London Math. Soc.},
  year = {1976},
  volume = {8},
  number = {2},
  pages = {179--182}
}

@Article{Bri77,
  author = {Bridges, Douglas S.},
  title = {A constructive look at orthonormal bases in {H}ilbert space},
  journal = {Amer. Math. Monthly},
  year = {1977},
  volume = {84},
  number = {3},
  pages = {189--191}
}

@Article{Bri77a,
  author = {Bridges, Douglas S.},
  title = {The constructive {R}adon-{N}ikod\'ym theorem},
  journal = {Pacific J. Math.},
  year = {1977},
  volume = {70},
  number = {1},
  pages = {51--65}
}

@Article{Bri78,
  author = {Bridges, Douglas S.},
  title = {A note on {M}orse's lambda-notation in set theory},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1978},
  volume = {24},
  number = {2},
  pages = {113--114}
}

@Article{Bri78a,
  author = {Bridges, Douglas S.},
  title = {On weak operator compactness of the unit ball of ${L}({H})$},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1978},
  volume = {24},
  number = {6},
  pages = {493--494}
}

@Article{Bri78b,
  author = {Bridges, Douglas S.},
  title = {On the connectivity of convex sets},
  journal = {The Bulletin of the London Mathematical Society},
  year = {1978},
  volume = {10},
  number = {1},
  pages = {86--90}
}

@Article{Bri78c,
  author = {Bridges, Douglas S.},
  title = {On continuous mappings between locally compact metric spaces},
  journal = {The Bulletin of the London Mathematical Society},
  year = {1978},
  volume = {10},
  number = {2},
  pages = {201--208}
}

@Article{Bri78d,
  author = {Bridges, D. S.},
  title = {More on the connectivity of convex sets},
  journal = {Proceedings of the American Mathematical Society},
  year = {1978},
  volume = {68},
  number = {2},
  pages = {214--216}
}

@Book{Bri79,
  author = {Bridges, Douglas S.},
  title = {Constructive Functional Analysis},
  year = {1979},
  publisher = {Pitman},
  address = {London}
}

@Article{Bri79a,
  author = {Bridges, Douglas S.},
  title = {Connectivity properties of metric spaces},
  journal = {Pacific Journal of Mathematics},
  year = {1979},
  volume = {80},
  number = {2},
  pages = {325--331}
}

@Article{Bri79b,
  author = {Bridges, Douglas S.},
  title = {On the constructive convergence of series of independent functions},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1979},
  volume = {25},
  number = {1},
  pages = {93--96}
}

@Article{Bri79c,
  author = {Bridges, Douglas S.},
  title = {A criterion for compactness in metric spaces?},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1979},
  volume = {25},
  number = {2},
  pages = {97--98}
}

@Article{Bri79d,
  author = {Bridges, Douglas S.},
  title = {Geometric intuition and elementary constructive analysis},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1979},
  volume = {25},
  number = {6},
  pages = {521--523}
}

@Article{Bri80,
  author = {Bridges, Douglas S.},
  title = {On the foundations of best-approximation theory},
  journal = {Journal of Approximation Theory},
  year = {1980},
  volume = {28},
  number = {3},
  pages = {273--292}
}

@Article{Bri80a,
  author = {Bridges, Douglas S.},
  title = {A constructive development of {C}hebyshev approximation theory},
  journal = {Journal of Approximation Theory},
  year = {1980},
  volume = {30},
  number = {2},
  pages = {99--120}
}

@InProceedings{Bri81,
  author = {Bridges, Douglas S.},
  title = {Towards a constructive foundation for quantum mechanics},
  booktitle = {Constructive Mathematics},
  editor = {Richman, F.},
  year = {1981},
  series = {Lecture Notes in Mathematics},
  volume = {873},
  pages = {260--273},
  note = {Proc. New Mexico State Univ. Conf., Aug. 11--15, 1980, Las Cruces,
  NM}
}

@Article{Bri81a,
  author = {Bridges, Douglas S.},
  title = {A constructive look at positive linear functionals on
  ${\cal{L}}({H})$},
  journal = {Pacific Journal of Mathematics},
  year = {1981},
  volume = {95},
  number = {1},
  pages = {11--25}
}

@Article{Bri81b,
  author = {Bridges, Douglas S.},
  title = {On the isolation of zeroes of an analytic function},
  journal = {Pacific Journal of Mathematics},
  year = {1981},
  volume = {96},
  number = {1},
  pages = {13--22}
}

@Article{Bri81c,
  author = {Bridges, Douglas S.},
  title = {Correction to: ``{O}n the isolation of zeroes of an analytic
  function''\ [{P}acific {J}. {M}ath. {\bf 96} (1981), no. 1, 13--22; {M}{R}
  82k:03095]},
  journal = {Pacific Journal of Mathematics},
  year = {1981},
  volume = {97},
  number = {2},
  pages = {487--488}
}

@Article{Bri81d,
  author = {Bridges, Douglas S.},
  title = {A constructive analysis of the {R}emes algorithm},
  journal = {Journal of Approximation Theory},
  year = {1981},
  volume = {32},
  number = {4},
  pages = {257--270}
}

@Article{Bri81e,
  author = {Bridges, Douglas S.},
  title = {A constructive proximinality property of finite-dimensional linear
  subspaces},
  journal = {The Rocky Mountain Journal of Mathematics},
  year = {1981},
  volume = {11},
  number = {4},
  pages = {491--497}
}

@Article{Bri81f,
  author = {Bridges, Douglas S.},
  title = {On {M}ontel's proof of the great {P}icard theorem},
  journal = {The American Mathematical Monthly},
  year = {1981},
  volume = {88},
  number = {1},
  pages = {45--47}
}

@Article{Bri82,
  author = {Bridges, Douglas S.},
  title = {Preference and utility: a constructive development},
  journal = {Journal of Mathematical Economics},
  year = {1982},
  volume = {9},
  number = {1-2},
  pages = {165--185}
}

@Article{Bri82a,
  author = {Bridges, Douglas S.},
  title = {Lipschitz constants and moduli of continuity for the {C}hebyshev
  projection},
  journal = {Proceedings of the American Mathematical Society},
  year = {1982},
  volume = {85},
  number = {4},
  pages = {557--561}
}

@InCollection{Bri82b,
  author = {Bridges, Douglas S.},
  title = {Recent progress in constructive approximation theory},
  booktitle = {The L. E. J. Brouwer Centenary Symposium (Noordwijkerhout,
  1981)},
  year = {1982},
  pages = {41--50},
  publisher = {North-Holland},
  address = {Amsterdam}
}

@Article{Bri83,
  author = {Bridges, Douglas S.},
  title = {Numerical representation of intransitive preferences on a countable
  set},
  journal = {Journal of Economic Theory},
  year = {1983},
  volume = {30},
  number = {1},
  pages = {213--217}
}

@Article{Bri83a,
  author = {Bridges, Douglas S.},
  title = {A numerical representation of preferences with intransitive
  indifference},
  journal = {Journal of Mathematical Economics},
  year = {1983},
  volume = {11},
  number = {1},
  pages = {25--42}
}

@Article{Bri85,
  author = {Bridges, Douglas S.},
  title = {Representing interval orders by a single real-valued function},
  journal = {Journal of Economic Theory},
  year = {1985},
  volume = {36},
  number = {1},
  pages = {149--155}
}

@Article{Bri85a,
  author = {Bridges, Douglas S.},
  title = {Operator ranges, integrable sets, and the functional calculus},
  journal = {Houston Journal of Mathematics},
  year = {1985},
  volume = {11},
  number = {1},
  pages = {31--44}
}

@Article{Bri86,
  author = {Bridges, Douglas S.},
  title = {Numerical representation of interval orders on a topological space},
  journal = {Journal of Economic Theory},
  year = {1986},
  volume = {38},
  number = {1},
  pages = {160--166}
}

@InCollection{Bri87,
  author = {Bridges, Douglas S.},
  title = {A constructive {M}orse theory of sets},
  booktitle = {Mathematical logic and its applications (Druzhba, 1986)},
  year = {1987},
  pages = {61--79},
  publisher = {Plenum},
  address = {New York}
}

@Article{Bri88,
  author = {Bridges, Douglas S.},
  title = {Locatedness, convexity, and Lebesque measurability},
  journal = {Quart. J. Math. Oxford Ser. 2},
  year = {1988},
  volume = {39},
  pages = {411--421}
}

@Article{Bri88a,
  author = {Bridges, Douglas S.},
  title = {The {E}uclidean distance construction of order homomorphisms},
  journal = {Mathematical Social Sciences},
  year = {1988},
  volume = {15},
  number = {2},
  pages = {179--188}
}

@Article{Bri89,
  author = {Bridges, Douglas S.},
  title = {A general constructive intermediate value theorem},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1989},
  volume = {35},
  pages = {433--435}
}

@Article{Bri89a,
  author = {Bridges, Douglas S.},
  title = {The constructive theory of preference relations on a locally compact
  space},
  journal = {Indagationes Mathematicae},
  year = {1989},
  volume = {51},
  number = {2},
  pages = {141--165}
}

@Article{Bri89b,
  author = {Bridges, Douglas S.},
  title = {Approximate interpolation by functions in a {H}aar space},
  journal = {Journal of Approximation Theory},
  year = {1989},
  volume = {57},
  number = {1},
  pages = {35--39}
}

@Article{Bri90,
  author = {Bridges, Douglas S.},
  title = {Preference, indifference, and {M}arkov's principle},
  journal = {Mathematical Social Sciences},
  year = {1990},
  volume = {20},
  number = {2},
  pages = {131--145}
}

@InCollection{Bri90a,
  author = {Bridges, Douglas S.},
  title = {Order isomorphisms---a constructive measure-theoretic view},
  booktitle = {Mathematical logic},
  year = {1990},
  pages = {243--255},
  publisher = {Plenum},
  address = {New York}
}

@Article{Bri91,
  author = {Bridges, Douglas S.},
  title = {The constructive inequivalence of various notions of preference
  ordering},
  journal = {Mathematical Social Sciences},
  year = {1991},
  volume = {21},
  number = {2},
  pages = {169--176}
}

@Article{Bri93,
  author = {Bridges, Douglas S.},
  title = {Sequential, pointwise, and uniform continuity: a constructive note},
  journal = {Mathematical Logic Quarterly},
  year = {1993},
  volume = {39},
  number = {1},
  pages = {55--61}
}

@Article{Bri93a,
  author = {Bridges, Douglas S.},
  title = {Constructive notions of strict convexity},
  journal = {Mathematical Logic Quarterly},
  year = {1993},
  volume = {39},
  number = {3},
  pages = {295--300}
}

@InCollection{Bri94a,
  author = {Bridges, Douglas S.},
  title = {A constructive look at the real number line},
  booktitle = {Real numbers, generalizations of the reals, and theories of
  continua},
  year = {1994},
  pages = {29--92},
  publisher = {Kluwer Acad. Publ.},
  address = {Dordrecht}
}

@Article{Bri94b,
  author = {Bridges, Douglas S.},
  title = {The constructive theory of preference relations on a locally compact
  space. {I}{I}},
  journal = {Mathematical Social Sciences},
  year = {1994},
  volume = {27},
  number = {1},
  pages = {1--9}
}

@Article{Bri95,
  author = {Bridges, Douglas S.},
  title = {Constructive mathematics and unbounded operations},
  journal = {J. Philos. Logic},
  year = {1995},
  volume = {24},
  number = {5},
  pages = {549--561}
}

@InProceedings{Bri98,
  author = {Bridges, Douglas S.},
  title = {Bishop's Principle},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch,
  Klaus and Wiedermann, Ji{\v{r}}{\'{\i}}},
  year = {1998},
  month = {August},
  series = {Informatik Berichte},
  volume = {235},
  pages = {17--20},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA Workshop, Brno, Czech Republic, August, 1998}
}

@InCollection{Bri98a,
  author = {Bridges, Douglas S.},
  title = {Constructive truth in practice},
  booktitle = {Truth in mathematics (Mussomeli, 1995)},
  year = {1998},
  pages = {53--69},
  publisher = {Oxford Univ. Press},
  address = {New York}
}

@Article{Bri99,
  author = {Bridges, Douglas S.},
  title = {Constructive mathematics: a foundation for computable analysis},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {219},
  pages = {95--109}
}

@Article{Bri99a,
  author = {Bridges, Douglas S.},
  title = {Can constructive mathematics be applied in physics?},
  journal = {Journal of Philosophical Logic},
  year = {1999},
  volume = {28},
  number = {5},
  pages = {439--453}
}

@InCollection{Bri99b,
  author = {Bridges, Douglas S.},
  title = {Constructive methods in mathematical economics},
  booktitle = {Mathematical utility theory (Essen, 1997)},
  editor = {Herden, Gerhard and Knoche, Norbert and Seidl, Christian and
  Trockel, Walter},
  year = {1999},
  series = {Journal of Economy},
  volume = {Supp. 8},
  pages = {1--21},
  publisher = {Springer},
  address = {Vienna}
}

@InProceedings{Bro07,
  author = {Brodhead, Paul},
  title = {Enumerations of {$\Pi^0_1$} classes: acceptability and decidable
  classes},
  booktitle = {Proceedings of the Third International Conference on
  Computability and Complexity in Analysis},
  editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
  Klaus},
  year = {2007},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {167},
  pages = {289--301},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2006, Gainesville, Florida, USA, November 1--5, 2006}
}

@Article{Bro25,
  author = {Brouwer, L.E.J.},
  title = {Intuitionistischer {B}eweis des {J}ordanschen {K}urvensatzes},
  journal = {Koninklijke Nederl. Akad. Wentensch, Proc.},
  year = {1925},
  volume = {28},
  pages = {503--508},
  note = {translated in: A. Heyting (ed.), Collected Works, Vol. 1, Philosophy
  and Foundations of Mathematics, North-Holland, Amsterdam, 1975, 315--320}
}

@Article{Bro52,
  author = {Brouwer, L.E.J.},
  title = {An intuitionist correction of the fixed-point theorem on the
  sphere},
  journal = {Proc. Roy. Soc. London, Ser. A},
  year = {1952},
  volume = {213},
  pages = {1--2}
}

@Article{Bro54,
  author = {Brouwer, L.E.J.},
  title = {Points and spaces},
  journal = {Canad. Journ. Math.},
  year = {1954},
  volume = {6},
  pages = {1--17}
}

@InProceedings{Bro75,
  author = {Brouwer, L.E.J.},
  title = {The unreliability of logical principles},
  booktitle = {Collected Works, Vol. 1, Philosophy and Foundations of
  Mathematics},
  editor = {Heyting, A.},
  year = {1975},
  pages = {107--111},
  publisher = {North-Holland},
  address = {Amsterdam}
}

@InProceedings{Bro75a,
  author = {Brouwer, L.E.J.},
  title = {Fixed cores which cannot be found, though they are claimed to exist
  by classical theorems},
  booktitle = {Collected Works, Vol. 1, Philosophy and Foundations of
  Mathematics},
  editor = {Heyting, A.},
  year = {1975},
  pages = {516--518},
  publisher = {North-Holland},
  address = {Amsterdam}
}

@Book{Bro75b,
  author = {Brouwer, L.E.J.},
  title = {Collected Works, Vol. 1, Philosophy and Foundations of Mathematics},
  year = {1975},
  publisher = {North-Holland},
  address = {Amsterdam},
  note = {Heyting, A. (ed)}
}

@Book{Bro75c,
  author = {Brouwer, L.E.J.},
  title = {Collected Works, Vol. 2, Geometry, Analysis, Topology and
  Mechanics},
  year = {1976},
  publisher = {North-Holland},
  address = {Amsterdam},
  note = {Freudenthal, H. (ed)}
}

@Book{Bro81,
  author = {Brouwer, L.E.J.},
  title = {Brouwer's Cambridge Lectures on Intuitionism},
  year = {1981},
  publisher = {Cambridge Univ. Press},
  note = {van Dalen, D. (ed)}
}

@InProceedings{Buy00,
  author = {Buy, Dmitry},
  title = {Some Remarks about Fixpoint Theorems},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch,
  Klaus},
  year = {2000},
  month = {September},
  series = {Informatik Berichte},
  volume = {272},
  pages = {43--52},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA 2000 Workshop, Swansea, Wales, September 17--19, 2000}
}

@InProceedings{CCHK99,
  author = {Calude, C. S. and Coles, R. and Hertling, P. H. and Khoussainov,
  B.},
  title = {Degree Theoretic Aspects of Computably Enumerable Reals},
  booktitle = {Models and Computability},
  editor = {S. B. Cooper and J. K. Truss},
  year = {1999},
  series = {London Math.\ Society Lecture Note Series},
  volume = {259},
  pages = {23--39},
  publisher = {Cambridge University Press},
  address = {Cambridge},
  note = {Invited Papers from {L}ogic {C}olloquium 1997, {L}eeds.}
}

@Proceedings{CDGW07,
  title = {Proceedings of the Third International Conference on Computability
  and Complexity in Analysis},
  editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
  Klaus},
  year = {2007},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {167},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2006, Gainesville, Florida, USA, November 1--5, 2006}
}

@InProceedings{CDK08,
  author = {Cenzer, Douglas and Dashti, S. Ali and King, Jonathan L.F.},
  title = {Effective Symbolic Dynamics},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {89--99},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@Article{CDK08a,
  author = {Cenzer, Douglas and Dashti, S. Ali and King, Jonathan L.F.},
  title = {Computable symbolic dynamics},
  journal = {Mathematical Logic Quarterly},
  year = {2008},
  volume = {54},
  number = {5},
  pages = {460--469}
}

@InProceedings{CG00,
  author = {Ciaffaglione, Alberto and Di Gianantonio, Pietro},
  title = {A Co-inductive Approach to Real Numbers},
  booktitle = {Types for Proofs and Programs},
  editor = {Coquand, Thierry and Dybjer, Peter and Nordstr{\"{o}}m, Bengt and
  Smith, Jan},
  year = {2000},
  series = {Lecture Notes in Computer Science},
  volume = {1956},
  pages = {114--130},
  publisher = {Springer},
  address = {Berlin},
  note = {International Workshop, TYPES'99, L{\"{o}}keberg, Sweden, June
  12--16, 1999}
}

@InProceedings{CG02,
  author = {Ciaffaglione, Alberto and Di Gianantonio, Pietro},
  title = {A Tour with Constructive Real Numbers},
  booktitle = {Types for Proofs and Programs},
  editor = {Callaghan, P. and Luo, Z. and McKinna, J. and Pollack, R.},
  year = {2002},
  series = {LNCS},
  volume = {2277},
  pages = {41--52},
  publisher = {Springer},
  address = {Berlin},
  note = {International Workshop, TYPES 2000, Durham, UK, December 8--12,
  2000}
}

@Article{CG06,
  author = {Ciaffaglione, Alberto and Di Gianantonio, Pietro},
  title = {A certified, corecursive implementation of exact real numbers},
  journal = {Theoretical Computer Science},
  year = {2006},
  volume = {351},
  number = {1},
  pages = {39--51}
}

@InProceedings{CG08,
  author = {Collins, Peter and Gra{\c{c}}a, Daniel},
  title = {Effective Computability of Solutions of Ordinary Differential
  Equations The Thousand Monkeys Approach},
  booktitle = {{CCA} 2008, Fifth International Conference on Computability and
  Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  pages = {103--114},
  publisher = {Elsevier},
  note = {CCA 2008, Fifth International Conference, Hagen, Germany, August
  21--24, 2008}
}

@InProceedings{CH07,
  author = {Cenzer, Douglas and Hinman, Peter G.},
  title = {{M}edvedev degrees of generalized r.e. separating classes},
  booktitle = {Proceedings of the Third International Conference on
  Computability and Complexity in Analysis},
  editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
  Klaus},
  year = {2007},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {167},
  pages = {203--223},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2006, Gainesville, Florida, USA, November 1--5, 2006}
}

@Article{CH98,
  author = {Calude, Cristian S. and Hertling, Peter},
  title = {Computable approximations of reals: An information-theoretic
  analysis},
  journal = {Fundamenta Informaticae},
  year = {1998},
  volume = {33},
  number = {2},
  pages = {105--120}
}

@Article{CH99,
  author = {Chadzelek, Thomas and Hotz, G{\"u}nter},
  title = {Analytic machines},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {219},
  pages = {151--167}
}

@Article{CHJW01,
  author = {Calude, C.S. and Hertling, P. and J{\"u}rgensen, H. and Weihrauch,
  K.},
  title = {Randomness on Full Shift Spaces},
  journal = {Chaos, Solitons \& Fractals},
  year = {2001},
  volume = {12},
  number = {3},
  pages = {491--503}
}

@Article{CHK97,
  author = {Calude, Cristian S. and Hertling, Peter and Khoussainov, Bakhadyr},
  title = {Do the Zeros of {R}iemann's {Z}eta-Function Form a Random
  Sequence?},
  journal = {Bulletin of the European Association for Theoretical Computer
  Science},
  year = {1997},
  volume = {62},
  pages = {199--207}
}

@Article{CHKW01,
  author = {Calude, Cristian S. and Hertling, Peter H. and Khoussainov,
  Bakhadyr and Wang, Yongge},
  title = {Recursively enumerable reals and {C}haitin $\Omega$ numbers},
  journal = {Theoretical Computer Science},
  year = {2001},
  volume = {255},
  pages = {125--149}
}

@InProceedings{CHKW98,
  author = {Calude, Cristian S. and Hertling, Peter and Khoussainov, Bakhadyr
  and Yongge Wang},
  title = {Recursively enumerable reals and {C}haitin $\Omega$ numbers},
  booktitle = {STACS'98},
  editor = {Morvan, Michel et al.},
  year = {1998},
  series = {Lecture Notes in Computer Science},
  volume = {1373},
  pages = {596--606},
  publisher = {Springer},
  address = {Berlin},
  note = {15th Annual Symposium on Theoretical Aspects of Computer Science.
  Paris, France, February 25--27, 1998}
}

@InProceedings{CJ94,
  author = {Calude, Cristian and J\"{u}rgensen, Helmut},
  title = {Randomness as an invariant for number representations},
  booktitle = {Results and Trends in Theoretical Computer Science},
  editor = {Maurer, H. and Karhum{\"a}ki, J. and Rozenberg, G.},
  year = {1994},
  pages = {44--66},
  publisher = {Springer},
  address = {Berlin}
}

@Article{CK04,
  author = {Chou, Arthur W. and Ko, Ker-I},
  title = {On the complexity of finding paths in a two-dimensional domain {I}:
  Shortest paths},
  journal = {Mathematical Logic Quarterly},
  year = {2004},
  volume = {50},
  number = {6},
  pages = {551--572}
}

@InProceedings{CK05,
  author = {Chou, Arthur W. and Ko, Ker-I},
  title = {On the complexity of finding paths in a two-dimensional domain {II}:
  Picewise straight-line paths},
  booktitle = {Proceedings of the 6th Workshop on Computability and Complexity
  in Analysis},
  editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
  year = {2005},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {120},
  pages = {45--57},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {6th International Workshop, CCA 2004, Wittenberg, Germany, August
  16--20, 2004}
}

@Article{CK05a,
  author = {Chou, Arthur W. and Ko, Ker-I},
  title = {The computational complexity of distance functions of
  two-dimensional domains},
  journal = {Theoretical Computer Science},
  year = {2005},
  volume = {337},
  pages = {360--369}
}

@Article{CK95,
  author = {Chou, Arthur and Ko, Ker-I},
  title = {Computational complexity of two-dimensional regions},
  journal = {SIAM Journal on Computing},
  year = {1995},
  volume = {24},
  pages = {923--947}
}

@Article{CL06,
  author = {Chernavskya, A.V. and Leksineb, V.P.},
  title = {Unrecognizability of manifolds},
  journal = {Annals of Pure and Applied Logic},
  year = {2006},
  volume = {141},
  number = {3},
  pages = {447--455}
}

@InProceedings{CLM07,
  author = {Costa, Jos\'{e} F\'{e}lix and Loff, Bruno and Mycka, Jerzy},
  title = {The New Promise of Analog Computation},
  booktitle = {Computation and Logic in the Real World},
  editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
  year = {2007},
  series = {Lecture Notes in Computer Science},
  volume = {4497},
  pages = {189--195},
  publisher = {Springer},
  address = {Berlin},
  note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy,
  June 18-23, 2007}
}

@Article{CLW09,
  author = {Cenzer, Douglas and Laforte, Geoffrey and Wu, Guohua},
  title = {Pseudojumps and {$\Pi^0_1$} Classes},
  journal = {Journal of Logic and Computation},
  year = {2009},
  volume = {19},
  number = {1},
  pages = {77--87}
}

@InProceedings{CM01,
  author = {Campagnolo, Manuel Lameiras and Moore, Cristopher},
  title = {Upper and lower bounds on continuous-time computation},
  booktitle = {Unconventional Models of Computation, UMC2'K},
  editor = {Antoniou, I. and Calude, C.S. and Dinneen, M.J.},
  year = {2001},
  series = {Discrete Mathematics and Theoretical Computer Science},
  pages = {135--153},
  publisher = {Springer},
  address = {London},
  note = {Second International Conference, UMC 2000, Brussels, Belgium}
}

@Article{CMC01,
  author = {Campagnolo, Manuel Lameiras and Moore, Cristopher and Costa,
  Jos\'{e} F\'{e}lix},
  title = {Iteration, Inequalities, and Differentiability in Analog Computers},
  journal = {Journal of Complexity},
  year = {2001},
  volume = {16},
  number = {4},
  pages = {642--660}
}

@Article{CMC02,
  author = {Campagnolo, Manuel Lameiras and Moore, Cristopher and Costa,
  Jos\'{e} F\'{e}lix},
  title = {An Analog Characterization of the {G}rzegorczyk Hierarchy},
  journal = {Journal of Complexity},
  year = {2002},
  volume = {18},
  number = {4},
  pages = {977--1000}
}

@InProceedings{CO07,
  author = {Campagnolo, Manuel L. and Ojakian, Kerry},
  title = {The methods of approximation and lifting in real computation},
  booktitle = {Proceedings of the Third International Conference on
  Computability and Complexity in Analysis},
  editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
  Klaus},
  year = {2007},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {167},
  pages = {387--423},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2006, Gainesville, Florida, USA, November 1--5, 2006}
}

@Article{CO08,
  author = {Campagnolo, Manuel L. and Ojakian, Kerry},
  title = {The elementary computable functions over the real numbers: applying
  two new techniques},
  journal = {Archive for Mathematical Logic},
  year = {2008},
  volume = {46},
  number = {7--8},
  pages = {593–-627}
}

@InProceedings{CO08a,
  author = {Campagnolo, Manuel L. and Ojakian, Kerry},
  title = {Characterizing Computable Analysis with Differential Equations},
  booktitle = {{CCA} 2008, Fifth International Conference on Computability and
  Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  pages = {23--35},
  publisher = {Elsevier},
  note = {CCA 2008, Fifth International Conference, Hagen, Germany, August
  21--24, 2008}
}

@Article{CP75,
  author = {Caldwell, J. and Pour-El, Marian Boykan},
  title = {On a simple definition of computable functions of a real variable -
  with applications to functions of a complex variable},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1975},
  volume = {21},
  pages = {1--19}
}

@Article{CR02,
  author = {Cenzer, Douglas and Remmel, Jeffrey B.},
  title = {Effectively closed sets and graphs of computable real functions},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {284},
  number = {2},
  pages = {279--318}
}

@Article{CR03,
  author = {Cenzer, Douglas and Remmel, Jeffrey B.},
  title = {Index sets for $\omega$--languages},
  journal = {Mathematical Logic Quarterly},
  year = {2003},
  volume = {49},
  number = {1},
  pages = {22--33}
}

@InProceedings{CR03a,
  author = {Cenzer, Douglas and Remmel, Jeffrey B.},
  title = {Index sets for computable real functions},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus
  and Zhong, Ning},
  year = {2003},
  month = {August},
  series = {Informatik Berichte},
  volume = {302},
  pages = {164--182},
  publisher = {FernUniversit\"at in Hagen},
  note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30,
  2003}
}

@Article{CR04,
  author = {Cenzer, Douglas and Remmel, Jeffrey B.},
  title = {Index sets for computable differential equations},
  journal = {Mathematical Logic Quarterly},
  year = {2004},
  volume = {50},
  number = {4,5},
  pages = {329--344}
}

@InProceedings{CR08,
  author = {Ciobanu, Gabriel and Rusu, D\u{a}nu\c{t}},
  title = {Supermetrics over Apartness Lattice-Ordered Semigroup},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {191--200},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@Article{CR99,
  author = {Cenzer, Douglas and Remmel, Jeffrey B.},
  title = {Index sets in computable analysis},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {219},
  pages = {111--150}
}

@Article{CS05,
  author = {Calude, Cristian S. and Staiger, Ludwig},
  title = {Generalisations of disjunctive sequences},
  journal = {Mathematical Logic Quarterly},
  year = {2005},
  volume = {51},
  number = {2},
  pages = {120--128}
}

@Article{CS07,
  author = {Cagnard, Benoit and Simonnet, Pierre},
  title = {Automata, {B}orel Functions and Real Numbers in {P}isot Base},
  journal = {Theoretical Informatics and Applications},
  year = {2007},
  volume = {41},
  number = {1},
  pages = {27--44}
}

@InProceedings{CSZ07,
  author = {Chen, Qingliang and Su, Kaile and Zheng, Xizhong},
  title = {Primitive recursiveness of real numbers under different
  representation},
  booktitle = {Proceedings of the Third International Conference on
  Computability and Complexity in Analysis},
  editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
  Klaus},
  year = {2007},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {167},
  pages = {303--324},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2006, Gainesville, Florida, USA, November 1--5, 2006}
}

@Article{CSZ07a,
  author = {Chen, Qingliang and Su, Kaile and Zheng, Xizhong},
  title = {Primitive recursive real numbers},
  journal = {Mathematical Logic Quarterly},
  year = {2007},
  volume = {53},
  number = {4--5},
  pages = {365--380}
}

@Article{CY83,
  author = {Collins, W. and Young, P.},
  title = {Discountinuities of provably correct operators on the provably
  recursive real numbers},
  journal = {The Journal of Symbolic Logic},
  year = {1983},
  volume = {48},
  pages = {913--920}
}

@Article{CZ62,
  author = {Ce{\u{\i}}tin, G.S. and Zaslavski{\u{i}}, I.D.},
  title = {Singular coverings and properties of constructive functions
  connected with them},
  journal = {Tr.\ Mat.\ Inst.\ Steklov},
  year = {1962},
  volume = {67},
  pages = {458--502},
  note = {(Russian)}
}

@Article{CZ70,
  author = {Ce{\u{\i}}tin, G.S. and Zaslavski{\u{i}}, I.D.},
  title = {A criterion of the rectifiability of constructive plane curves},
  journal = {Izv. {A}kad {N}auk {A}rmjan. SSR Ser. Mat.},
  year = {1970},
  volume = {5},
  pages = {434--440},
  note = {(Russian)}
}

@Article{CZ71,
  author = {Ce{\u{\i}}tin, G.S. and Zaslavski{\u{i}}, I.D.},
  title = {Yet another constructive variant of the {C}auchy theorem},
  journal = {{Z}ap. {N}au\v{c}n. {S}em. {L}eningrad. {O}tdel. {M}at. {I}nst.
  {S}teklov ({L}{O}{M}{I})},
  year = {1971},
  volume = {20},
  pages = {36--39,282--283},
  note = {(Russian)}
}

@InProceedings{CZS68,
  author = {Ce{\u{\i}}tin, G.S. and Zaslavski{\u{i}} and \v{S}anin N.A.},
  title = {Peculiarities of constructive mathematical analysis},
  booktitle = {Proc. Internat. Congr. Math.},
  year = {1968},
  pages = {253--261},
  publisher = {Mir},
  address = {Moscow},
  note = {(Moscow, 1966, in Russian)}
}

@Article{Cal02,
  author = {Calude, Cristian S.},
  title = {A characterization of c.e. random reals},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {271},
  pages = {3--14}
}

@Article{Cal02a,
  author = {Calude, Cristian S.},
  title = {Chaitin $\Omega$ numbers, {S}olovay machines, and {G}{\"{o}}del
  incompleteness},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {284},
  number = {2},
  pages = {269--277}
}

@PhdThesis{Cam01,
  author = {Campagnolo, Manuel Lameiras},
  title = {Computational Complexity of Real Valued Recursive Functions and
  Analog Circuits},
  year = {2001},
  school = {Instituto Superior T{\'e}cnico, Universidade T{\'e}cnica de
  Lisboa},
  address = {Lisbon}
}

@InProceedings{Cam02,
  author = {Campagnolo, Manuel Lameiras},
  title = {The Complexity of Real Recursive Functions},
  booktitle = {Unconventional Models of Computation},
  editor = {Calude, C.S. and Dinneen, M.J. and Peper, F.},
  year = {2002},
  series = {Lecture Notes in Computer Science},
  volume = {2509},
  pages = {1--14},
  publisher = {Springer},
  address = {Berlin},
  note = {Third International Conference, UMC 2002, Kobe, Japan, October 15-19,
  2002}
}

@Article{Cei55,
  author = {Ce{\u{\i}}tin, G.S.},
  title = {On a theorem of {C}auchy in constructive analysis},
  journal = {Uspehi Mat.\ Nauk},
  year = {1955},
  volume = {10},
  pages = {207--209},
  note = {(in Russian)}
}

@InProceedings{Cei56,
  author = {Ce{\u{\i}}tin, G.S.},
  title = {Uniform recursiveness of algorithmic operators on general recursive
  functions and a canonical representation for constructive functions of a real
  argument},
  booktitle = {Proc.\ Third All--Union Math.\ Congr., Moscow 1956},
  year = {1956},
  volume = {1},
  pages = {188--189},
  publisher = {Izdat.\ Akad.\ Nauk SSSR},
  address = {Moscow},
  note = {(in Russian)}
}

@Article{Cei59,
  author = {Ce{\u{\i}}tin, G.S.},
  title = {Algorithmic Operators in Constructive Complete Separable Metric
  Spaces},
  journal = {Doklady Akademii Nauk},
  year = {1959},
  volume = {128},
  pages = {49--52},
  note = {(in Russian)}
}

@Article{Cei62,
  author = {Ce{\u{\i}}tin, G.S.},
  title = {Algorithmic Operators in Constructive Metric Spaces},
  journal = {Tr.\ Mat.\ Inst.\ Steklov},
  year = {1962},
  volume = {67},
  pages = {295--361},
  note = {(in Russian, English trans. in AMS Trans. 64, 1967)}
}

@Article{Cei62a,
  author = {Ce{\u{\i}}tin, G.S.},
  title = {Mean value theorems in constructive analysis},
  journal = {Tr.\ Mat.\ Inst.\ Steklov},
  year = {1962},
  volume = {67},
  pages = {362--384},
  note = {(in Russian, English trans. in AMS Trans. 98, 1971)}
}

@Article{Cei64,
  author = {Ce{\u{\i}}tin, G.S.},
  title = {Three theorems on constructive functions},
  journal = {Tr.\ Mat.\ Inst.\ Steklov},
  year = {1964},
  volume = {72},
  pages = {537--543},
  note = {(in Russian, English trans. in AMS Trans. 100, 1972)}
}

@Article{Cei70,
  author = {Ce{\u{\i}}tin, G.S.},
  title = {On upper bounds of recursively enumerable sets of constructive real
  numbers},
  journal = {Tr.\ Mat.\ Inst.\ Steklov},
  year = {1970},
  volume = {113},
  pages = {102--172},
  note = {(in Russian)}
}

@InProceedings{Cen93,
  author = {Cenzer, Douglas},
  title = {Effective real dynamics},
  booktitle = {Logical Methods in Honor of Anil Nerode's Sixtieth Birthday},
  editor = {Crossley, John N. and Remmel, Jefferey B. and Shore, Richard A. and
  Sweedler, Moss E.},
  year = {1993},
  series = {Progress in Computer Science and Applied Logic},
  volume = {12},
  pages = {162--177},
  publisher = {Birkh\"auser},
  address = {Boston}
}

@Article{Cha87a,
  author = {Chaitin, G.J.},
  title = {Incompleteness theorems for random reals},
  journal = {Adv. in Appl. Math.},
  year = {1987},
  volume = {8},
  pages = {119--146}
}

@PhdThesis{Cha98,
  author = {Chadzelek, Thomas},
  title = {Analytische Maschinen},
  year = {1998},
  school = {Technische Fakult\"at der Universit\"at des Saarlandes},
  address = {Saarbr\"ucken}
}

@InProceedings{Cho95,
  author = {Chou, Arthur W.},
  title = {Some complexity issues in complex analysis},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Ko, Ker-I and Weihrauch, Klaus},
  year = {1995},
  month = {September},
  series = {Informatik Berichte},
  volume = {190},
  pages = {91--98},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA Workshop, Hagen, August 19--20, 1995}
}

@Article{Cle69,
  author = {Cleave, J.P.},
  title = {The primitive recursive analysis of ordinary differential equations
  and the complexity of their solutions},
  journal = {Journal of Computer and Systems Sciences},
  year = {1969},
  volume = {3},
  pages = {447--455}
}

@Article{Col05,
  author = {Collins, Pieter},
  title = {Continuity and computability on reachable sets},
  journal = {Theoretical Computer Science},
  year = {2005},
  volume = {341},
  pages = {162--195}
}

@InProceedings{Col07,
  author = {Collins, Pieter},
  title = {Effective Computation for Nonlinear Systems},
  booktitle = {Computation and Logic in the Real World},
  editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
  year = {2007},
  series = {Lecture Notes in Computer Science},
  volume = {4497},
  pages = {169--178},
  publisher = {Springer},
  address = {Berlin},
  note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy,
  June 18-23, 2007}
}

@Article{Col07a,
  author = {Collins, Pieter},
  title = {Optimal Semicomputable Approximations to Reachable and Invariant
  Sets},
  journal = {Theory of Computing Systems},
  year = {2007},
  volume = {41},
  number = {1},
  pages = {33--48}
}

@InProceedings{Col08,
  author = {Collins, Pieter},
  title = {Computability and Representations of the Zero Set},
  booktitle = {{CCA} 2008, Fifth International Conference on Computability and
  Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  pages = {37--43},
  publisher = {Elsevier},
  note = {CCA 2008, Fifth International Conference, Hagen, Germany, August
  21--24, 2008}
}

@Article{Col78,
  author = {Collins, W.},
  title = {Provably recursive real numbers},
  journal = {Notre Dame J. Formal Logic},
  year = {1978},
  volume = {19},
  pages = {513--522}
}

@InProceedings{Coo92,
  author = {Cook, Stephen A.},
  title = {Computability and complexity of higher type functions},
  booktitle = {Logic from computer science},
  editor = {Moschovakis, Y.N.},
  year = {1992},
  series = {Mathematical Sciences Research Institute Publications},
  volume = {21},
  pages = {51--72},
  publisher = {Springer},
  address = {New York},
  note = {Proceedings of the workshop held in Berkeley, California, November
  13--17, 1989}
}

@Article{Coq05,
  author = {Coquand, Thierry},
  title = {Formal Topology and Constructive Mathematics: the {G}elfand and
  {S}tone-{Y}osida Representation Theorems},
  journal = {Journal of Universal Computer Science},
  year = {2005},
  volume = {11},
  number = {12},
  pages = {1932--1944}
}

@Article{Cur03,
  author = {Curi, Giovanni},
  title = {Constructive metrisability in point-free topology},
  journal = {Theoretical Computer Science},
  year = {2003},
  volume = {305},
  pages = {85--109}
}

@InProceedings{DB08,
  author = {Dillhage, Ruth and Brattka, Vasco},
  title = {Computability of the Metric Projection Onto Finite-dimensional
  Linear Subspaces},
  booktitle = {{CCA} 2008, Fifth International Conference on Computability and
  Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  pages = {45--60},
  publisher = {Elsevier},
  note = {CCA 2008, Fifth International Conference, Hagen, Germany, August
  21--24, 2008}
}

@InCollection{DB99,
  author = {Dediu, Lumini{\c{t}}a and Bridges, Douglas},
  title = {Constructive notes on uniform and locally convex spaces},
  booktitle = {Fundamentals of computation theory},
  editor = {Ciobanu, G. and Pun, G.},
  year = {1999},
  series = {Lecture Notes in Computer Science},
  volume = {1684},
  pages = {195--203},
  publisher = {Springer},
  address = {Berlin},
  note = {12th International Symposium, FCT'99, Iasi, Romania, August/September
  1999}
}

@InProceedings{DEMY02,
  author = {Du, Zilin and Eleftheriou, Maria and Moreira, Jos{\'e} E. and Yap,
  Chee},
  title = {Hypergeometric Functions in Exact Geometric Computation},
  booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
  year = {2002},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {66},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {5th International Workshop, CCA 2002, M{\'{a}}laga, Spain, July
  12--13, 2002}
}

@InProceedings{DF87,
  author = {Demuth, Osvald and Filipec, Pavel},
  title = {Differentiation of constructive functions of a real variable and
  relative computability},
  booktitle = {Mathematical Logic and Its Applications},
  editor = {Skordev, D.G.},
  year = {1987},
  pages = {81--106},
  publisher = {Plenum Press},
  address = {New York},
  note = {Proceedings of an advanced international summer school and conference
  in honor of the 80th anniversary of Kurt G\"odel's birth, held September
  24--October 4, 1986 in Druzhba, Bulgaria}
}

@InProceedings{DG02,
  author = {Downey, Rod G. and Griffiths, Evan J.},
  title = {Schnorr Randomness},
  booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
  year = {2002},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {66},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {5th International Workshop, CCA 2002, M{\'{a}}laga, Spain, July
  12--13, 2002}
}

@Article{DGL04,
  author = {Downey, Rod G. and Griffiths, Evan J. and LaForte, Geoffrey L.},
  title = {On {S}chnorr and computable randomness, martingales, and machines},
  journal = {Mathematical Logic Quarterly},
  year = {2004},
  volume = {50},
  number = {6},
  pages = {613--627}
}

@InProceedings{DGS07,
  author = {de Miguel Casado, Gregorio and Garc{\'{\i}}a Chamizo, Juan Manuel
  and Signes Pont, Mar{\'{\i}}a Teresa},
  title = {Algebraic Model of an Arithmetic Unit for {TTE}-Computable
  Normalized Rational Numbers},
  booktitle = {Computation and Logic in the Real World},
  editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
  year = {2007},
  series = {Lecture Notes in Computer Science},
  volume = {4497},
  pages = {218--227},
  publisher = {Springer},
  address = {Berlin},
  note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy,
  June 18-23, 2007}
}

@Proceedings{DGSWZ08,
  title = {Proceedings of the Fourth International Conference on Computability
  and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  address = {Amsterdam},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@InProceedings{DHL01,
  author = {Downey, Rod G. and Hirschfeldt, Denis R. and LaForte, Geoffrey L.},
  title = {Randomness and Reducibility},
  booktitle = {Mathematical Foundations of Computer Science 2001},
  editor = {Sgall, Ji{\v{r}}{\'{\i}} and Pultr, Ale{\v{s}} and Kolman, Petr},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2136},
  pages = {316--327},
  publisher = {Springer},
  address = {Berlin},
  note = {26th International Symposium, MFCS 2001, Mari{\'{a}}nsk{\'{e}}
  L{\'{a}}zn{\v{e}}, Czech Republic, August 27-31, 2001}
}

@InProceedings{DHNS02,
  author = {Downey, Rod G. and Hirschfeldt, Denis R. and Nies, Andr{\'{e}} and
  Stephan, Frank},
  title = {Trivial Reals},
  booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
  year = {2002},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {66},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {5th International Workshop, CCA 2002, M{\'{a}}laga, Spain, July
  12--13, 2002}
}

@InProceedings{DHNS03,
  author = {Downey, Rod G. and Hirschfeldt, Denis R. and Nies, Andr{\'{e}} and
  Stephan, Frank},
  title = {Trivial Reals},
  booktitle = {Proceedings of the 7th and 8th Asian Logic Conferences},
  editor = {Downey, Rod and Decheng, Ding and Ping, Tung Shih and Hui, Qiu Yu
  and Yasugi, Mariko},
  year = {2003},
  pages = {63--102},
  publisher = {World Scientific},
  address = {Singapore},
  note = {7th Conference: Hsi-Tou, Taiwan, June 6--10, 1999; 8th Conference:
  Chongqing, China, August 29 -- September 2, 2002}
}

@InCollection{DK79,
  author = {Demuth, Osvald and Ku{\v{c}}era, A.},
  title = {Remarks on constructive mathematical analysis},
  booktitle = {Logic Colloquium '78 (Mons, 1978)},
  year = {1979},
  pages = {81--129},
  publisher = {North-Holland},
  address = {Amsterdam}
}

@Article{DK80,
  author = {Demuth, Osvald and Km{\'\i}nek, V.},
  title = {Properties of indefinite constructive {L}ebesgue-{S}tieltjes
  integrals ({R}ussian)},
  journal = {Commentationes Mathematicae Universitatis Carolinae},
  year = {1980},
  volume = {21},
  number = {4},
  pages = {629--644}
}

@Article{DK85,
  author = {Downey, Rod and Kalantari, Iraj},
  title = {Effective extensions of linear forms on a recursive vector space
  over a recursive field},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1985},
  volume = {31},
  number = {3},
  pages = {193--200}
}

@Article{DK87,
  author = {Demuth, Osvald and Ku{\v{c}}era, A.},
  title = {Remarks on $1$-genericity, semigenericity and related concepts},
  journal = {Commentationes Mathematicae Universitatis Carolinae},
  year = {1987},
  volume = {28},
  number = {1},
  pages = {85--94}
}

@Article{DK89,
  author = {Du, D. and Ko, Ker-I},
  title = {Computational complexity of integration and differentiation of
  convex functions},
  journal = {System Sci.\ and Math.\ Sci.},
  year = {1989},
  volume = {2},
  pages = {70--79}
}

@Article{DK92,
  author = {Du, D. and Ko, Ker-I},
  title = {A note on best fractions of a computable real number},
  journal = {Journal of Complexity},
  year = {1992},
  volume = {8},
  pages = {216--229}
}

@Article{DKK78,
  author = {Demuth, Osvald and Kryl, R. and Ku{\v{c}}era, A.},
  title = {The use of the theory of functions that are partial recursive
  relative to numerical sets in constructive mathematics ({R}ussian)},
  journal = {Acta Universitatis Carolinae. Mathematica et Physica},
  year = {1978},
  volume = {19},
  number = {1},
  pages = {15--60}
}

@Article{DL02,
  author = {Downey, Rodney G. and LaForte, Geoffrey L.},
  title = {Presentations of computably enumerable reals},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {284},
  number = {2},
  pages = {539--555}
}

@Article{DL09,
  author = {Diener, Hannes and Loeb, Iris},
  title = {Sequences of real functions on $[0,1]$ in constructive reverse
  mathematics},
  journal = {Annals of Pure and Applied Logic},
  year = {2009},
  volume = {157},
  number = {1},
  pages = {1--62}
}

@Article{DMR06,
  author = {Downey, Rodney and Merkle, Wolfgang and Reimann, Jan},
  title = {Schnorr dimension},
  journal = {Mathematical Structures in Computer Science},
  year = {2006},
  volume = {16},
  number = {5},
  pages = {789--811}
}

@Article{DN73,
  author = {Demuth, Osvald and Neme{\v{c}}kova, L.},
  title = {The constructive analogue of the property $({T}\sb{1})$
  ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1973},
  volume = {14},
  pages = {421--439}
}

@InProceedings{DP01,
  author = {Dunlop, Anthony J. and Pour-El, Marian Boykan},
  title = {The Degree of Unsolvability of a Real Number},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {16--29},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@Article{DP79,
  author = {Demuth, Osvald and Polivka, {\u{I}}.},
  title = {The representation of linear functionals in the space of codes of
  constructive functions that are uniformly continuous on the segment
  $0\triangle 1$ ({R}ussian)},
  journal = {Commentationes Mathematicae Universitatis Carolinae},
  year = {1979},
  volume = {20},
  number = {4},
  pages = {765--780}
}

@InProceedings{DSW86,
  author = {Dettki, H.J. and Schuster, H. and Weihrauch, K.},
  title = {Type 2 recursion theory},
  booktitle = {Algebra, Combinatorics and Logic in Computer Science, Vol. 1},
  editor = {Demetrovics, J. and Katona, G. and Salomaa, A.},
  year = {1986},
  series = {Coll. Math. Soc. J\'{a}nos Bolyai},
  volume = {42},
  pages = {355--361},
  note = {Papers from Colloq., Sept. 12--16, 1983, Gy\"or}
}

@Article{DT02,
  author = {Downey, Rod and Terwijn, Sebastiaan},
  title = {Computably Enumerable Reals and Uniformly Presentable Ideals},
  journal = {Mathematical Logic Quarterly},
  year = {2002},
  volume = {48},
  number = {Suppl. 1},
  pages = {29--40}
}

@InProceedings{DWW07,
  author = {Ding, Decheng and Weihrauch, Klaus and Wu, Yongcheng},
  title = {Absolutely non-effective predicates and functions in Computable
  Analysis},
  booktitle = {Theory and Applications of Models of Computation},
  editor = {Cai, Jin-Yi and Cooper, S. Barry and Zhou, Hong},
  year = {2007},
  series = {Lecture Notes in Computer Science},
  volume = {4484},
  pages = {595--604}
}

@Article{DWZ04,
  author = {Downey, Rod and Wu, Guohua and Zheng, Xizhong},
  title = {Degrees of d.c.e. reals},
  journal = {Mathematical Logic Quarterly},
  year = {2004},
  volume = {50},
  number = {4,5},
  pages = {345--350}
}

@Article{Dah04,
  author = {Dahlgren, Fredrik},
  title = {Computability and continuity in metric partial algebras equipped
  with computability structures},
  journal = {Mathematical Logic Quarterly},
  year = {2004},
  volume = {50},
  number = {4,5},
  pages = {486--500}
}

@InProceedings{Dah06,
  author = {Dahlgren, Fredrik},
  title = {Partial Continuous Functions and Admissible Domain Representations},
  booktitle = {Logical Approaches to Computational Barriers},
  editor = {Beckmann, A. and Berger, U. and L{\"o}we, B. and Tucker, J.V.},
  year = {2006},
  series = {Lecture Notes in Computer Science},
  volume = {3988},
  pages = {94--104},
  publisher = {Springer},
  address = {Berlin},
  note = {Second Conference on Computability in Europe, CiE 2006, Swansea, UK,
  June 30-July 5, 2006}
}

@Article{Dal05,
  author = {van Dalen, Dirk},
  title = {How the Mathematical Objects Determine the Mathematical Principles},
  journal = {Journal of Universal Computer Science},
  year = {2005},
  volume = {11},
  number = {12},
  pages = {2132--2141}
}

@InProceedings{Dal73,
  author = {van Dalen, Dirk},
  title = {Lectures on Intuitionism},
  booktitle = {Cambridge Summer School in Mathematical Logic},
  editor = {Mathais, A. R. D. and Rogers, H.},
  year = {1973},
  series = {Lecture Notes in Mathematics},
  pages = {1--94},
  note = {Aug. 1--21, 1971}
}

@Article{Dal78,
  author = {van Dalen, D.},
  title = {An interpretation of intuitionistic analysis},
  journal = {Ann. Math. Logic},
  year = {1978},
  volume = {13},
  pages = {1--43},
  note = {with an appendix by {T}roelstra, A.S.}
}

@PhdThesis{Dei84a,
  author = {Deil, Thomas},
  title = {Darstellungen und {B}erechenbarkeit reeller {Z}ahlen},
  year = {1984},
  school = {Fachbereich Mathematik und Informatik},
  address = {FernUniversit\"{a}t Hagen}
}

@Article{Dem65,
  author = {Demuth, Osvald},
  title = {On {L}ebesgue integration in constructive analysis ({R}ussian)},
  journal = {Dokl. Akad. Nauk SSSR},
  year = {1965},
  volume = {160},
  pages = {1239--1241}
}

@Article{Dem67,
  author = {Demuth, Osvald},
  title = {The {L}ebesgue integral in constructive analysis ({R}ussian)},
  journal = {Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.},
  year = {1967},
  volume = {4},
  pages = {30--43},
  note = {[translation in: A.O. Slisenko (ed.), Studies in constructive
  mathematics and mathematical logic, Part II, Consultants Bureau, New York,
  1970]}
}

@Article{Dem67a,
  author = {Demuth, Osvald},
  title = {A necessary and sufficient condition for the {R}iemann integrability
  of constructive functions},
  journal = {Dokl. Akad. Nauk SSSR},
  year = {1967},
  volume = {176},
  pages = {757--758}
}

@Article{Dem68,
  author = {Demuth, Osvald},
  title = {Fubini's theorem for the {R}iemann integral in constructive
  mathematics. ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1968},
  volume = {9},
  pages = {677--686}
}

@Article{Dem68a,
  author = {Demuth, Osvald},
  title = {The {L}ebesgue integral and the concept of measurability of
  functions in constructive analysis ({R}ussian)},
  journal = {Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.},
  year = {1968},
  volume = {8},
  pages = {21--28},
  note = {[translation in: A.O. Slisenko (ed.), Studies in constructive
  mathematics and mathematical logic, Part II, Consultants Bureau, New York,
  1970]}
}

@Article{Dem68b,
  author = {Demuth, Osvald},
  title = {The connection between {R}iemann and {L}ebesgue integrability of
  constructive functions ({R}ussian)},
  journal = {Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.},
  year = {1968},
  volume = {8},
  pages = {29--31},
  note = {[translation in: A.O. Slisenko (ed.), Studies in constructive
  mathematics and mathematical logic, Part II, Consultants Bureau, New York,
  1970]}
}

@Article{Dem69,
  author = {Demuth, Osvald},
  title = {Note on the paper: ``{F}ubini's theorem for the {R}iemann integral
  in constructive mathematics'' ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1969},
  volume = {10},
  pages = {115--120}
}

@Article{Dem69a,
  author = {Demuth, Osvald},
  title = {The differentiability of constructive functions ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1969},
  volume = {10},
  pages = {167--175}
}

@Article{Dem69b,
  author = {Demuth, Osvald},
  title = {The spaces ${L}\sb{n}$ and ${S}$ in constructive mathematics
  ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1969},
  volume = {10},
  pages = {261--284}
}

@Article{Dem69c,
  author = {Demuth, Osvald},
  title = {Linear functionals in the constructive spaces ${L}\sb{r}$
  ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1969},
  volume = {10},
  pages = {357--390}
}

@Article{Dem69d,
  author = {Demuth, Osvald},
  title = {The representability of constructive functions of weakly bounded
  variation ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1970},
  volume = {11},
  pages = {421--434}
}

@Article{Dem69e,
  author = {Demuth, Osvald},
  title = {The {L}ebesgue measurability of sets in constructive mathematic
  ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1969},
  volume = {10},
  pages = {463--492}
}

@Article{Dem70,
  author = {Demuth, Osvald},
  title = {Mean value theorems for the constructive {L}ebesgue integral
  ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1970},
  volume = {11},
  pages = {249--269}
}

@Article{Dem70a,
  author = {Demuth, Osvald},
  title = {The representability of constructive functions of weakly bounded
  variation ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1970},
  volume = {11},
  pages = {421--434}
}

@Article{Dem70b,
  author = {Demuth, Osvald},
  title = {The integrability of derivatives of constructive functions
  ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1970},
  volume = {11},
  pages = {667--691}
}

@Article{Dem70c,
  author = {Demuth, Osvald},
  title = {Necessary and sufficient conditions for the absolute continuity of
  constructive functions ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1970},
  volume = {11},
  pages = {705--726}
}

@Article{Dem71,
  author = {Demuth, Osvald},
  title = {The superpositions of absolutely continuous constructive functions
  ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1971},
  volume = {12},
  pages = {423--451}
}

@Article{Dem71a,
  author = {Demuth, Osvald},
  title = {A necessary and sufficient condition for the representability of
  constructive functions in the form of the sum of a singular and an absolutely
  continuous function ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1971},
  volume = {12},
  pages = {587--610}
}

@Article{Dem71b,
  author = {Demuth, Osvald},
  title = {A certain condition for the differentiability of constructive
  functions of bounded variation ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1971},
  volume = {12},
  pages = {687--711}
}

@Article{Dem72,
  author = {Demuth, Osvald},
  title = {A necessary and sufficient condition for the representability of
  constructive functions in the form of a superposition of absolutely
  continuous functions ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1972},
  volume = {13},
  pages = {227--251}
}

@Article{Dem72a,
  author = {Demuth, Osvald},
  title = {A sufficient condition for the representability of constructive
  functions in the form of the sum of two superpositions of absolutely
  continuous functions ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1972},
  volume = {13},
  pages = {265--282}
}

@Article{Dem73,
  author = {Demuth, Osvald},
  title = {The representability of uniformly continuous constructive functions
  ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1973},
  volume = {14},
  pages = {7--25}
}

@Article{Dem73a,
  author = {Demuth, Osvald},
  title = {The constructive analogue of the connection between the {L}ebesgue
  measurability of sets and of functions ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1973},
  volume = {14},
  pages = {377--396}
}

@Article{Dem73b,
  author = {Demuth, Osvald and N{\v{e}}me{\v{c}}kov{\'a}, L.},
  title = {The constructive analogues of the properties $({N})$ and $({S})$
  ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1973},
  volume = {14},
  pages = {565--582}
}

@Article{Dem74,
  author = {Demuth, Osvald},
  title = {The representability of constructive functions possessing the
  properties $({\rm {S}})$ and $({\rm {T}}\sb{1})$ in the form of
  superpositions ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1974},
  volume = {15},
  pages = {49--64}
}

@Article{Dem74a,
  author = {Demuth, Osvald},
  title = {The connection between the representability of a constructive
  function in the form of a superposition of two absolutely continuous
  functions and the differentiability of this function ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1974},
  volume = {15},
  pages = {195--210}
}

@Article{Dem75,
  author = {Demuth, Osvald},
  title = {Constructive pseudonumbers ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1975},
  volume = {16},
  pages = {315--331}
}

@Article{Dem75a,
  author = {Demuth, Osvald},
  title = {The differentiability of constructive functions of weakly bounded
  variation on pseudo numbers ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1975},
  volume = {16},
  number = {3},
  pages = {583--599}
}

@Article{Dem76,
  author = {Demuth, Osvald},
  title = {The constructive analogue of the {D}enjoy-{Y}oung theorem on derived
  numbers ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1976},
  volume = {17},
  number = {1},
  pages = {111--126}
}

@Article{Dem76a,
  author = {Demuth, Osvald},
  title = {The domains of definition of effective operators over general
  recursive functions and of constructive functions of a real variable
  ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1976},
  volume = {17},
  number = {4},
  pages = {633--646}
}

@Article{Dem77,
  author = {Demuth, Osvald},
  title = {A constructive analogue of the functions of the $n$th {B}aire class
  ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1977},
  volume = {18},
  number = {2},
  pages = {231--245}
}

@Article{Dem77a,
  author = {Demuth, Osvald},
  title = {A generalization of the constructive {L}ebesgue integral
  ({R}ussian)},
  journal = {Comment. Math. Univ. Carolinae},
  year = {1977},
  volume = {18},
  number = {3},
  pages = {499--514}
}

@Article{Dem78,
  author = {Demuth, Osvald},
  title = {Some questions of the theory of constructive functions of a real
  variable ({R}ussian)},
  journal = {Acta Universitatis Carolinae. Mathematica et Physica},
  year = {1978},
  volume = {19},
  number = {1},
  pages = {61--96}
}

@Article{Dem78a,
  author = {Demuth, Osvald},
  title = {The pseudodifferentiability of uniformly continuous constructive
  functions on constructive real numbers ({R}ussian)},
  journal = {Comment. Math. Univ. Carolin.},
  year = {1978},
  volume = {19},
  number = {2},
  pages = {319--333}
}

@Article{Dem78b,
  author = {Demuth, Osvald},
  title = {Constructive analogues of generalized absolutely continuous
  functions of generalized bounded variation ({R}ussian)},
  journal = {Commentationes Mathematicae Universitatis Carolinae},
  year = {1978},
  volume = {19},
  number = {3},
  pages = {471--487}
}

@Article{Dem79,
  author = {Demuth, Osvald},
  title = {Constructive {D}enjoy integrals ({R}ussian)},
  journal = {Commentationes Mathematicae Universitatis Carolinae},
  year = {1979},
  volume = {20},
  number = {2},
  pages = {213--227}
}

@Article{Dem79a,
  author = {Demuth, Osvald},
  title = {The use of the {R}iemann-{S}tieltjes integral in the theory of the
  constructive {L}ebesgue integral, and its generalizations ({R}ussian)},
  journal = {Commentationes Mathematicae Universitatis Carolinae},
  year = {1979},
  volume = {20},
  number = {4},
  pages = {781--793}
}

@Article{Dem80,
  author = {Demuth, Osvald},
  title = {On the constructive {P}erron integral ({R}ussian)},
  journal = {Acta Universitatis Carolinae. Mathematica et Physica},
  year = {1980},
  volume = {21},
  number = {1},
  pages = {3--57}
}

@Article{Dem80a,
  author = {Demuth, Osvald},
  title = {A constructive analogue of {K}. {M}. {G}arg's theorem on derivative
  numbers ({R}ussian)},
  journal = {Commentationes Mathematicae Universitatis Carolinae},
  year = {1980},
  volume = {21},
  number = {3},
  pages = {457--472}
}

@Article{Dem80b,
  author = {Demuth, Osvald},
  title = {Pseudodifferentiability of constructive functions on constructive
  real numbers ({R}ussian)},
  journal = {Commentationes Mathematicae Universitatis Carolinae},
  year = {1980},
  volume = {21},
  number = {3},
  pages = {489--505}
}

@Article{Dem81,
  author = {Demuth, Osvald},
  title = {On the pseudodifferentiability of uniformly continuous constructive
  functions from functions of the same type ({R}ussian)},
  journal = {Commentationes Mathematicae Universitatis Carolinae},
  year = {1981},
  volume = {22},
  number = {3},
  pages = {497--512}
}

@Article{Dem81a,
  author = {Demuth, Osvald},
  title = {A generalization of a constructive analogue of {K}. {M}. {G}arg's
  theorem ({R}ussian)},
  journal = {Commentationes Mathematicae Universitatis Carolinae},
  year = {1981},
  volume = {22},
  number = {3},
  pages = {607--620}
}

@Article{Dem82,
  author = {Demuth, Osvald},
  title = {Borel types of some classes of arithmetical real numbers
  ({R}ussian)},
  journal = {Commentationes Mathematicae Universitatis Carolinae},
  year = {1982},
  volume = {23},
  number = {3},
  pages = {593--606}
}

@Article{Dem82a,
  author = {Demuth, Osvald},
  title = {Some classes of arithmetical real numbers ({R}ussian)},
  journal = {Commentationes Mathematicae Universitatis Carolinae},
  year = {1982},
  volume = {23},
  number = {3},
  pages = {453--465}
}

@Article{Dem83,
  author = {Demuth, Osvald},
  title = {Arithmetic complexity of differentiation in constructive mathematics
  ({R}ussian)},
  journal = {Commentationes Mathematicae Universitatis Carolinae},
  year = {1983},
  volume = {24},
  number = {2},
  pages = {301--316}
}

@Article{Dem83a,
  author = {Demuth, Osvald},
  title = {On the pseudodifferentiability of pseudo-uniformly continuous
  constructive functions from functions of the same type ({R}ussian)},
  journal = {Commentationes Mathematicae Universitatis Carolinae},
  year = {1983},
  volume = {24},
  number = {3},
  pages = {391--406}
}

@Article{Dem87,
  author = {Demuth, Oswald},
  title = {A notion of semigenericity},
  journal = {Commentationes Mathematicae Universitatis Carolinae},
  year = {1987},
  volume = {28},
  number = {1},
  pages = {71--84}
}

@InProceedings{Dem87a,
  author = {Demuth, Osvald},
  title = {An example of the construction of pseudonumbers by the methods of
  recursion theory},
  booktitle = {Applied mathematics, No. 5 (Russian)},
  editor = {Tonoyan, R.N.},
  year = {1987},
  pages = {55--73, 131--132},
  publisher = {Erevan. Univ.},
  address = {Erevan}
}

@Article{Dem88,
  author = {Demuth, Osvald},
  title = {Reducibilities of sets based on constructive functions of a real
  variable},
  journal = {Commentationes Mathematicae Universitatis Carolinae},
  year = {1988},
  volume = {29},
  number = {1},
  pages = {143--156}
}

@Article{Dem88a,
  author = {Demuth, Osvald},
  title = {Remarks on the structure of tt-degrees based on constructive measure
  theory},
  journal = {Commentationes Mathematicae Universitatis Carolinae},
  year = {1988},
  volume = {29},
  number = {2},
  pages = {233--247}
}

@InProceedings{Dem90,
  author = {Demuth, Osvald},
  title = {Remarks on {D}enjoy sets},
  booktitle = {Mathematical logic},
  year = {1990},
  pages = {267--280},
  publisher = {Plenum},
  address = {New York}
}

@PhdThesis{Det85,
  author = {Dettki, Hans Joachim},
  title = {Untersuchungen zur Darstellungsberechenbarkeit von
  Ordinalzahlfunktionen},
  year = {1985},
  school = {Fachbereich Mathematik und Informatik},
  address = {FernUniversit\"{a}t Hagen}
}

@InProceedings{Dil08,
  author = {Dillhage, Ruth},
  title = {Computability of the Spectrum of Self-Adjoint Operators and the
  Computable Operational Calculus},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {365--384},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@Article{Din65,
  author = {Phan D{\`\i}nh-Di{\^{e}}u},
  title = {Constructive locally convex linear topological spaces ({R}ussian)},
  journal = {Doklady Akademii Nauk},
  year = {1965},
  volume = {162},
  pages = {766--769}
}

@Article{Din66,
  author = {Phan D{\`\i}nh-Di{\^{e}}u},
  title = {The metrizability, normability and multinormability of constructive
  locally convex spaces ({R}ussian)},
  journal = {Doklady Akademii Nauk},
  year = {1965},
  volume = {162},
  pages = {1011--1014}
}

@Article{Din66a,
  author = {Phan D{\`\i}nh-Di{\^{e}}u},
  title = {On conjugates to constructive, locally convex spaces ({R}ussian)},
  journal = {Doklady Akademii Nauk},
  year = {1966},
  volume = {166},
  pages = {45--48}
}

@Article{Din67,
  author = {Phan D{\`\i}nh-Di{\^{e}}u},
  title = {Constructive generalized functions ({R}ussian)},
  journal = {Doklady Akademii Nauk},
  year = {1967},
  volume = {174},
  pages = {37--40}
}

@Article{Din67a,
  author = {Phan D{\`\i}nh-Di{\^{e}}u},
  title = {Certain properties of constructive generalized functions
  ({R}ussian)},
  journal = {Doklady Akademii Nauk},
  year = {1967},
  volume = {174},
  pages = {298--301}
}

@Article{Din67b,
  author = {Phan D{\`\i}nh-Di{\^{e}}u},
  title = {A language for constructive mathematics, connected with systems of
  sets ({R}ussian)},
  journal = {Trudy Mat. Inst. Steklova},
  year = {1967},
  volume = {93},
  pages = {123--141}
}

@Article{Din67c,
  author = {Phan D{\`\i}nh-Di{\^{e}}u},
  title = {Closed and open sets in constructive topological spaces
  ({R}ussian)},
  journal = {Trudy Mat. Inst. Steklova},
  year = {1967},
  volume = {93},
  pages = {250--256}
}

@Article{Din68,
  author = {Phan D{\`\i}nh-Di{\^{e}}u},
  title = {Spaces of constructive infinitely differentiable functions, and
  functionals therein ({R}ussian)},
  journal = {Doklady Akademii Nauk},
  year = {1968},
  volume = {180},
  pages = {799--802}
}

@Book{Din74,
  author = {Phan D{\`\i}nh-Di{\^{e}}u},
  title = {Some questions in constructive functional analysis},
  year = {1974},
  series = {Proceedings of the Steklov Institute of Mathematics},
  volume = {114},
  publisher = {American Mathematical Society},
  address = {Providence}
}

@InProceedings{Dow03,
  author = {Downey, Rodney G.},
  title = {Presentations of reals (Abstract)},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus
  and Zhong, Ning},
  year = {2003},
  month = {August},
  series = {Informatik Berichte},
  volume = {302},
  pages = {11--12},
  publisher = {FernUniversit\"at in Hagen},
  note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30,
  2003}
}

@InProceedings{Dum75,
  author = {Dummett, M.},
  title = {The {P}hilosophical {B}asis of {I}ntuitionistic {L}ogic},
  booktitle = {Logic Colloquium '73},
  editor = {Rose, H.E. and Shepherdson, J.C.},
  year = {1975},
  series = {Stud. Logic. Found. Math.},
  volume = {80},
  pages = {5--40},
  note = {(Bristol 1973)}
}

@Book{Dum77,
  author = {Dummett, M.},
  title = {Elements of {I}ntuitionism},
  year = {1977},
  publisher = {Oxford Univ. Press}
}

@Article{EE01,
  author = {Edalat, Abbas and Escard\'{o}, Mart\'{\i}n H\"otzel},
  title = {Integration in real {PCF}},
  journal = {Information and Computation},
  year = {2001},
  volume = {160},
  pages = {128--166}
}

@Article{EG05,
  author = {Esposti, Mirko Degli and Galatolo, Stefano},
  title = {Recurrence near given sets and the complexity of the
  {C}asati-{P}rosen map},
  journal = {Chaos Solitons Fractals},
  year = {2005},
  volume = {23},
  number = {4},
  pages = {1275--1284}
}

@Article{EH98,
  author = {Edalat, Abbas and Heckmann, Reinhold},
  title = {A computational model for metric spaces},
  journal = {Theoretical Computer Science},
  year = {1998},
  volume = {193},
  pages = {53--73}
}

@InProceedings{EK99,
  author = {Edalat, Abbas and Krznari{\'{c}}, Marko},
  title = {Numerical Integration with Exact Real Arithmetic},
  booktitle = {Automata, Languages and Programming},
  editor = {Wiedermann, Ji{\v{r}}{\'{\i}} and van Emde Boas, Peter and Nielsen,
  Mogens},
  year = {1999},
  series = {Lecture Notes in Computer Science},
  volume = {1644},
  pages = {90--104},
  publisher = {Springer},
  address = {Berlin},
  note = {26th International Colloquium, ICALP'99, Prague, Czech Republic,
  July, 1999}
}

@InProceedings{EKL00,
  author = {Edalat, Abbas and Kashefi, Elham and Lieutier, Andr\'{e}},
  title = {The Convex Hull is Computable!},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch,
  Klaus},
  year = {2000},
  month = {September},
  series = {Informatik Berichte},
  volume = {272},
  pages = {75--77},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA 2000 Workshop, Swansea, Wales, September 17--19, 2000}
}

@InProceedings{EKL05,
  author = {Edalat, Abbas and Khanban, Ali A. and Lieutier, Andr\'{e}},
  title = {Computability in Computational Geometry},
  booktitle = {New Computational Paradigms},
  editor = {Cooper, Barry S. and L{\"o}we, Benedikt and Torenvliet, Leen},
  year = {2005},
  series = {Lecture Notes in Computer Science},
  volume = {3526},
  pages = {117--127},
  publisher = {Springer},
  address = {Berlin},
  note = {First Conference on Computability in Europe, CiE 2005, Amsterdam, The
  Netherlands, June 2005}
}

@InProceedings{EL00,
  author = {Edalat, Abbas and Lieutier, Andr\'{e}},
  title = {Domain of Differentiable Functions},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch,
  Klaus},
  year = {2000},
  month = {September},
  series = {Informatik Berichte},
  volume = {272},
  pages = {79},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA 2000 Workshop, Swansea, Wales, September 17--19, 2000}
}

@Article{EL02,
  author = {Edalat, Abbas and Lieutier, Andr\'{e}},
  title = {Foundation of a computable solid modelling},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {284},
  number = {2},
  pages = {319--345}
}

@Article{EN02,
  author = {Etesi, G{\'a}bor and N{\'e}meti, Istv{\'a}n},
  title = {Non-{T}uring computations via {M}alament-{H}ogarth space-times},
  journal = {International Journal of Theoretical Physics},
  year = {2002},
  volume = {41},
  number = {2},
  pages = {341--370}
}

@InProceedings{EP03,
  author = {Edalat, Abbas and Pattinson, Dirk},
  title = {Initial value problems in domain theory},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus
  and Zhong, Ning},
  year = {2003},
  month = {August},
  series = {Informatik Berichte},
  volume = {302},
  pages = {211--227},
  publisher = {FernUniversit\"at in Hagen},
  note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30,
  2003}
}

@Article{EP07,
  author = {Edalat, Abbas and Pattinson, Dirk},
  title = {A domain-theoretic account of {P}icard's theorem},
  journal = {LMS Journal of Computation and Mathematics},
  year = {2007},
  volume = {10},
  pages = {83--118}
}

@Article{EP97,
  author = {Edalat, Abbas and Potts, Peter John},
  title = {A new representation for exact real numbers},
  journal = {Electronical Notes in Theoretical Computer Science},
  year = {1997},
  volume = {6},
  pages = {14 pp.},
  note = {Mathematical foundations of programming semantics (Pittsburgh, PA,
  1997)}
}

@InProceedings{ER98,
  author = {Edalat, Abbas and Rico, Fabien},
  title = {Root Finding in Exact Real Arithmetic Using Linear Fractional
  Transformations},
  booktitle = {Third Real Numbers and Computers Conference},
  editor = {Chesneaux, J.-M. and J\'{e}z\'{e}quel, F. and Lamotte, J.-L. and
  Vignes, J.},
  year = {1998},
  pages = {27--43},
  publisher = {Universit\'{e} Pierre et Marie Curie, Paris},
  note = {Paris, France, April 27--29, 1998}
}

@Article{ES02,
  author = {Escard\'{o}, Mart\'{\i}n H\"otzel and Streicher, Thomas},
  title = {In Domain Realizability Not All Functionals on $C[-1,1]$ are
  Continuous},
  journal = {Mathematical Logic Quarterly},
  year = {2002},
  volume = {48},
  number = {Suppl. 1},
  pages = {41--44}
}

@Article{ES99,
  author = {Edalat, Abbas and S{\"u}nderhauf, Philipp},
  title = {A domain-theoretic approach to computability on the real line},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {210},
  pages = {73--98}
}

@Article{ES99b,
  author = {Escard\'{o}, Mart\'{\i}n H\"otzel and Streicher, Thomas},
  title = {Induction and recursion on the partial real line with applications
  to Real {PCF}},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {210},
  pages = {121--157}
}

@Article{ES99c,
  author = {Edalat, Abbas and S{\"u}nderhauf, Philipp},
  title = {Computable {B}anach spaces via domain theory},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {219},
  pages = {169--184}
}

@InProceedings{Eda07,
  author = {Edalat, Abbas},
  title = {A Continuous Derivative for Real-Valued Functions},
  booktitle = {Computation and Logic in the Real World},
  editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
  year = {2007},
  series = {Lecture Notes in Computer Science},
  volume = {4497},
  pages = {248--257},
  publisher = {Springer},
  address = {Berlin},
  note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy,
  June 18-23, 2007}
}

@Article{Eda95,
  author = {Edalat, Abbas},
  title = {Domain theory and integration},
  journal = {Theoretical Computer Science},
  year = {1995},
  volume = {151},
  pages = {163--193}
}

@Article{Eda95a,
  author = {Edalat, Abbas},
  title = {Dynamical systems, measures, and fractals via domain theory},
  journal = {Information and Computation},
  year = {1995},
  volume = {120},
  number = {1},
  pages = {32--48}
}

@Article{Eda96,
  author = {Edalat, Abbas},
  title = {Power domains and iterated function systems},
  journal = {Information and Computation},
  year = {1996},
  volume = {124},
  number = {2},
  pages = {182--197}
}

@Article{Eda97,
  author = {Edalat, Abbas},
  title = {Domains for Computation in Mathematics, Physics and Exact Real
  Arithmetic},
  journal = {Bulletin of Symbolic Logic},
  year = {1997},
  volume = {3},
  number = {4},
  pages = {401--452}
}

@Article{Ers72,
  author = {Er{\v{s}}ov, Ju. L.},
  title = {Computable functionals of finite type},
  journal = {Algebra and Logic},
  year = {1972},
  volume = {11},
  number = {4},
  pages = {203--242}
}

@Article{Esc96,
  author = {Escard\'{o}, Mart\'{\i}n H\"otzel},
  title = {{PCF} extended with real numbers},
  journal = {Theoretical Computer Science},
  year = {1996},
  volume = {162},
  pages = {79--115}
}

@PhdThesis{Esc97,
  author = {Escard\'{o}, Mart\'{\i}n H\"otzel},
  title = {{PCF} extended with real numbers: a domain-theoretic approach to
  higher-order exact real number computation},
  year = {1997},
  school = {Imperial College, University of London},
  address = {London, Great Britain}
}

@InProceedings{Esp98,
  author = {Esblin, Henri-Alex},
  title = {Rudimentary computable reals},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch,
  Klaus and Wiedermann, Ji{\v{r}}{\'{\i}}},
  year = {1998},
  month = {August},
  series = {Informatik Berichte},
  volume = {235},
  pages = {21--30},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA Workshop, Brno, Czech Republic, August, 1998}
}

@Article{FF06,
  author = {Ferreira, Fernando and Ferreira, Gilda},
  title = {Counting as integration in feasible analysis},
  journal = {Mathematical Logic Quarterly},
  year = {2006},
  volume = {52},
  number = {3},
  pages = {315--320}
}

@Article{FF08,
  author = {Ferreira, Fernando and Ferreira, Gilda},
  title = {The {R}iemann Integral in Weak Systems of Analysis},
  journal = {Journal of Universal Computer Science},
  year = {2008},
  volume = {14},
  number = {6},
  pages = {908--937}
}

@Article{FO07,
  author = {Ferreira, Fernando and Oliva, Paulo},
  title = {Bounded functional interpretation and feasible analysis},
  journal = {Annals of Pure and Applied Logic},
  year = {2007},
  volume = {145},
  number = {2},
  pages = {115--129}
}

@InProceedings{FS95,
  author = {Freund, Rudolf and Staiger, Ludwig},
  title = {Numbers defined via {T}uring machines},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Ko, Ker-I and Weihrauch, Klaus},
  year = {1995},
  month = {September},
  series = {Informatik Berichte},
  volume = {190},
  pages = {119--124},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA Workshop, Hagen, August 19--20, 1995}
}

@Article{FS96,
  author = {Freund, Rudolf and Staiger, Ludwig},
  title = {Numbers defined by {T}uring machines},
  journal = {Collegium Logicum, Annals of the Kurt-G\"{o}del-Society},
  year = {1996},
  volume = {2},
  pages = {118--137}
}

@Article{FSW06,
  author = {Figueira, Santiago and Stephan, Frank and Wu, Guohua},
  title = {Randomness and universal machines},
  journal = {Journal of Complexity},
  year = {2006},
  volume = {22},
  number = {6},
  pages = {738--751}
}

@Article{Far07,
  author = {Farjudian, Amin},
  title = {{SHRAD}: A Language for Sequential Real Number Computation},
  journal = {Theory of Computing Systems},
  year = {2007},
  volume = {41},
  number = {1},
  pages = {49--105}
}

@Article{Fef64,
  author = {Feferman, S.},
  title = {Systems of predicative analysis},
  journal = {The Journal of Symbolic Logic},
  year = {1964},
  volume = {29},
  pages = {1--30}
}

@InProceedings{Fef77,
  author = {Feferman, S.},
  title = {Theories of finite type related to mathematical practice},
  booktitle = {Handbook of {M}athematical {L}ogic},
  editor = {Barwise, J.},
  year = {1977},
  series = {Studies in Logic and the Foundations of Mathematics},
  volume = {90},
  pages = {913--971},
  publisher = {North-Holland},
  address = {Amsterdam}
}

@InProceedings{Fef79,
  author = {Feferman, S.},
  title = {Constructive Theories of Functions and Classes},
  booktitle = {Proceedings Logic Colloquium '78},
  editor = {Boffa, D., van Dalen and McAloon, K.},
  year = {1979},
  series = {Studies in Logic and the Foundations of Mathematics},
  volume = {97},
  pages = {159--224},
  publisher = {North-Holland},
  address = {Amsterdam},
  note = {Mons, Aug. 24--Sept. 1., 1978}
}

@InProceedings{Fef84,
  author = {Feferman, S.},
  title = {Between constructive and classical mathematics},
  booktitle = {Computation and Proof Theory},
  editor = {Richter, M.M. and B\"orger, E. and Oberschelp, W. and Schinzel, B.
  and Thomas, W.},
  year = {1984},
  series = {Lecture Notes in Mathematics},
  volume = {1104},
  pages = {143--162},
  note = {(Proc. Logic Colloq., Aachen, July 14--23, 1983, Part II)}
}

@Article{Fou00,
  author = {Fouch{\'{e}}, Willem},
  title = {Arithmetical Representation of {B}rownian Motion {I}},
  journal = {The Journal of Symbolic Logic},
  year = {2000},
  volume = {65},
  pages = {421--442}
}

@Article{Fou00a,
  author = {Fouch{\'{e}}, Willem},
  title = {The Descriptive Complexity of {B}rownian Motion},
  journal = {Advances in Mathematics},
  year = {2000},
  volume = {155},
  pages = {317--343}
}

@Article{Fou08,
  author = {Fouch{\'{e}}, Willem},
  title = {Dynamics of a generic {B}rownian motion: Recursive aspects},
  journal = {Theoretical Computer Science},
  year = {2008},
  volume = {394},
  pages = {175--186}
}

@InProceedings{Fou08a,
  author = {Fouch{\'{e}}, Willem},
  title = {An Algorithmic Construction of Quantum Circuits of High Descriptive
  Complexity},
  booktitle = {{CCA} 2008, Fifth International Conference on Computability and
  Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  pages = {61--69},
  publisher = {Elsevier},
  note = {CCA 2008, Fifth International Conference, Hagen, Germany, August
  21--24, 2008}
}

@InProceedings{Fra07,
  author = {Franklin, Johanna N.Y.},
  title = {Schnorr trivial reals: a construction},
  booktitle = {Proceedings of the Third International Conference on
  Computability and Complexity in Analysis},
  editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
  Klaus},
  year = {2007},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {167},
  pages = {79--93},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2006, Gainesville, Florida, USA, November 1--5, 2006}
}

@Article{Fra08,
  author = {Franklin, Johanna N.Y.},
  title = {{S}chnorr trivial reals: a construction},
  journal = {Archive for Mathematical Logic},
  year = {2008},
  volume = {46},
  number = {7--8},
  pages = {665–-678}
}

@Article{Fre83,
  author = {Freund, Rudolf},
  title = {Real Functions and Numbers Defined by {T}uring Machines},
  journal = {Theoretical Computer Science},
  year = {1983},
  volume = {23},
  pages = {287--304}
}

@Article{Fri77,
  author = {Friedman, H.M.},
  title = {Set theoretic foundations for constructive analysis},
  journal = {Ann. of Math.},
  year = {1977},
  series = {2},
  volume = {105},
  pages = {1--28}
}

@Article{Fri84,
  author = {Friedman, Harvey},
  title = {On the computational complexity of maximization and integration},
  journal = {Advances in Mathematics},
  year = {1984},
  volume = {53},
  pages = {80--98}
}

@InProceedings{GBC08,
  author = {Gra\c{c}a, Daniel S. and Boescu, Jorge and Campagnolo, Manuel L.},
  title = {Boundedness of the domain of definition is undecidable for
  polynomial {ODEs}},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {49--57},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@Article{GC03,
  author = {Gra{\c{c}}a, Daniel Silva and Costa, Jos\'{e} F\'{e}lix},
  title = {Analog computers and recursive functions over the reals},
  journal = {Journal of Complexity},
  year = {2003},
  volume = {19},
  number = {5},
  pages = {644--664}
}

@InProceedings{GCB05,
  author = {Gra{\c{c}}a, Daniel Silva and Campagnolo, Manuel L. and Buescu,
  Jorge},
  title = {Robust Simulations of {T}uring Machines with Analytic Maps and
  Flows},
  booktitle = {New Computational Paradigms},
  editor = {Cooper, Barry S. and L{\"o}we, Benedikt and Torenvliet, Leen},
  year = {2005},
  series = {Lecture Notes in Computer Science},
  volume = {3526},
  pages = {169--179},
  publisher = {Springer},
  address = {Berlin},
  note = {First Conference on Computability in Europe, CiE 2005, Amsterdam, The
  Netherlands, June 2005}
}

@InProceedings{GH00,
  author = {G{\"a}rtner, Tobias and Hotz, G{\"u}nter},
  title = {Recursive Analytic Functions of a Complex Variable},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch,
  Klaus},
  year = {2000},
  month = {September},
  series = {Informatik Berichte},
  volume = {272},
  pages = {81--97},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA 2000 Workshop, Swansea, Wales, September 17--19, 2000}
}

@Article{GH60,
  author = {Goodstein, R.L. and Hooley, J.},
  title = {On recursive transcendence},
  journal = {Notre Dame J. Formal Logic},
  year = {1960},
  volume = {1},
  pages = {127--137}
}

@TechReport{GHTW05,
  author = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
  Klaus},
  title = {Computability and Complexity in Analysis},
  year = {2005},
  month = {July},
  number = {326},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen},
  note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan,
  August 25--29, 2005}
}

@Article{GK06,
  author = {Gerhardy, Philipp and Kohlenbach, Ulrich},
  title = {Strongly uniform bounds from semi-constructive proofs},
  journal = {Annals of Pure and Applied Logic},
  year = {2006},
  volume = {141},
  number = {1--2},
  pages = {89--107}
}

@InProceedings{GL01,
  author = {Gowland, Paul and Lester, David},
  title = {A Survey of Exact Arithmetic Implementations},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {30--47},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@InProceedings{GLM06,
  author = {Gu, Xiaoyang and Lutz, Jack H. and Mayordomo, Elvira},
  title = {Points on computable curves},
  booktitle = {47th Annual IEEE Symposium on Foundations of Computer Science},
  year = {2006},
  pages = {469--474},
  publisher = {IEEE Computer Society Press},
  note = {Proceedings of FOCS 2006, Berkeley, CA, October 22--24, 2006}
}

@Article{GM02,
  author = {Gori, Marco and Meer, Klaus},
  title = {A Step towards a Complexity Theory for Analog Systems},
  journal = {Mathematical Logic Quarterly},
  year = {2002},
  volume = {48},
  number = {Suppl. 1},
  pages = {45--58}
}

@InProceedings{GM08,
  author = {Gherardi, Guido and Marcone, Alberto},
  title = {How Incomputable is the Separable {H}ahn-{B}anach Theorem?},
  booktitle = {{CCA} 2008, Fifth International Conference on Computability and
  Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  pages = {85--102},
  publisher = {Elsevier},
  note = {CCA 2008, Fifth International Conference, Hagen, Germany, August
  21--24, 2008}
}

@InProceedings{GM72,
  author = {Goodman, N.D. and Myhill, J.},
  title = {The formalization of {B}ishop's constructive mathematics},
  booktitle = {Toposes, Algebraic Geometry and Logic},
  editor = {Lawvere, F. W.},
  year = {1972},
  series = {Lecture Notes in Mathematics},
  volume = {274},
  pages = {83--96},
  note = {(Partial Report Conf. Connections between Category Theory, Algebraic
  Geometry and Intuitionistic Logic, Dalhousie Univ., Halifax, Nova Scotia,
  Jan. 16--19, 1971)}
}

@InProceedings{GN94,
  author = {Ge, Xiaolin and Nerode, Anil},
  title = {On extreme points of convex compact {T}uring located sets},
  booktitle = {Logical Foundations of Computer Science},
  editor = {Nerode, Anil and Matiyasevich, Yu. V.},
  year = {1994},
  series = {Lecture Notes in Computer Science},
  volume = {813},
  pages = {114--128},
  publisher = {Springer},
  address = {Berlin},
  note = {Third International Symposium, LFCS'94, St. Petersburg, Russia, July
  11--14, 1994}
}

@Article{GN96,
  author = {Ge, Xiaolin and Nerode, Anil},
  title = {Effective content of the calculus of variations {I}: semi-continuity
  and the chattering lemma},
  journal = {Annals of Pure and Applied Logic},
  year = {1996},
  volume = {78},
  pages = {127--146}
}

@Article{GNSW07,
  author = {Geuvers, Herman and Niqui, Milad and Spitters, Bas and Wiedijk,
  Freek},
  title = {Constructive analysis, types and exact real numbers},
  journal = {Mathematical Structures in Computer Science},
  year = {2007},
  volume = {17},
  pages = {3--36}
}

@InProceedings{GR93,
  author = {Ge, Xiaolin and Richards, J. Ian},
  title = {Computability in unitary representations of compact groups},
  booktitle = {Logical Methods in Honor of Anil Nerode's Sixtieth Birthday},
  editor = {Crossley, John N. and Remmel, Jefferey B. and Shore, Richard A. and
  Sweedler, Moss E.},
  year = {1993},
  series = {Progress in Computer Science and Applied Logic},
  volume = {12},
  pages = {386--421},
  publisher = {Birkh\"auser},
  address = {Boston}
}

@Article{GS07,
  author = {Gambino, Nicola and Schuster, Peter},
  title = {Spatiality for formal topologies},
  journal = {Mathematical Structures in Computer Science},
  year = {2007},
  volume = {17},
  pages = {65--80}
}

@Article{GS83,
  author = {Gordon, Dan and Shamir, Eliahu},
  title = {Computation of recursive functionals using minimal initial
  segments},
  journal = {Theoretical Computer Science},
  year = {1983},
  volume = {23},
  pages = {305--315}
}

@Article{GSW07,
  author = {Grubba, Tanja and Schr{\"o}der, Matthias and Weihrauch, Klaus},
  title = {Computable metrization},
  journal = {Mathematical Logic Quarterly},
  year = {2007},
  volume = {53},
  number = {4--5},
  pages = {381--395}
}

@InProceedings{GW05a,
  author = {Grubba, Tanja and Weihrauch, Klaus},
  title = {A computable version of {D}ini's Theorem for topological spaces},
  booktitle = {Computer and Information Sciences - ISCIS 2005},
  editor = {Yolum, Pinar and G{\"u}ng{\"o}r, Tunga and G{\"u}rgen, Fikret and
  {\"O}zturan, Can},
  year = {2005},
  series = {Lecture Notes in Computer Science},
  volume = {3733},
  pages = {927--936},
  publisher = {Springer},
  address = {Berlin},
  note = {20th International Symposium, ISCIS, Istanbul, Turkey, October 2005}
}

@InProceedings{GW07,
  author = {Grubba, Tanja and Weihrauch, Klaus},
  title = {On computable metrization},
  booktitle = {Proceedings of the Third International Conference on
  Computability and Complexity in Analysis},
  editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
  Klaus},
  year = {2007},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {167},
  pages = {345--364},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2006, Gainesville, Florida, USA, November 1--5, 2006}
}

@InProceedings{GWX08,
  author = {Grubba, Tanja and Weihrauch, Klaus and Xu, Yatao},
  title = {Effectivity on Continuous Functions in Topological Spaces},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {237--254},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@Article{GZZ01,
  author = {Gay, William and Zhang, Bing-Yu and Zhong, Ning},
  title = {Computability of Solutions of the {K}orteweg-de {V}ries Equation},
  journal = {Mathematical Logic Quarterly},
  year = {2001},
  volume = {47},
  number = {1},
  pages = {93--110}
}

@Article{Gac05,
  author = {G{\'{a}}cs, Peter},
  title = {Uniform test of algorithmic randomness over a general space},
  journal = {Theoretical Computer Science},
  year = {2005},
  volume = {341},
  pages = {91--137}
}

@Book{Gai64,
  author = {Gaier, D.},
  title = {Konstruktive {M}ethoden der konformen {A}bbildung, {T}racts in
  {N}atural {P}hilosophy},
  year = {1964},
  volume = {3},
  publisher = {Springer},
  address = {Berlin}
}

@Article{Gal00,
  author = {Galatolo, Stefano},
  title = {Orbit computability by computable structures},
  journal = {Nonlinearity},
  year = {2000},
  volume = {13},
  pages = {1531--1546}
}

@Article{Gal03,
  author = {Galatolo, Stefano},
  title = {Complexity, initial condition sensitivity, dimension and weak chaos
  in dynamical systems},
  journal = {Nonlinearity},
  year = {2003},
  volume = {16},
  number = {4},
  pages = {1219--1238}
}

@Article{Gal03a,
  author = {Galatolo, Stefano},
  title = {Global and local complexity in weakly chaotic dynamical systems},
  journal = {Discrete and Continuous Dynamical Systems},
  year = {2003},
  volume = {9},
  number = {6},
  pages = {1607--1624}
}

@Article{Gal99,
  author = {Galatolo, Stefano},
  title = {Pointwise information entropy for metric spaces},
  journal = {Nonlinearity},
  year = {1999},
  volume = {12},
  pages = {1289--1298}
}

@PhdThesis{Ge93,
  author = {Ge, Xiaolin},
  title = {Some Algorithms in {E}uclidean Space and Group Representations},
  year = {1993},
  month = {May},
  type = {Thesis},
  school = {University of Minnesota},
  address = {Minneapolis}
}

@Article{Gel69,
  author = {Gelfond, Michael G.},
  title = {Constructive pseudofunctions ({R}ussian)},
  journal = {Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.},
  year = {1969},
  volume = {16},
  pages = {20--27}
}

@Article{Gel72,
  author = {Gelfond, Michael G.},
  title = {The relation between the classical and constructive versions of the
  construction of mathematical analysis ({R}ussian)},
  journal = {Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.},
  year = {1972},
  volume = {32},
  pages = {5--11}
}

@InProceedings{Gel81,
  author = {Gelfond, Michael G.},
  title = {A class of theorems with valid constructive counterparts},
  booktitle = {Constructive mathematics},
  editor = {Richman, Fred},
  year = {1981},
  series = {Lecture Notes in Mathematics},
  volume = {873},
  pages = {314--320},
  publisher = {Springer},
  address = {Berlin},
  note = {Conference held at the New Mexico State University, Las Cruces, N.M.,
  August 11--15, 1980}
}

@PhdThesis{Ger06,
  author = {Gerhardy, Philipp},
  title = {Applications of Proof Interpretations},
  year = {2006},
  school = {Department of Computer Science, University of Aarhus, Denmark},
  address = {Aarhus}
}

@Article{Ger06a,
  author = {Gerhardy, Philipp},
  title = {A quantitative version of {K}irk's fixed point theorem for
  asymptotic contractions},
  journal = {J. Math. Anal. Appl.},
  year = {2006},
  volume = {316},
  pages = {339--345}
}

@InProceedings{Ghe06,
  author = {Gherardi, Guido},
  title = {An Analysis of the Lemmas of {U}rysohn and {U}rysohn-{T}ietze
  According to Effective {B}orel Measurability},
  booktitle = {Logical Approaches to Computational Barriers},
  editor = {Beckmann, A. and Berger, U. and L{\"o}we, B. and Tucker, J.V.},
  year = {2006},
  series = {Lecture Notes in Computer Science},
  volume = {3988},
  pages = {199--208},
  publisher = {Springer},
  address = {Berlin},
  note = {Second Conference on Computability in Europe, CiE 2006, Swansea, UK,
  June 30-July 5, 2006}
}

@Article{Ghe06a,
  author = {Gherardi, Guido},
  title = {Effective {B}orel degrees of some topological functions},
  journal = {Mathematical Logic Quarterly},
  year = {2006},
  volume = {52},
  number = {6},
  pages = {625--642}
}

@PhdThesis{Ghe06b,
  author = {Gherardi, Guido},
  title = {Some Results in Computable Analysis and Effective {B}orel
  Measurability},
  year = {2006},
  school = {University of Siena, Department of Mathematics and Computer
  Science},
  address = {Siena}
}

@InProceedings{Ghe07,
  author = {Gherardi, Guido},
  title = {Internal Computability},
  booktitle = {Computation and Logic in the Real World},
  editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
  year = {2007},
  series = {Lecture Notes in Computer Science},
  volume = {4497},
  pages = {348--357},
  publisher = {Springer},
  address = {Berlin},
  note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy,
  June 18-23, 2007}
}

@PhdThesis{Gia93,
  author = {Di Gianantonio, Pietro},
  title = {A Functional Approach to Computability on Real Numbers},
  year = {1993},
  month = {June},
  type = {Dottorato di ricerca in informatica},
  school = {Universit\`{a} di Pisa-Genova-Udine},
  address = {Udine}
}

@Article{Gia96,
  author = {Di Gianantonio, Pietro},
  title = {Real number computation and Domain Theory},
  journal = {Information and Computation},
  year = {1996},
  volume = {127},
  pages = {11--25}
}

@Article{Gia99,
  author = {Di Gianantonio, Pietro},
  title = {An abstract data type for real numbers},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {221},
  pages = {295--326}
}

@Article{Gli28,
  author = {Glivenko, V.I.},
  title = {Sur la logique de {M}. {B}rouwer},
  journal = {Roy. Belg. Bull. Cl. Sci.},
  year = {1928},
  series = {5},
  volume = {14},
  pages = {225--228}
}

@Article{Gli29,
  author = {Glivenko, V.I.},
  title = {Sur quelques points de la logique de {M}. {B}rouwer},
  journal = {Roy. Belg. Bull. Cl. Sci.},
  year = {1929},
  series = {5},
  volume = {15},
  pages = {183--188}
}

@Article{Goo49,
  author = {Goodstein, R.L.},
  title = {Missing value theorems},
  journal = {Math. Gaz.},
  year = {1949},
  volume = {33},
  pages = {19--25}
}

@Article{Goo50,
  author = {Goodstein, R.L.},
  title = {Mean value theorems in recursive function theory {I}. {D}ifferential
  mean value theorems},
  journal = {Proc. London Math. Soc.},
  year = {1950},
  volume = {52},
  pages = {81--106}
}

@Article{Goo54,
  author = {Goodstein, R.L.},
  title = {The recursive irrationality of $\pi$},
  journal = {The Journal of Symbolic Logic},
  year = {1954},
  volume = {19},
  pages = {267--274}
}

@Article{Goo56,
  author = {Goodstein, R.L.},
  title = {On non-constructive theorems of analysis and the decision problem},
  journal = {Math. Scand.},
  year = {1956},
  volume = {3},
  pages = {261--263}
}

@InProceedings{Goo59,
  author = {Goodstein, R.L.},
  title = {Recursive analysis},
  booktitle = {Constructivity in Mathematics},
  editor = {Heyting, A.},
  year = {1959},
  series = {Studies in Logic and the Foundations of Mathematics},
  pages = {37--42},
  publisher = {North-Holland},
  address = {Amsterdam},
  note = {Proc. Colloq., Amsterdam, Aug. 26--31, 1957}
}

@Book{Goo61,
  author = {Goodstein, R.L.},
  title = {Recursive Analysis},
  year = {1961},
  series = {Studies in Logic and the Foundations of Mathematics},
  publisher = {North-Holland},
  address = {Amsterdam}
}

@Article{Goo68,
  author = {Goodstein, R.L.},
  title = {Existence in mathematics},
  journal = {Compositio Math.},
  year = {1968},
  volume = {20},
  pages = {70--82}
}

@InProceedings{Goo69,
  author = {Goodstein, R.L.},
  title = {A constructive form for the second {G}auss proof of the fundamental
  theorem of algebra},
  booktitle = {Constructive Aspects of the Fundamental Theorem of Algebra},
  year = {1969},
  pages = {69--76},
  publisher = {Willey-Interscience},
  address = {NY},
  note = {Proc. Sympos. Z\"urich-R\"uschlikon, June 5--7, 1967}
}

@Article{Goo70,
  author = {Goodstein, R.L.},
  title = {Polynomials with computable coefficients},
  journal = {Notre Dame J. Formal Logic},
  year = {1970},
  volume = {11},
  pages = {447--448}
}

@InProceedings{Gra03,
  author = {Gra{\c{c}}a, Daniel Silva},
  title = {Computability via analog circuits},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus
  and Zhong, Ning},
  year = {2003},
  month = {August},
  series = {Informatik Berichte},
  volume = {302},
  pages = {229--240},
  publisher = {FernUniversit\"at in Hagen},
  note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30,
  2003}
}

@Article{Gra04,
  author = {Gra{\c{c}}a, Daniel Silva},
  title = {Some recent developments on {S}hannon's General Purpose Analog
  Computer},
  journal = {Mathematical Logic Quarterly},
  year = {2004},
  volume = {50},
  number = {4,5},
  pages = {473--485}
}

@Article{Grz51,
  author = {Grzegorczyk, Andrzej},
  title = {Undecidability of some topological theories},
  journal = {Fund. Math.},
  year = {1951},
  volume = {38},
  pages = {137--152}
}

@Article{Grz55,
  author = {Grzegorczyk, Andrzej},
  title = {Computable functionals},
  journal = {Fundamenta Mathematicae},
  year = {1955},
  volume = {42},
  pages = {168--202}
}

@Article{Grz55a,
  author = {Grzegorczyk, Andrzej},
  title = {On the definition of computable functionals},
  journal = {Fundamenta Mathematicae},
  year = {1955},
  volume = {42},
  pages = {232--239}
}

@Article{Grz57,
  author = {Grzegorczyk, Andrzej},
  title = {On the definitions of computable real continuous functions},
  journal = {Fundamenta Mathematicae},
  year = {1957},
  volume = {44},
  pages = {61--71}
}

@InProceedings{Grz59,
  author = {Grzegorczyk, Andrzej},
  title = {Some approaches to constructive analysis},
  booktitle = {Constructivity in mathematics},
  editor = {Heyting, A.},
  year = {1959},
  series = {Studies in Logic and the Foundations of Mathematics},
  pages = {43--61},
  publisher = {North-Holland},
  address = {Amsterdam},
  note = {Colloquium at Amsterdam, 1957}
}

@InProceedings{Grz77,
  author = {Grzegorczyk, Andrzej},
  title = {Mathematical and empirical verifiability},
  booktitle = {Twenty-five Years of logic. Methodol. in Poland},
  year = {1977},
  pages = {165--169}
}

@Article{HA01,
  author = {Hirowatari, Eiju and Arikawa, Setsuo},
  title = {A comparison of identification criteria for inductive inference of
  recursive real-valued functions},
  journal = {Theoretical Computer Science},
  year = {2001},
  volume = {268},
  pages = {351--366}
}

@InProceedings{HD01,
  author = {Hur, Namhyun and Davenport, James H.},
  title = {A Generic Root Operation for Exact Real Arithmetic},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {82--87},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@Article{HKL08,
  author = {Hoyrup, Mathieu and Kol\c{c}ak, Arda and Longo, Giuseppe},
  title = {Computability and the morphological complexity of some dynamics on
  continuous domains},
  journal = {Theoretical Computer Science},
  year = {2008},
  volume = {398},
  pages = {170--182}
}

@Article{HKR02,
  author = {Heindl, Gerhard and Kreinovich, Vladik and Rifqi, Maria},
  title = {In Case of Interval (or More General) Uncertainty, No Algorithm Can
  Choose the Simplest Representative},
  journal = {Reliable Computing},
  year = {2002},
  volume = {8},
  pages = {213--227}
}

@InProceedings{HL02,
  author = {Hitchcock, John M. and Lutz, Jack H.},
  title = {Why Computational Complexity Requires Stricter Martingales},
  booktitle = {Automata, Languages and Programming},
  editor = {Widmayer, Peter and Triguero, Francisco and Morales, Rafael and
  Hennessy, Matthew and Eidenbenz, Stephan and Conejo, Ricardo},
  year = {2002},
  series = {Lecture Notes in Computer Science},
  volume = {2380},
  pages = {549--560},
  publisher = {Springer},
  address = {Berlin},
  note = {29th International Colloquium, ICALP, M{\'{a}}laga, Spain, July
  8--13, 2002}
}

@Article{HN06,
  author = {Hughes, Jesse and Niqui, Milad},
  title = {Admissible digit sets},
  journal = {Theoretical Computer Science},
  year = {2006},
  volume = {351},
  number = {1},
  pages = {61--73}
}

@Article{HW03,
  author = {Hertling, Peter and Weihrauch, Klaus},
  title = {Random elements in effective topological spaces with measure},
  journal = {Information and Computation},
  year = {2003},
  volume = {181},
  number = {1},
  pages = {32--56}
}

@InProceedings{HW94,
  author = {Hertling, Peter and Weihrauch, Klaus},
  title = {Levels of degeneracy and exact lower complexity bounds for geometric
  algorithms},
  booktitle = {Proceedings of the Sixth Canadian Conference on Computational
  Geometry},
  year = {1994},
  pages = {237--242},
  organization = {University of Saskatchewan},
  note = {Saskatoon, Saskatchewan, August 2--6, 1994}
}

@TechReport{HW94a,
  author = {Hertling, Peter and Weihrauch, Klaus},
  title = {On the topological classification of degeneracies},
  year = {1994},
  month = {February},
  number = {154},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen}
}

@InProceedings{HW98,
  author = {Hertling, Peter and Weihrauch, Klaus},
  title = {Randomness Spaces},
  booktitle = {Automata, Languages and Programming},
  editor = {Kim G. Larsen and Sven Skyum and Glynn Winskel},
  year = {1998},
  series = {Lecture Notes in Computer Science},
  volume = {1443},
  pages = {796--807},
  publisher = {Springer},
  address = {Berlin},
  note = {25th International Colloquium, ICALP'98, Aalborg, Denmark, July
  1998}
}

@Article{Hau71,
  author = {Hauck, J\"urgen},
  title = {{E}in {K}riterium f\"{u}r die {A}nnahme des {M}aximums in der
  {B}erechenbaren {A}nalysis},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1971},
  volume = {17},
  pages = {193--196}
}

@Article{Hau71a,
  author = {Hauck, J\"urgen},
  title = {{Z}ur {P}r\"{a}zisierung des {B}egriffes berechenbare reelle
  {F}unktion},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1971},
  volume = {17},
  pages = {295--300}
}

@Article{Hau72,
  author = {Hauck, J\"urgen},
  title = {{F}unktional-{R}ekursion},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1972},
  volume = {18},
  pages = {31--36}
}

@Article{Hau72a,
  author = {Hauck, J\"urgen},
  title = {Berechenbare gleichm\"a\ss{}ige {S}tetigkeit in der konstruktiven
  {A}nalysis von {K}laua},
  journal = {Wissenschaftliche Zeitschrift der Humboldt-Universit\"at zu
  Berlin},
  year = {1972},
  volume = {Math.-Nat. R. XXI},
  number = {5},
  pages = {523--526}
}

@Article{Hau72b,
  author = {Hauck, J\"urgen},
  title = {Berechenbare gleichm\"a\ss{}ige {F}initheit rekursiver Funktionale},
  journal = {Wissenschaftliche Zeitschrift der Humboldt-Universit\"at zu
  Berlin},
  year = {1972},
  volume = {Math.-Nat. R. XXI},
  number = {5},
  pages = {527--529}
}

@Article{Hau73,
  author = {Hauck, J\"urgen},
  title = {{B}erechenbare reelle {F}unktionen},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1973},
  volume = {19},
  pages = {121--140}
}

@Article{Hau75,
  author = {Hauck, J\"urgen},
  title = {Turingmaschinen und berechenbare reelle {F}unktionen},
  journal = {Wissenschaftliche Zeitschrift der Humboldt-Universit\"at zu
  Berlin},
  year = {1975},
  volume = {Math.-Nat. R. XXIV},
  number = {6},
  pages = {797--798}
}

@Article{Hau75a,
  author = {Hauck, J\"urgen},
  title = {Iterationsverfahren in der konstruktiven {A}nalysis},
  journal = {Wissenschaftliche Zeitschrift der Humboldt-Universit\"at zu
  Berlin},
  year = {1975},
  volume = {Math.-Nat. R. XXIV},
  number = {6},
  pages = {799--800}
}

@Article{Hau76,
  author = {Hauck, J\"urgen},
  title = {{B}erechenbare reelle {F}unktionenfolgen},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1976},
  volume = {22},
  pages = {265--282}
}

@Article{Hau77,
  author = {Hauck, J\"urgen},
  title = {Zum {Z}wischenwertsatz in der konstruktiven {A}nalysis},
  journal = {Wissenschaftliche Zeitschrift der Humboldt-Universit\"at zu
  Berlin},
  year = {1977},
  volume = {Math.-Nat. R. XXVI},
  number = {5},
  pages = {623--627}
}

@Article{Hau77a,
  author = {Hauck, J\"urgen},
  title = {Rekursive {F}unktionale und der {F}ixpunksatz von {B}anach},
  journal = {Wissenschaftliche Zeitschrift der Humboldt-Universit\"at zu
  Berlin},
  year = {1977},
  volume = {Math.-Nat. R. XXVI},
  number = {5},
  pages = {635--636}
}

@Article{Hau78,
  author = {Hauck, J\"urgen},
  title = {{K}onstruktive {D}arstellungen reeller {Z}ahlen und {F}olgen},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1978},
  volume = {24},
  pages = {365--374}
}

@Article{Hau80,
  author = {Hauck, J\"urgen},
  title = {{S}tetigkeitseigenschaften berechenbarer reeller {F}unktionen},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1980},
  volume = {26},
  pages = {69--76}
}

@Article{Hau80a,
  author = {Hauck, J\"urgen},
  title = {{K}onstruktive {D}arstellungen in topologischen {R}\"{a}umen mit
  rekursiver {B}asis},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1980},
  volume = {26},
  pages = {565--576}
}

@Article{Hau81,
  author = {Hauck, J\"urgen},
  title = {{B}erechenbarkeit in topologischen {R}\"{a}umen mit rekursiver
  {B}asis},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1981},
  volume = {27},
  pages = {473--480}
}

@Article{Hau82,
  author = {Hauck, J\"urgen},
  title = {{S}tetigkeitseigenschaften berechenbarer {F}unktionale},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1982},
  volume = {28},
  pages = {377--383}
}

@Article{Hau83,
  author = {Hauck, J\"urgen},
  title = {Konstruktive reelle {F}unktionale und {O}peratoren},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1983},
  volume = {29},
  pages = {213--218}
}

@Article{Hau84,
  author = {Hauck, J\"urgen},
  title = {{E}ine neue {D}efinition berechenbarer reeller {F}unktionen},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1984},
  volume = {30},
  pages = {259--268}
}

@Article{Hau84a,
  author = {Hauck, J\"urgen},
  title = {{Z}ur {W}ellengleichung mit konstruktiven {R}andbedingungen},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1984},
  volume = {30},
  pages = {561--566}
}

@Article{Hau85,
  author = {Hauck, J\"urgen},
  title = {{E}in {K}riterium f\"{u}r die konstruktive {L}\"{o}sbarkeit der
  {D}ifferentialgleichung $y'=f(x,y)$},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1985},
  volume = {31},
  pages = {357--362}
}

@Article{Hau87,
  author = {Hauck, J\"urgen},
  title = {{E}ine berechenbare {F}unktion mit rationalen {W}erten, die nicht
  rekursiv ist},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1987},
  volume = {33},
  pages = {255--256}
}

@PhdThesis{Hav01,
  author = {Havea, Robin Siale},
  title = {Constructive Spectral and Numerical Range Theory},
  year = {2001},
  school = {Department of Mathematics \& Statistics, University of Canterbury},
  address = {Christchurch}
}

@Article{Hav05,
  author = {Havea, Robin Siale},
  title = {On Firmness of the State Space and Positive Elements of a {B}anach
  Algebra},
  journal = {Journal of Universal Computer Science},
  year = {2005},
  volume = {11},
  number = {12},
  pages = {1963--1969}
}

@Article{Hay06,
  author = {Hayashi, Susumu},
  title = {Mathematics based on incremental learning--Excluded middle and
  inductive inference},
  journal = {Theoretical Computer Science},
  year = {2006},
  volume = {350},
  pages = {125--139}
}

@Article{Hec02,
  author = {Heckmann, Reinhold},
  title = {Contractivity of linear fractional transformations},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {279},
  pages = {65--82}
}

@Article{Hem00a,
  author = {Hemmerling, Armin},
  title = {On the Time Complexity of Partial Real Functions},
  journal = {Journal of Complexity},
  year = {2000},
  volume = {16},
  pages = {363--376}
}

@InProceedings{Hem00b,
  author = {Hemmerling, Armin},
  title = {Berechenbarkeit {\"{u}}ber den reellen {Z}ahlen, der approximative
  und der algebraische {Z}ugang},
  booktitle = {Mathematik-interdisziplin{\"{a}}r},
  editor = {Flachsmeyer, J{\"{u}}rgen and Fritsch, Rudolph and Reichel,
  Hans-Christian},
  year = {2000},
  pages = {167--176},
  publisher = {Shaker Verlag},
  address = {Aachen}
}

@InProceedings{Hem01,
  author = {Hemmerling, Armin},
  title = {Standard Representations of Effective Metric Spaces},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {48--68},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@Article{Hem02,
  author = {Hemmerling, Armin},
  title = {Effective metric spaces and representations of the reals},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {284},
  number = {2},
  pages = {347--372}
}

@Article{Hem03,
  author = {Hemmerling, Armin},
  title = {Approximate decidability in {E}uclidean spaces},
  journal = {Mathematical Logic Quarterly},
  year = {2003},
  volume = {49},
  number = {1},
  pages = {34--56}
}

@Article{Hem03a,
  author = {Hemmerling, Armin},
  title = {The discrete parts of approximately decidable sets in {E}uclidean
  spaces},
  journal = {Mathematical Logic Quarterly},
  year = {2003},
  volume = {49},
  number = {4},
  pages = {428--432}
}

@InProceedings{Hem03b,
  author = {Hemmerling, Armin},
  title = {Characterizations of the class $\Delta_2^{ta}$ over {E}uclidean
  spaces},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus
  and Zhong, Ning},
  year = {2003},
  month = {August},
  series = {Informatik Berichte},
  volume = {302},
  pages = {241--254},
  publisher = {FernUniversit\"at in Hagen},
  note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30,
  2003}
}

@Article{Hem04,
  author = {Hemmerling, Armin},
  title = {Characterizations of the class {$\Delta_2^{ta}$} over {E}uclidean
  spaces},
  journal = {Mathematical Logic Quarterly},
  year = {2004},
  volume = {50},
  number = {4,5},
  pages = {507--519}
}

@InProceedings{Hem05,
  author = {Hemmerling, Armin},
  title = {Hierarchies of Function Classes Defined by the First-Value Operator
  (Extended Abstract)},
  booktitle = {Proceedings of the 6th Workshop on Computability and Complexity
  in Analysis},
  editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
  year = {2005},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {120},
  pages = {59--72},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {6th International Workshop, CCA 2004, Wittenberg, Germany, August
  16--20, 2004}
}

@Article{Hem06,
  author = {Hemmerling, Armin},
  title = {The {H}ausdorff-{E}rshov Hierarchy in {E}uclidean Spaces},
  journal = {Archive for Mathematical Logic},
  year = {2006},
  volume = {45},
  pages = {323--350}
}

@Article{Hem08,
  author = {Hemmerling, Armin},
  title = {Hierarchies of function classes defined by the first-value
  operator},
  journal = {Theoretical Informatics and Applications},
  year = {2008},
  volume = {42},
  number = {2},
  pages = {253--270}
}

@InProceedings{Hem98,
  author = {Hemmerling, Armin},
  title = {On the Time Complexity of Partial Real Functions},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch,
  Klaus and Wiedermann, Ji{\v{r}}{\'{\i}}},
  year = {1998},
  month = {August},
  series = {Informatik Berichte},
  volume = {235},
  pages = {31--40},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA Workshop, Brno, Czech Republic, August, 1998}
}

@Article{Hem99,
  author = {Hemmerling, Armin},
  title = {On Approximative and Algebraic Computability over the Real Numbers},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {219},
  pages = {185--223}
}

@InProceedings{Her01a,
  author = {Hertling, Peter},
  title = {Banach-{M}azur Computable Functions on Metric Spaces},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {69--81},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@TechReport{Her01c,
  author = {Hertling, Peter},
  title = {Random Sets versus Random Sequences},
  year = {2001},
  month = {September},
  number = {288},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen}
}

@InProceedings{Her02b,
  author = {Hertling, Peter},
  title = {A Comparison of Certain Representations of Regularly Closed Sets},
  booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
  year = {2002},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {66},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {5th International Workshop, CCA 2002, M{\'{a}}laga, Spain, July
  12--13, 2002}
}

@InProceedings{Her02c,
  author = {Hertling, Peter},
  title = {A {B}anach-{M}azur Computable But Not {M}arkov Computable Function
  on the Computable Real Numbers},
  booktitle = {Automata, Languages and Programming},
  editor = {Widmayer, Peter and Triguero, Francisco and Morales, Rafael and
  Hennessy, Matthew and Eidenbenz, Stephan and Conejo, Ricardo},
  year = {2002},
  series = {Lecture Notes in Computer Science},
  volume = {2380},
  pages = {962--972},
  publisher = {Springer},
  address = {Berlin},
  note = {29th International Colloquium, ICALP, M{\'{a}}laga, Spain, July
  8--13, 2002}
}

@Article{Her02d,
  author = {Hertling, Peter},
  title = {Topological Complexity of Zero Finding with Algebraic Operations},
  journal = {Journal of Complexity},
  year = {2002},
  volume = {18},
  number = {4},
  pages = {912--942}
}

@InProceedings{Her03a,
  author = {Hertling, Peter},
  title = {Topological complexity of zero finding for continuous functions
  (Abstract)},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus
  and Zhong, Ning},
  year = {2003},
  month = {August},
  series = {Informatik Berichte},
  volume = {302},
  pages = {13},
  publisher = {FernUniversit\"at in Hagen},
  note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30,
  2003}
}

@Article{Her05,
  author = {Hertling, Peter},
  title = {Is the {M}andelbrot set computable?},
  journal = {Mathematical Logic Quarterly},
  year = {2005},
  volume = {51},
  number = {1},
  pages = {5--18}
}

@Article{Her05a,
  author = {Hertling, Peter},
  title = {A {B}anach-{M}azur computable but not {M}arkov computable function
  on the computable real numbers},
  journal = {Annals of Pure and Applied Logic},
  year = {2005},
  volume = {132},
  number = {2-3},
  pages = {227--246}
}

@Article{Her06,
  author = {Hertling, Peter},
  title = {A sequentially computable function that is not effectively
  continuous at any point},
  journal = {Journal of Complexity},
  year = {2006},
  volume = {22},
  number = {6},
  pages = {752--767}
}

@TechReport{Her93,
  author = {Hertling, Peter},
  title = {Topologische {K}omplexit\"atsgrade von {F}unktionen mit endlichem
  {B}ild},
  year = {1993},
  month = {December},
  number = {152},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen}
}

@TechReport{Her93a,
  author = {Hertling, Peter},
  title = {Stetige {R}eduzierbarkeit auf {$\Sigma^\omega$} von {F}unktionen mit
  zweielementigem {B}ild und von zweistetigen {F}unktionen mit diskretem
  {B}ild},
  year = {1993},
  month = {December},
  number = {153},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen}
}

@TechReport{Her95,
  author = {Hertling, Peter},
  title = {Disjunctive $\omega$-words and real numbers},
  year = {1995},
  month = {May},
  number = {180},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen}
}

@Article{Her96b,
  author = {Hertling, Peter},
  title = {Topological complexity with continuous operations},
  journal = {Journal of Complexity},
  year = {1996},
  volume = {12},
  pages = {315--338}
}

@Article{Her96c,
  author = {Hertling, Peter},
  title = {Disjunctive Omega-words und real numbers},
  journal = {Journal of Universal Computer Science},
  year = {1996},
  volume = {2},
  number = {7},
  pages = {549--568}
}

@PhdThesis{Her96d,
  author = {Hertling, Peter},
  title = {{U}nstetigkeitsgrade von {F}unktionen in der effektiven {A}nalysis},
  year = {1996},
  school = {Fachbereich Informatik},
  address = {FernUniversit\"{a}t Hagen}
}

@InProceedings{Her97,
  author = {Hertling, Peter},
  title = {Effectivity and Effective Continuity of Functions between Computable
  Metric Spaces},
  booktitle = {Combinatorics, Complexity, and Logic},
  editor = {Bridges, Douglas S. and Calude, Cristian S. and Gibbons, Jeremy and
  Reeves, Steve and Witten, Ian H.},
  year = {1997},
  series = {Discrete Mathematics and Theoretical Computer Science},
  pages = {264--275},
  publisher = {Springer},
  address = {Singapore},
  note = {Proceedings of DMTCS'96}
}

@TechReport{Her97a,
  author = {Hertling, Peter},
  title = {The Real Number Structure is Effectively Categorical},
  year = {1997},
  month = {September},
  number = {057},
  type = {CDMTCS Research Report Series},
  institution = {University of Auckland},
  address = {Auckland}
}

@Article{Her97f,
  author = {Hertling, Peter},
  title = {Surjective Functions on Computably Growing {C}antor Sets},
  journal = {Journal of Universal Computer Science},
  year = {1997},
  volume = {3},
  number = {11},
  pages = {1226--1240}
}

@Article{Her99,
  author = {Hertling, Peter},
  title = {Standard Representations of Real Numbers},
  journal = {Chaos, Solitons \& Fractals},
  year = {1999},
  volume = {10},
  number = {6},
  pages = {1087--1101}
}

@Article{Her99a,
  author = {Hertling, Peter},
  title = {A Real Number Structure that is Effectively Categorical},
  journal = {Mathematical Logic Quarterly},
  year = {1999},
  volume = {45},
  number = {2},
  pages = {147--182}
}

@Article{Her99b,
  author = {Hertling, Peter},
  title = {An effective {R}iemann {M}apping {T}heorem},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {219},
  pages = {225--265}
}

@Article{Hey51,
  author = {Heyting, A.},
  title = {Note on the {R}iesz-{F}ischer theorem},
  journal = {Indagationes Mathematicae},
  year = {1951},
  volume = {13},
  pages = {35--40}
}

@Book{Hey56,
  author = {Heyting, A.},
  title = {Intuitionism, {A}n {I}ntroduction},
  year = {1956},
  publisher = {North-Holland},
  address = {Amsterdam},
  note = {[2nd. rev. edn., 1966]}
}

@InProceedings{Hit02,
  author = {Hitchcock, John M.},
  title = {Correspondence Principles for Effective Dimensions},
  booktitle = {Automata, Languages and Programming},
  editor = {Widmayer, Peter and Triguero, Francisco and Morales, Rafael and
  Hennessy, Matthew and Eidenbenz, Stephan and Conejo, Ricardo},
  year = {2002},
  series = {Lecture Notes in Computer Science},
  volume = {2380},
  pages = {561--572},
  publisher = {Springer},
  address = {Berlin},
  note = {29th International Colloquium, ICALP, M{\'{a}}laga, Spain, July
  8--13, 2002}
}

@TechReport{Ho94,
  author = {Ho, Chun-Kuen},
  title = {Relatively Recursive Reals and Real Functions},
  year = {1994},
  number = {1994-02},
  type = {Technical Report},
  institution = {University of Chicago, Department of Computer Science}
}

@TechReport{Ho94a,
  author = {Ho, Chun-Kuen},
  title = {Beyond recursive real functions},
  year = {1994},
  number = {1994-06},
  type = {Technical Report},
  institution = {University of Chicago, Department of Computer Science}
}

@Article{Ho96,
  author = {Ho, Chun-Kuen},
  title = {Beyond recursive real functions},
  journal = {Information and Computation},
  year = {1996},
  volume = {124},
  number = {2},
  pages = {113--126}
}

@Article{Ho99,
  author = {Ho, Chun-Kuen},
  title = {Relatively recursive reals and real functions},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {210},
  number = {1},
  pages = {99--120}
}

@Article{Hoe06,
  author = {van der Hoeven, Joris},
  title = {Computations with effective real numbers},
  journal = {Theoretical Computer Science},
  year = {2006},
  volume = {351},
  number = {1},
  pages = {52--60}
}

@InProceedings{Hoe06a,
  author = {van der Hoeven, Joris},
  title = {Effective Real Numbers in {M}mxlib},
  booktitle = {International Conference on Symbolic and Algebraic Computation},
  editor = {Dumas, Jean-Guillaume},
  year = {2006},
  pages = {138--145},
  publisher = {ACM Press},
  note = {Proceedings of the International Symposium on Symbolic and Algebraic
  Computations ISSAC, Genoa, Italy, July 9--12, 2006}
}

@PhdThesis{Hog00,
  author = {Hogarth, Mark L.},
  title = {Predictability, Computability, and Spacetime},
  year = {2000},
  type = {PhD thesis},
  school = {University of Cambridge},
  address = {UK}
}

@PhdThesis{Hoo87,
  author = {Hoover, H. James},
  title = {Feasible Constructive Analysis},
  year = {1987},
  type = {Ph.D. Dissertation},
  school = {Dept.\ of Computer Science, University of Toronto},
  address = {Toronto, Canada}
}

@InProceedings{Hoo89,
  author = {Hoover, H. James},
  title = {Why integration is hard},
  booktitle = {Computers and mathematics},
  editor = {Kaltofen, Erich and Watt, Stephen M.},
  year = {1989},
  pages = {172--181},
  publisher = {Springer},
  note = {Conference held at the Massachusetts Institute of Technology,
  Cambridge, Massachusetts, June 13--17, 1989}
}

@Article{Hoo90,
  author = {Hoover, H. James},
  title = {Feasible real functions and arithmetic circuits},
  journal = {SIAM Journal on Computing},
  year = {1990},
  volume = {19},
  number = {1},
  pages = {182--204}
}

@Article{Hoo91,
  author = {Hoover, H. James},
  title = {Real functions, contraction mappings, and {P}-completeness},
  journal = {Information and Computation},
  year = {1991},
  volume = {93},
  number = {2},
  pages = {333--349}
}

@InProceedings{Hoo93,
  author = {Hoover, H. James},
  title = {Computational models for feasible real analysis},
  booktitle = {Feasible mathematics},
  editor = {Buss, Samuel R. and Scott, Philip J.},
  year = {1993},
  series = {Progress in Computer Science and Applied Logic},
  volume = {9},
  pages = {221--237},
  publisher = {Birkh\"auser},
  note = {Proceedings of the workshop held at Cornell University, Ithaca, New
  York, June 26--28, 1989}
}

@InProceedings{Hou06,
  author = {Hou, Tie},
  title = {Coinductive Proofs for Basic Real Computation},
  booktitle = {Logical Approaches to Computational Barriers},
  editor = {Beckmann, A. and Berger, U. and L{\"o}we, B. and Tucker, J.V.},
  year = {2006},
  series = {Lecture Notes in Computer Science},
  volume = {3988},
  pages = {221--230},
  publisher = {Springer},
  address = {Berlin},
  note = {Second Conference on Computability in Europe, CiE 2006, Swansea, UK,
  June 30-July 5, 2006}
}

@PhdThesis{Hud62,
  author = {Hudes, L.},
  title = {Hyperarithmetical real numbers and hyperarithmetical analysis},
  year = {1962},
  type = {Ph.D. Dissertation},
  school = {Massachusetts Institute of Technology},
  address = {Cambridge, Mass.}
}

@InProceedings{Hyl82,
  author = {Hyland, J.M.E.},
  title = {Application of constructivity},
  booktitle = {Methodology and Philos. Sci. VI},
  editor = {Cohen, L.J. and Lo\'s, G. and Pfeiffer, H. and and Podewski,
  K.-P.},
  year = {1982},
  series = {Studies in Logic and the Foundations of Mathematics},
  volume = {104},
  pages = {145--152},
  publisher = {North-Holland},
  address = {Amsterdam},
  note = {(Proc. 6th. Internatl. Congr. Logic, Methodology, and Philos. Sci.,
  Hannover, Aug. 22--29, 1979)}
}

@Article{IMSV04,
  author = {Ishihara, Hajime and Mines, Ray and Schuster, Peter and
  V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a},
  title = {Quasi-apartness and neighbourhood spaces},
  journal = {Annals of Pure and Applied Logic},
  year = {2006},
  volume = {141},
  number = {1--2},
  pages = {296--306}
}

@Article{IP06,
  author = {Ishihara, Hajime and Palmgren, Erik},
  title = {Quotient topologies in constructive set theory and type theory},
  journal = {Annals of Pure and Applied Logic},
  year = {2006},
  volume = {141},
  number = {1--2},
  pages = {257--265}
}

@Article{IS04,
  author = {Ishihara, Hajime and Schuster, Peter},
  title = {Compactness under constructive scrutiny},
  journal = {Mathematical Logic Quarterly},
  year = {2004},
  volume = {50},
  number = {6},
  pages = {540--550}
}

@Article{Iiz06,
  author = {Iizuka, Shinji},
  title = {Effective continuities on effective topological spaces},
  journal = {Journal of Complexity},
  year = {2006},
  volume = {22},
  number = {6},
  pages = {894--908}
}

@Article{Ils65,
  author = {Ilse, Dieter},
  title = {Zur {S}tetigkeit berechenbarer reeller {F}unktionen},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1965},
  volume = {11},
  pages = {297--342}
}

@Article{Ish00,
  author = {Ishihara, Hajime},
  title = {Feasibly constructive analysis},
  journal = {S\={u}rikaisekikenky\={u}sho K\={o}ky\={u}roku},
  year = {2000},
  volume = {1169},
  pages = {76--83},
  note = {Research Institute for Mathematical Sciences Kyoto}
}

@Article{Ish01,
  author = {Ishihara, Hajime},
  title = {Locating subsets of a Hilbert space},
  journal = {Proc. Amer. Math. Soc.},
  year = {2001},
  volume = {129},
  pages = {1385--1390}
}

@InProceedings{Ish01a,
  author = {Ishihara, Hajime},
  title = {Sequentially Continuity in Constructive Mathematics},
  booktitle = {Combinatorics, Computability and Logic},
  editor = {Calude, C.S. and Dinneen, M.J. and Sburlan, S.},
  year = {2001},
  series = {Discrete Mathematics and Theoretical Computer Science},
  pages = {5--12},
  publisher = {Springer},
  address = {London},
  note = {Proceedings of DMTCS 2001}
}

@InCollection{Ish05,
  author = {Ishihara, Hajime},
  title = {Constructive reverse mathematics: compactness properties},
  booktitle = {From Sets and Types to Topology and Analysis: Towards
  Practicable Foundations for Constructive Mathematics},
  editor = {Crosilla, Laura and Schuster, Peter},
  year = {2005},
  pages = {245--267},
  publisher = {Oxford University Press}
}

@InProceedings{Ish07,
  author = {Ishihara, Hajime},
  title = {Unique Existence and Computability in Constructive Reverse
  Mathematics},
  booktitle = {Computation and Logic in the Real World},
  editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
  year = {2007},
  series = {Lecture Notes in Computer Science},
  volume = {4497},
  pages = {368--377},
  publisher = {Springer},
  address = {Berlin},
  note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy,
  June 18-23, 2007}
}

@Article{Ish88,
  author = {Ishihara, Hajime},
  title = {Constructive reflexivity of a uniformly convex {B}anach space},
  journal = {Proc. Amer. Math. Soc.},
  year = {1988},
  volume = {104},
  number = {3},
  pages = {735--740}
}

@Article{Ish89,
  author = {Ishihara, Hajime},
  title = {On the constructive {H}ahn-{B}anach theorem},
  journal = {Bull. London Math. Soc.},
  year = {1989},
  volume = {21},
  number = {1},
  pages = {79--81}
}

@Article{Ish89a,
  author = {Ishihara, Hajime},
  title = {Constructive compact linear mappings},
  journal = {Bull. London Math. Soc.},
  year = {1989},
  volume = {21},
  pages = {577--584}
}

@Article{Ish90,
  author = {Ishihara, Hajime},
  title = {An omniscience principle, the {K}{\"{o}}nig lemma and the
  {H}ahn-{B}anach theorem},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1990},
  volume = {36},
  pages = {237--240}
}

@PhdThesis{Ish90a,
  author = {Ishihara, Hajime},
  title = {Boundedness, normability and compactness of constructive linear
  mappings},
  year = {1990},
  month = {mar},
  type = {Dissertation},
  school = {Tokyo Institute of Technology},
  address = {Tokyo}
}

@Article{Ish91,
  author = {Ishihara, Hajime},
  title = {Constructive compact operators on a {H}ilbert space},
  journal = {Annals of Pure and Applied Logic},
  year = {1991},
  volume = {52},
  pages = {31--37}
}

@Article{Ish91a,
  author = {Ishihara, Hajime},
  title = {Continuity and nondiscontinuity in constructive mathematics},
  journal = {The Journal of Symbolic Logic},
  year = {1991},
  volume = {56},
  number = {4},
  pages = {1349--1354}
}

@Article{Ish92,
  author = {Ishihara, Hajime},
  title = {Continuity properties in constructive mathematics},
  journal = {The Journal of Symbolic Logic},
  year = {1992},
  volume = {57},
  number = {2},
  pages = {557--565}
}

@Article{Ish92a,
  author = {Ishihara, Hajime},
  title = {Constructive existence of {M}inkowski functionals},
  journal = {Proc. Amer. Math. Soc.},
  year = {1992},
  volume = {116},
  number = {1},
  pages = {79--84}
}

@Article{Ish93,
  author = {Ishihara, Hajime},
  title = {{M}arkov's principle, {C}hurch's thesis and {L}indel{\"{o}}f's
  theorem},
  journal = {Indagations Math.},
  year = {1993},
  volume = {4},
  pages = {321--325}
}

@Article{Ish94,
  author = {Ishihara, Hajime},
  title = {A constructive version of {B}anach's inverse mapping theorem},
  journal = {New Zealand J. Math.},
  year = {1994},
  volume = {23},
  pages = {71--75}
}

@Article{Ish97,
  author = {Ishihara, Hajime},
  title = {Sequential continuity of linear mappings in constructive
  mathematics},
  journal = {Journal of Universal Computer Science},
  year = {1997},
  volume = {3},
  pages = {1250--1254}
}

@Article{JES06,
  author = {De Jaeger, Fr{\'{e}}d{\'{e}}ric and Escard{\'{o}}, Mart{\'{\i}}n
  and Santini, Gabriele},
  title = {On the computational content of the {L}awson topology},
  journal = {Theoretical Computer Science},
  year = {2006},
  volume = {357},
  number = {1--3},
  pages = {230--240}
}

@Article{JWZ07,
  author = {Jiang, Wei and Wang, Yuan and Zucker, Jeffery},
  title = {Universality and semicomputability for nondeterministic programming
  languages over abstract algebras},
  journal = {The Journal of Logic and Algebraic Programming},
  year = {2007},
  volume = {71},
  number = {1},
  pages = {44--78}
}

@InProceedings{KEL02,
  author = {Khanban, Ali Asghar and Edalat, Abbas and Lieutier, Andr{\'e}},
  title = {Computability of {D}elaunay Triangulation and {V}oronoi Diagram},
  booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
  year = {2002},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {66},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {5th International Workshop, CCA 2002, M{\'{a}}laga, Spain, July
  12--13, 2002}
}

@Article{KF82,
  author = {Ko, Ker-I and Friedman, H.},
  title = {Computational complexity of real functions},
  journal = {Theoretical Computer Science},
  year = {1982},
  volume = {20},
  pages = {323--352}
}

@Article{KF88,
  author = {Ko, Ker-I and Friedman, H.},
  title = {Computing power series in polynomial time},
  journal = {Advances in Applied Math.},
  year = {1988},
  volume = {9},
  pages = {40--50}
}

@InProceedings{KK01,
  author = {Korovina, Margarita V. and Kudinov, Oleg V.},
  title = {Formalisation of Computability of Operators and Real-Valued
  Functionals via Domain Theory},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {146--168},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@InProceedings{KK01a,
  author = {Korovina, Margarita V. and Kudinov, Oleg V.},
  title = {Semantic Characterisations of Second-Order Computability over the
  Real Numbers},
  booktitle = {Computer Science Logic},
  editor = {Fribourg, Laurent},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2142},
  pages = {160--172},
  publisher = {Springer},
  address = {Berlin},
  note = {15th International Workshop, CSL 2001, 10th Annual Conference of the
  EACSL, Paris, France, September 10--13, 2001}
}

@InProceedings{KK05,
  author = {Korovina, Margarita and Kudinov, Oleg},
  title = {Towards Computability of Higher Type Continuous Data},
  booktitle = {New Computational Paradigms},
  editor = {Cooper, Barry S. and L{\"o}we, Benedikt and Torenvliet, Leen},
  year = {2005},
  series = {Lecture Notes in Computer Science},
  volume = {3526},
  pages = {235--241},
  publisher = {Springer},
  address = {Berlin},
  note = {First Conference on Computability in Europe, CiE 2005, Amsterdam, The
  Netherlands, June 2005}
}

@InProceedings{KK07,
  author = {Korovina, Margarita and Kudinov, Oleg},
  title = {The Uniformity Principle for {$\Sigma$}-Definability with
  Applications to Computable Analysis},
  booktitle = {Computation and Logic in the Real World},
  editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
  year = {2007},
  series = {Lecture Notes in Computer Science},
  volume = {4497},
  pages = {416--425},
  publisher = {Springer},
  address = {Berlin},
  note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy,
  June 18-23, 2007}
}

@InProceedings{KK08,
  author = {Korovina, Margarita and Kudinov, Oleg},
  title = {Towards Computability over Effectively Enumerable Topological
  Spaces},
  booktitle = {{CCA} 2008, Fifth International Conference on Computability and
  Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  pages = {115--125},
  publisher = {Elsevier},
  note = {CCA 2008, Fifth International Conference, Hagen, Germany, August
  21--24, 2008}
}

@Article{KK09,
  author = {Korovina, Margarita and Kudinov, Oleg},
  title = {The Uniformity Principle for {$\Sigma$}-Definability},
  journal = {Journal of Logic and Computation},
  year = {2009},
  volume = {19},
  number = {1},
  pages = {159--174}
}

@InProceedings{KK76,
  author = {Kanovi\v{c}, M.I. and Ku\v{s}ner, B.A.},
  title = {Complexity of algorithms, and {S}pecker sequences},
  booktitle = {Studies in the {T}heory of {A}lgorithms and {M}athematical
  {L}ogic},
  year = {1976},
  volume = {Vol. 2},
  pages = {77--63,160},
  publisher = {Vy\v{c}isl. Centr. Akad. Nauk SSSR},
  note = {(in Russian)}
}

@Article{KK78,
  author = {Ku\v{c}era , A. and and Ku\v{s}ner, B.},
  title = {A type of recursive isomorphism of certain concepts of constructive
  analysis ({R}ussian)},
  journal = {Comment. Math. Univ. Carolin{\ae}},
  year = {1978},
  volume = {19},
  pages = {97--105}
}

@InProceedings{KK98,
  author = {Korovina, M.V. and Kudinov, O.V.},
  title = {Majorant-computability and definability over the reals},
  booktitle = {Third Real Numbers and Computers Conference},
  editor = {Chesneaux, J.-M. and J\'{e}z\'{e}quel, F. and Lamotte, J.-L. and
  Vignes, J.},
  year = {1998},
  pages = {61--80},
  publisher = {Universit\'{e} Pierre et Marie Curie, Paris},
  note = {Paris, France, April 27--29, 1998}
}

@Article{KK98a,
  author = {Korovina, M.V. and Kudinov, O.V.},
  title = {A new approach to computability over the reals},
  journal = {Siberian Advances in Mathematics},
  year = {1998},
  volume = {8},
  number = {3},
  pages = {59--73}
}

@Article{KK99,
  author = {Kamo, Hiroyasu and Kawamura, Kiko},
  title = {Computability of Self-Similar Sets},
  journal = {Mathematical Logic Quarterly},
  year = {1999},
  volume = {45},
  pages = {23--30}
}

@InProceedings{KK99a,
  author = {Korovina, M.V. and Kudinov, O.V.},
  title = {Some properties of majorant-computability},
  booktitle = {Recursion Theory and Complexity},
  editor = {Arslanov, Marat M. and Lempp, Steffen},
  year = {1999},
  series = {Logic and Its Applications},
  volume = {2},
  pages = {97--114},
  publisher = {de Gruyter},
  address = {Berlin},
  note = {Proceedings of the Kazan Workshop, Kazan, Russia, July 14--19, 1997}
}

@InProceedings{KK99b,
  author = {Korovina, M.V. and Kudinov, O.V.},
  title = {Characteristic properties of majorant-computability over the reals},
  booktitle = {Computer Science Logic},
  editor = {Gottlob, Georg and Grandjean, Etienne and Seyr, Katrin},
  year = {1999},
  series = {Lecture Notes in Computer Science},
  volume = {1584},
  pages = {188--203},
  publisher = {Springer},
  address = {Berlin},
  note = {Proceedings of the 12th International Workshop (CSL '98) (7th Annual
  Conference of the European Association for Computer Science Logic (EACSL))
  held in Brno, August 24--28, 1998}
}

@Article{KKT01,
  author = {Kamo, Hiroyasu and Kawamura, Kiko and Takeuti, Izumi},
  title = {Computational complexity of fractal sets},
  journal = {Real Analysis Exchange},
  year = {2000/01},
  volume = {26},
  number = {2},
  pages = {773--793}
}

@InProceedings{KKT98,
  author = {Kamo, Hiroyasu and Kawamura, Kiko and Takeuti, Izumi},
  title = {Hausdorff Dimension and Computational Complexity},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch,
  Klaus and Wiedermann, Ji{\v{r}}{\'{\i}}},
  year = {1998},
  month = {August},
  series = {Informatik Berichte},
  volume = {235},
  pages = {41--50},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA Workshop, Brno, Czech Republic, August, 1998}
}

@Article{KL03,
  author = {Kohlenbach, Ulrich and Leu{\c{s}}tean, Lauren{\c{t}}iu},
  title = {Mann iterates of directionally nonexpansive mappings in hyperbolic
  spaces},
  journal = {Abstract and Applied Analysis},
  year = {2003},
  volume = {2003},
  number = {8},
  pages = {449--477}
}

@InProceedings{KL03a,
  author = {Kreinovich, Vladik and Longpr\'{e}, Luc},
  title = {Computational complexity and feasibility of data processing and
  interval computations, with extension to cases when we have partial
  information about probabilities},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus
  and Zhong, Ning},
  year = {2003},
  month = {August},
  series = {Informatik Berichte},
  volume = {302},
  pages = {19--54},
  publisher = {FernUniversit\"at in Hagen},
  note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30,
  2003}
}

@Article{KL04,
  author = {Kreinovich, Vladik and Longpr\'{e}, Luc},
  title = {Fast quantum algorithms for handling probabilistic and interval
  uncertainty},
  journal = {Mathematical Logic Quarterly},
  year = {2004},
  volume = {50},
  number = {4,5},
  pages = {405--416}
}

@InProceedings{KL04a,
  author = {Kohlenbach, Ulrich and Lambov, Branimir},
  title = {Bounds on iterations of asymptotically quasi-nonexpansive mappings},
  booktitle = {Proceedings of the International Conference on Fixed Point
  Theory and Applications},
  editor = {Falset, J.G. and Fuster, E.L. and Sims, B.},
  year = {2004},
  pages = {143--172},
  publisher = {Yokohama Publishers},
  note = {Valencia 2003}
}

@Article{KL07,
  author = {Kohlenbach, Ulrich and Leu{\c{s}}tean, Lauren{\c{t}}iu},
  title = {The approximate fixed point property in product spaces},
  journal = {Nonlinear Analysis},
  year = {2007},
  volume = {66},
  pages = {806--818}
}

@Article{KL57,
  author = {Kreisel, Georg and Lacombe, Daniel},
  title = {Ensembles r\'{e}cursivement mesurables et ensembles
  r\'{e}cursivement ouverts et ferm\'{e}s},
  journal = {Comptes Rendus Acad\'{e}mie des Sciences Paris},
  year = {1957},
  volume = {245},
  pages = {1106--1109}
}

@Article{KL82,
  author = {Kalantari, I. and Leggett, A.},
  title = {Simplicity in effective topology},
  journal = {The Journal of Symbolic Logic},
  year = {1982},
  volume = {47},
  pages = {169--183}
}

@Article{KL83,
  author = {Kalantari, I. and Leggett, A.},
  title = {Maximality in effective topology},
  journal = {The Journal of Symbolic Logic},
  year = {1983},
  volume = {48},
  pages = {100--112}
}

@Article{KLL99,
  author = {Khalouani, Mohamed and Labhalla, Salah and Lombardi, Henri},
  title = {Etude constructive de problemes de topologie pour les reels
  irrationnels.},
  journal = {Mathematical Logic Quarterly},
  year = {1999},
  volume = {45},
  number = {2},
  pages = {257--288}
}

@Article{KLS57,
  author = {Kreisel, G. and Lacombe, D. and Shoenfield, J.R.},
  title = {Fonctionnelles r\'ecursivement d\'efinissables et fonctionnelles
  r\'ecursives},
  journal = {C.R. Acad. Sci. Paris},
  year = {1957},
  volume = {245},
  pages = {399--402}
}

@InProceedings{KLS59,
  author = {Kreisel, G. and Lacombe, D. and Shoenfield, J.R.},
  title = {Partial recursive functionals and effective operations},
  booktitle = {Constructivity in Mathematics},
  editor = {Heyting, A.},
  year = {1959},
  series = {Studies in Logic and the Foundations of Mathematics},
  pages = {290--297},
  publisher = {North-Holland},
  address = {Amsterdam},
  note = {Proc. Colloq., Amsterdam, Aug. 26--31, 1957}
}

@InProceedings{KM82,
  author = {Kreisel, G. and Macintyre, A.},
  title = {Constructive logic versus algebraization, {I}},
  booktitle = {The L. E. J. Brouwer Centenary Sympos.},
  editor = {Troelstra, A.S. and van Dalen, D.},
  year = {1982},
  series = {Studies in Logic and the Foundations of Mathematics},
  volume = {110},
  pages = {217--260},
  publisher = {North-Holland},
  address = {Amsterdam},
  note = {(Noordwijkerhout, June 8--13, 1981)}
}

@Article{KM99,
  author = {Koiran, Pascal and Moore, Christopher},
  title = {Closed-form analytic maps in one and two dimensions can simulate
  universal {T}uring machines},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {219},
  pages = {217--223}
}

@TechReport{KMW96,
  author = {Ko, Ker-I and M\"uller, Norbert and Weihrauch, Klaus},
  title = {Computability and Complexity in Analysis},
  year = {1996},
  number = {96--44},
  type = {Forschungsbericht Mathematik/Informatik},
  institution = {Universit\"at Trier},
  address = {Trier},
  note = {Second CCA Workshop, Trier, August 22--23, 1996}
}

@TechReport{KNPWW98,
  author = {Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch,
  Klaus and Wiedermann, Ji{\v{r}}{\'{\i}}},
  title = {Computability and Complexity in Analysis},
  year = {1998},
  month = {August},
  number = {235},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen},
  note = {Proceedings of the CCA Workshop, Brno, Czech Republic, August, 1998}
}

@InProceedings{KNS03,
  author = {Kjos-Hanssen, Bj{\o}rn and Nies, Andr\'{e} and Stephan, Frank},
  title = {On a question of {A}mbos-{S}pies and {K}u\v{c}era},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus
  and Zhong, Ning},
  year = {2003},
  month = {August},
  series = {Informatik Berichte},
  volume = {302},
  pages = {275--278},
  publisher = {FernUniversit\"at in Hagen},
  note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30,
  2003}
}

@Proceedings{KNW02,
  title = {Computability and Complexity in Analysis},
  editor = {Ko, Ker-I and Nerode, Anil and Weihrauch, Klaus},
  year = {2002},
  series = {Theoretical Computer Science},
  volume = {284(2)},
  publisher = {Elsevier},
  address = {Amsterdam}
}

@Article{KO03,
  author = {Kohlenbach, Ulrich and Oliva, Paulo},
  title = {Proof mining in $L_1$-approximation},
  journal = {Annals of Pure and Applied Logic},
  year = {2003},
  volume = {121},
  pages = {1--38}
}

@Article{KP57,
  author = {Kreisel, G. and Putnam, H.},
  title = {Eine {U}nableitbarkeitsbeweismethode f\"ur den intuitionistischen
  {A}ussagenkalk\"ul},
  journal = {Arch. Math. Logic Grundlag},
  year = {1957},
  volume = {3},
  pages = {74--78}
}

@Article{KR79,
  author = {Kalantari, I. and Retzlaff, A.},
  title = {Recursive constructions in topological spaces},
  journal = {The Journal of Symbolic Logic},
  year = {1979},
  volume = {44},
  pages = {609--625}
}

@Article{KR83,
  author = {Kalantari, I. and Remmel, J.B.},
  title = {Degrees of recursively enumerable topological spaces},
  journal = {The Journal of Symbolic Logic},
  year = {1983},
  volume = {48},
  pages = {610--622}
}

@InProceedings{KS05,
  author = {Kunkle, Daren and Schr{\"{o}}der, Matthias},
  title = {Some Examples of Non-Metrizable Spaces Allowing a Simple Type-2
  Complexity Theory},
  booktitle = {Proceedings of the 6th Workshop on Computability and Complexity
  in Analysis},
  editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
  year = {2005},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {120},
  pages = {111--123},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {6th International Workshop, CCA 2004, Wittenberg, Germany, August
  16--20, 2004}
}

@InProceedings{KS95,
  author = {Kummer, Martin and Sch\"afer, Marcus},
  title = {Computability of convex sets},
  booktitle = {STACS'95},
  editor = {Mayr, Ernst W. and Puech, Claude},
  year = {1995},
  series = {Lecture Notes in Computer Science},
  volume = {900},
  pages = {550--561},
  publisher = {Springer},
  address = {Berlin},
  note = {12th Annual STACS, Munich}
}

@Article{KT70,
  author = {Kreisel, G. and Troelstra, A.S.},
  title = {Formal systems for some branches of intuitionistic analysis},
  journal = {Ann. Math. Logic},
  year = {1970},
  volume = {1},
  pages = {229-387}
}

@Book{KV65,
  author = {Kleene, S.C. and Vesli, R.},
  title = {The foundations of intuitionistic mathematics. Especially in
  relation to recursive functions.},
  year = {1965},
  series = {Studies in Logic and the Foundations of Mathematics},
  publisher = {North-Holland},
  address = {Amsterdam}
}

@InProceedings{KW02a,
  author = {Kalantari, Iraj and Welch, Lawrence},
  title = {Recursive Quantum Functions, Avoidable Points, \& Shadow Points in
  Recursive Analysis},
  booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
  year = {2002},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {66},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {5th International Workshop, CCA 2002, M{\'{a}}laga, Spain, July
  12--13, 2002}
}

@Article{KW03,
  author = {Kalantari, Iraj and Welch, Larry},
  title = {A blend of methods of recursion theory and topology},
  journal = {Annals of Pure and Applied Logic},
  year = {2003},
  volume = {124},
  number = {1--3},
  pages = {141--178}
}

@Article{KW04,
  author = {Kalantari, Iraj and Welch, Larry},
  title = {Density and {B}aire category in recursive topology},
  journal = {Mathematical Logic Quarterly},
  year = {2004},
  volume = {50},
  number = {4,5},
  pages = {381--391}
}

@Article{KW08,
  author = {Kalantari, Iraj and Welch, Larry},
  title = {On degree-preserving homeomorphisms between trees in computable
  topology},
  journal = {Archive for Mathematical Logic},
  year = {2008},
  volume = {46},
  number = {7--8},
  pages = {679–-693}
}

@Article{KW08a,
  author = {Kalantari, Iraj and Welch, Larry},
  title = {On {T}uring degrees of points in computable topology},
  journal = {Mathematical Logic Quarterly},
  year = {2008},
  volume = {54},
  number = {5},
  pages = {470--482}
}

@InProceedings{KW82a,
  author = {Kreitz, Christoph and Weihrauch, Klaus},
  title = {Complexity theory on real numbers and functions},
  booktitle = {Theoretical Computer Science},
  editor = {Cremers, A.B. and Kriegel, H.P.},
  year = {1982},
  series = {Lecture Notes in Computer Science},
  volume = {145},
  publisher = {Springer},
  note = {6th GI-Conference, Dortmund, January 5--7, 1983}
}

@InProceedings{KW84,
  author = {Kreitz, Christoph and Weihrauch, Klaus},
  title = {A unified approach to constructive and recursive analysis},
  booktitle = {Computation and Proof Theory},
  editor = {Richter, M.M. and B\"orger, E. and Oberschelp, W. and Schinzel, B.
  and Thomas, W.},
  year = {1984},
  series = {Lecture Notes in Mathematics},
  volume = {1104},
  pages = {259--278},
  publisher = {Springer},
  address = {Berlin},
  note = {Proceedings of the Logic Colloquium, Aachen, July 18--23, 1983, Part
  II}
}

@InProceedings{KW84a,
  author = {Kreitz, Christoph and Weihrauch, Klaus},
  title = {Towards a thoery of representations},
  booktitle = {Frege Conference 1984},
  editor = {Wechsung, G.},
  year = {1984},
  pages = {73--79},
  publisher = {Akademie-Verlag},
  address = {Berlin},
  note = {Proceedings of the International Conference held at Schwerin,
  September 10--14, 1984}
}

@Article{KW85,
  author = {Kreitz, Christoph and Weihrauch, Klaus},
  title = {Theory of representations},
  journal = {Theoretical Computer Science},
  year = {1985},
  volume = {38},
  pages = {35--53}
}

@Article{KW85a,
  author = {Kalantari, I. and Weitkamp, G.},
  title = {Effective topological spaces, {I}. {A} definability theory},
  journal = {Annals of Pure and Applied Logic},
  year = {1985},
  volume = {29},
  pages = {1--27}
}

@Article{KW85b,
  author = {Kalantari, I. and Weitkamp, G.},
  title = {Effective topological spaces, {I}{I}. {A} hierarchy},
  journal = {Annals of Pure and Applied Logic},
  year = {1985},
  volume = {29},
  pages = {207--224}
}

@Article{KW85c,
  author = {Kalantari, I. and Weitkamp, G.},
  title = {Effective topological spaces, {I}{I}{I}. Forcing and definability},
  journal = {Annals of Pure and Applied Logic},
  year = {1985},
  volume = {36},
  pages = {17--27}
}

@Article{KW87,
  author = {Kreitz, Christoph and Weihrauch, Klaus},
  title = {Compactness in constructive analysis revisited},
  journal = {Annals of Pure and Applied Logic},
  year = {1987},
  volume = {36},
  pages = {29--38}
}

@TechReport{KW95,
  author = {Ko, Ker-I and Weihrauch, Klaus},
  title = {Computability and Complexity in Analysis},
  year = {1995},
  month = {September},
  number = {190},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen},
  note = {Proceedings of the CCA Workshop, Hagen, August 19--20, 1995}
}

@InProceedings{KW96,
  author = {Ko, Ker-I and Weihrauch, Klaus},
  title = {On the measure of two-dimensional regions with polynomial-time
  computable boundaries},
  booktitle = {Eleventh Annual IEEE Conference on Computational Complexity},
  editor = {Homer, Steve and Cai, Jin-Yi},
  year = {1996},
  pages = {150--159},
  publisher = {IEEE Computer Society Press},
  address = {Los Alamitos}
}

@Article{KW98,
  author = {Kalantari, Iraj and Welch, Lawrence},
  title = {Point-free topological spaces, functions and recursive points;
  filter foundation for recursive analysis. {I}},
  journal = {Annals of Pure and Applied Logic},
  year = {1998},
  volume = {93},
  number = {1--3},
  pages = {125--151}
}

@Article{KW99,
  author = {Kalantari, Iraj and Welch, Lawrence},
  title = {Recursive and nonextendible functions over the reals; filter
  foundation for recursive analysis, {I}{I}},
  journal = {Annals of Pure and Applied Logic},
  year = {1999},
  volume = {98},
  number = {1--3},
  pages = {87--110}
}

@InProceedings{KY07,
  author = {Ko, Ker-I and Yu, Fuxiang},
  title = {{J}ordan Curves with Polynomial Inverse Moduli of Continuity},
  booktitle = {Proceedings of the Third International Conference on
  Computability and Complexity in Analysis},
  editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
  Klaus},
  year = {2007},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {167},
  pages = {425--447},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2006, Gainesville, Florida, USA, November 1--5, 2006}
}

@Article{KY07a,
  author = {Ko, Ker-I and Yu, Fuxiang},
  title = {On the complexity of computing the logarithm and square root
  functions on a complex domain},
  journal = {Journal of Complexity},
  year = {2007},
  volume = {23},
  number = {1},
  pages = {2--24}
}

@Article{KY07d,
  author = {Ko, Ker-I and Yu, Fuxiang},
  title = {Jordan curves with polynomial inverse moduli of continuity},
  journal = {Theoretical Computer Science},
  year = {2007},
  volume = {381},
  number = {1--3},
  pages = {148--161}
}

@InProceedings{KY08,
  author = {Ko, Ker-I and Yu, Fuxiang},
  title = {On the Complexity of Convex Hulls of Subsets of the Two-Dimensional
  Plane},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {121--135},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@InProceedings{Kal03,
  author = {Kalantari, Iraj},
  title = {Density \& {B}aire category in recursive topology},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus
  and Zhong, Ning},
  year = {2003},
  month = {August},
  series = {Informatik Berichte},
  volume = {302},
  pages = {15--18},
  publisher = {FernUniversit\"at in Hagen},
  note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30,
  2003}
}

@InProceedings{Kal82,
  author = {Kalantari, Iraj},
  title = {Major subsets in effective topology},
  booktitle = {Patras Logic Symposion},
  editor = {Metakides, G.},
  year = {1982},
  series = {Studies in Logic and the Foundations of Mathematics},
  pages = {77--94},
  publisher = {North-Holland},
  address = {Amsterdam},
  note = {Proc. Logic Sympos. Patras, Greece, Aug. 18--22, 1980}
}

@InProceedings{Kam01,
  author = {Kamo, Hiroyasu},
  title = {Effective Contraction Theorem and Its Application},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {88--100},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@InProceedings{Kam05,
  author = {Kamo, Hiroyasu},
  title = {Effective {D}ini's Theorem on Effectively Compact Metric Spaces},
  booktitle = {Proceedings of the 6th Workshop on Computability and Complexity
  in Analysis},
  editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
  year = {2005},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {120},
  pages = {73--82},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {6th International Workshop, CCA 2004, Wittenberg, Germany, August
  16--20, 2004}
}

@InProceedings{Kam05a,
  author = {Kamo, Hiroyasu},
  title = {Computability and computable uniqueness of {U}rysohn's universal
  metric space},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
  Klaus},
  year = {2005},
  month = {July},
  series = {Informatik Berichte},
  volume = {326},
  pages = {149--159},
  publisher = {FernUniversit\"at in Hagen},
  note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan,
  August 25--29, 2005}
}

@InProceedings{Kap01,
  author = {Kapoulas, George},
  title = {Polynomially Time Computable Functions over $p$-Adic Fields},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {101--118},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@TechReport{Kap99,
  author = {Kapoulas, George},
  title = {Computable $p$-adic Numbers},
  year = {1999},
  month = {November},
  number = {115},
  type = {CDMTCS Research Report Series},
  institution = {University of Auckland},
  address = {Auckland}
}

@Article{Kap99a,
  author = {Kapron, Bruce M.},
  title = {Feasibly continuous type-two functionals},
  journal = {Computational Complexity},
  year = {1999},
  volume = {8},
  number = {2},
  pages = {188--201}
}

@InProceedings{Kas03,
  author = {Kashefi, Elham},
  title = {Quantum domain theory -- definitions and applications},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus
  and Zhong, Ning},
  year = {2003},
  month = {August},
  series = {Informatik Berichte},
  volume = {302},
  pages = {255--274},
  publisher = {FernUniversit\"at in Hagen},
  note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30,
  2003}
}

@InProceedings{Kaw05,
  author = {Kawamura, Akitoshi},
  title = {Type-2 Computability and {M}oore's Recursive Functions},
  booktitle = {Proceedings of the 6th Workshop on Computability and Complexity
  in Analysis},
  editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
  year = {2005},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {120},
  pages = {83--95},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {6th International Workshop, CCA 2004, Wittenberg, Germany, August
  16--20, 2004}
}

@InProceedings{Kel00,
  author = {Kelsey, Tom},
  title = {Exact Numerical Computation via Symbolic Computation},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch,
  Klaus},
  year = {2000},
  month = {September},
  series = {Informatik Berichte},
  volume = {272},
  pages = {187--197},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA 2000 Workshop, Swansea, Wales, September 17--19, 2000}
}

@InProceedings{Ken05,
  author = {Kenny, Robert},
  title = {Orbit Complexity and Entropy for Group Endomorphisms},
  booktitle = {Proceedings of the 6th Workshop on Computability and Complexity
  in Analysis},
  editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
  year = {2005},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {120},
  pages = {97--110},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {6th International Workshop, CCA 2004, Wittenberg, Germany, August
  16--20, 2004}
}

@InProceedings{Kie05,
  author = {Kieu, Tien D.},
  title = {Mathematical computability questions for some classes of linear and
  non-linear differential equations originated from {H}ilbert's Tenth Problem},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
  Klaus},
  year = {2005},
  month = {July},
  series = {Informatik Berichte},
  volume = {326},
  pages = {161--168},
  publisher = {FernUniversit\"at in Hagen},
  note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan,
  August 25--29, 2005}
}

@Article{Kla56,
  author = {Klaua, Dieter},
  title = {Berechenbare {A}nalysis},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1956},
  volume = {2},
  pages = {265--303}
}

@Article{Kla59,
  author = {Klaua, Dieter},
  title = {Die {P}r\"azisierung des {B}erechenbarkeitsbegriffes in der
  {A}nalysis mit {H}ilfe rationaler {F}unktionale},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1959},
  volume = {5},
  pages = {33--96}
}

@Article{Kla60,
  author = {Klaua, Dieter},
  title = {Berechenbare {R}eihen},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1960},
  volume = {6},
  pages = {143--161}
}

@Book{Kla61,
  author = {Klaua, Dieter},
  title = {Konstruktive {A}nalysis},
  year = {1961},
  publisher = {Deutscher Verlag der Wissenschaften},
  address = {Berlin}
}

@InProceedings{Kla94,
  author = {Klaua, Dieter},
  title = {Rational and real ordinal numbers},
  booktitle = {Real Numbers, Generalizations of the Reals, and Theories of
  Continua},
  year = {1994},
  series = {Synthese Lib.},
  volume = {242},
  pages = {259--276}
}

@InProceedings{Ko03a,
  author = {Ko, Ker-I},
  title = {Computational Complexity of Fractals},
  booktitle = {Proceedings of the 7th and 8th Asian Logic Conferences},
  editor = {Downey, Rod and Decheng, Ding and Ping, Tung Shih and Hui, Qiu Yu
  and Yasugi, Mariko},
  year = {2003},
  pages = {252--269},
  publisher = {World Scientific},
  address = {Singapore},
  note = {7th Conference: Hsi-Tou, Taiwan, June 6--10, 1999; 8th Conference:
  Chongqing, China, August 29 -- September 2, 2002}
}

@Article{Ko82,
  author = {Ko, Ker-I},
  title = {The maximum value problem and {N}{P} real numbers},
  journal = {Journal of Computer and Systems Sciences},
  year = {1982},
  volume = {24},
  pages = {15--35}
}

@Article{Ko82a,
  author = {Ko, Ker-I},
  title = {Some negative results on the computational complexity of total
  variation and differentiation},
  journal = {Inform. Contr.},
  year = {1982},
  volume = {53},
  pages = {21--31}
}

@Article{Ko83,
  author = {Ko, Ker-I},
  title = {On the computational complexity of ordinary differential equations},
  journal = {Inform. Contr.},
  year = {1983},
  volume = {58},
  pages = {157--194}
}

@Article{Ko83a,
  author = {Ko, Ker-I},
  title = {On the definitions of some complexity classes of real numbers},
  journal = {Math. Systems Theory},
  year = {1983},
  volume = {16},
  pages = {95--109}
}

@Article{Ko84,
  author = {Ko, Ker-I},
  title = {Reducibilities on real numbers},
  journal = {Theoretical Computer Science},
  year = {1984},
  volume = {31},
  pages = {101--123}
}

@Article{Ko85,
  author = {Ko, Ker-I},
  title = {Continuous optimization problems and a polynomial hierarchy of real
  functions},
  journal = {Journal of Complexity},
  editor = {Traub, J.F.},
  year = {1985},
  volume = {1},
  pages = {210--231},
  note = {(Special issue: Complexity of Approximating Solved Problems, Papers
  from Sympos. Columbia Univ., Morningside Heights, NY, Apr. 17--19, 1985)}
}

@Article{Ko86,
  author = {Ko, Ker-I},
  title = {Approximation to measurable functions and its relation to
  probabilistic computation},
  journal = {Annals of Pure and Applied Logic},
  year = {1986},
  volume = {30},
  pages = {173--200}
}

@Article{Ko86a,
  author = {Ko, Ker-I},
  title = {On the computational complexity of best {C}hebyshev approximations},
  journal = {Journal of Complexity},
  year = {1986},
  volume = {2},
  pages = {95--120}
}

@Article{Ko86b,
  author = {Ko, Ker-I},
  title = {On the continued fraction representation of computable real
  numbers},
  journal = {Theoretical Computer Science},
  year = {1986},
  volume = {47},
  pages = {299--313},
  note = {corr. ibid., Vol. 54 (1987), Pages 341--343}
}

@InProceedings{Ko90,
  author = {Ko, Ker-I},
  title = {Inverting a one-to-one real function is inherently sequential},
  journal = {Progr. Comput. Sci. Appl. Logic},
  booktitle = {Feasible Mathematics},
  editor = {Buss, S. and Scott, P.J.},
  year = {1990},
  volume = {9},
  pages = {239--257},
  note = {(Proc. Workshop, June 16--18, 1989, Cornell Univ. Ithaca, NY)}
}

@Book{Ko91,
  author = {Ko, Ker-I},
  title = {Complexity Theory of Real Functions},
  year = {1991},
  series = {Progress in Theoretical Computer Science},
  publisher = {Birkh\"auser},
  address = {Boston}
}

@Article{Ko92,
  author = {Ko, Ker-I},
  title = {On the computational complexity of integral equations},
  journal = {Annals of Pure and Applied Logic},
  year = {1992},
  volume = {58},
  pages = {201--228}
}

@InProceedings{Ko95,
  author = {Ko, Ker-I},
  title = {Recent progress on complexity theory of real functions},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Ko, Ker-I and Weihrauch, Klaus},
  year = {1995},
  month = {September},
  series = {Informatik Berichte},
  volume = {190},
  pages = {83--90},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA Workshop, Hagen, August 19--20, 1995}
}

@Article{Ko95a,
  author = {Ko, Ker-I},
  title = {A polynomial-time computable curve whose interior has a nonrecursive
  measure},
  journal = {Theoretical Computer Science},
  year = {1995},
  volume = {145},
  pages = {241--270}
}

@Article{Ko95b,
  author = {Ko, Ker-I},
  title = {Computational complexity of fixed points and intersection points},
  journal = {Journal of Complexity},
  year = {1995},
  volume = {11},
  pages = {265--292}
}

@InProceedings{Ko96,
  author = {Ko, Ker-I},
  title = {Fractals and complexity},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Ko, Ker-I and M\"uller, Norbert and Weihrauch, Klaus},
  year = {1996},
  pages = {43--48},
  publisher = {Universit\"at Trier},
  note = {Second CCA Workshop, Trier, August 22--23, 1996}
}

@Article{Ko98,
  author = {Ko, Ker-I},
  title = {On the computability of fractal dimensions and {H}ausdorff measure},
  journal = {Annals of Pure and Applied Logic},
  year = {1998},
  volume = {93},
  pages = {195--216}
}

@InProceedings{Ko98a,
  author = {Ko, Ker-I},
  title = {Polynomial-Time Computability in Analysis},
  booktitle = {Handbook of Recursive Mathematics},
  editor = {Ershov, Yu. L. and Goncharov, S.S. and Nerode, A. and Remmel,
  J.B.},
  year = {1998},
  series = {Studies in Logic and the Foundations of Mathematics},
  volume = {139},
  pages = {1271--1317},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {Volume 2, Recursive Algebra, Analysis and Combinatorics}
}

@Article{Kob07,
  author = {K{\/{o}}ber, Petter K.},
  title = {Uniform domain representations of $\ell_p$--spaces},
  journal = {Mathematical Logic Quarterly},
  year = {2007},
  volume = {180},
  number = {2},
  pages = {180--205}
}

@Article{Koh00a,
  author = {Kohlenbach, Ulrich},
  title = {Things that can and things that cannot be done in {PRA}},
  journal = {Annals of Pure and Applied Logic},
  year = {2000},
  volume = {102},
  pages = {223--245}
}

@InProceedings{Koh01,
  author = {Kohlenbach, Ulrich},
  title = {On the Computational Content of the {K}rasnoselski and {I}shikawa
  Fixed Point Theorems},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {119--145},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@Article{Koh01b,
  author = {Kohlenbach, Ulrich},
  title = {A quantitative version of a theorem due to
  {B}orwein-{R}eich-{S}hafrir},
  journal = {Numerical Functional Analysis and Optimization},
  year = {2001},
  volume = {22},
  number = {5},
  pages = {641--656}
}

@Article{Koh02,
  author = {Kohlenbach, Ulrich},
  title = {On uniform weak {K}{\"{o}}nig's lemma},
  journal = {Annals of Pure and Applied Logic},
  year = {2002},
  volume = {114},
  pages = {103--116}
}

@Article{Koh02a,
  author = {Kohlenbach, Ulrich},
  title = {On Weak {M}arkov's Principle},
  journal = {Mathematical Logic Quarterly},
  year = {2002},
  volume = {48},
  number = {Suppl. 1},
  pages = {59--65}
}

@Article{Koh03,
  author = {Kohlenbach, Ulrich},
  title = {Uniform asymptotic regularity for {M}ann iterates},
  journal = {Journal of Mathematical Analysis and Applications},
  year = {2003},
  volume = {279},
  pages = {531--544}
}

@Article{Koh05,
  author = {Kohlenbach, Ulrich},
  title = {Some logical metatheorems with applications in functional analysis},
  journal = {Trans. Amer. Math. Soc.},
  year = {2005},
  volume = {357},
  pages = {89--128}
}

@Article{Koh05a,
  author = {Kohlenbach, Ulrich},
  title = {Some computational aspects of metric fixed point theory},
  journal = {Nonlinear Analysis},
  year = {2005},
  volume = {61},
  pages = {823--837}
}

@InProceedings{Koh05b,
  author = {Kohlenbach, Ulrich},
  title = {Higher order reverse mathematics},
  booktitle = {Reverse Mathematics 2001},
  editor = {Simpson, Stephen G.},
  year = {2005},
  series = {Lecture Notes in Logic},
  volume = {21},
  pages = {281--295},
  publisher = {A K Peters},
  address = {Wellesley}
}

@InProceedings{Koh06,
  author = {Kohlenbach, Ulrich},
  title = {A Logical Uniform Boundedness Principle for Abstract Metric and
  Hyperbolic Spaces},
  booktitle = {Logic, Language, Information and Computation},
  editor = {Mints, Grigori and de Queiroz, Ruy},
  year = {2006},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {165},
  pages = {81--93},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {WoLLIC 2006, 13th Workshop on Logic, Language, Information and
  Computation, Stanford University, CA, USA, 18-21 July 2006}
}

@Article{Koh07,
  author = {Kohlenbach, Ulrich},
  title = {Proof interpretations and the computational content of proofs in
  mathematics},
  journal = {Bulletin of the EATCS},
  year = {2007},
  volume = {93},
  pages = {143--173}
}

@InProceedings{Koh08,
  author = {Kohlenbach, Ulrich},
  title = {Effective bounds from proofs in abstract functional analysis},
  booktitle = {New Computational Paradigms: Changing Conceptions of What is
  Computable},
  editor = {Cooper, Barry and Loewe, Benedikt and Sorbi, Andrea},
  year = {2008},
  pages = {223--258},
  publisher = {Springer}
}

@Article{Koh93,
  author = {Kohlenbach, Ulrich},
  title = {Effective moduli from ineffective uniqueness proofs. An unwinding of
  de {L}a {V}all\'{e} {P}oussin's proof for {C}hebycheff approximation},
  journal = {Annals of Pure and Applied Logic},
  year = {1993},
  volume = {64},
  pages = {27-94}
}

@Article{Koh93a,
  author = {Kohlenbach, Ulrich},
  title = {New effective moduli of uniqueness and uniform a priori estimates
  for constants of strong unicity by logical analysis of known proofs in best
  approximation theory},
  journal = {Numer. Funct. Anal. and Optimiz.},
  year = {1993},
  volume = {14},
  pages = {581-606}
}

@InProceedings{Koh96,
  author = {Kohlenbach, Ulrich},
  title = {Analysing Proofs in Analysis},
  booktitle = {Logic: from Foundations to Applications},
  editor = {Hodges, Wilfried and Hyland, Martin and Steinhorn, Charles and
  Truss, John},
  year = {1996},
  pages = {225--260},
  publisher = {Clarendon Press},
  address = {Oxford},
  note = {European Logic Colloquium}
}

@InProceedings{Koh97,
  author = {Kohlenbach, Ulrich},
  title = {Arithmetizing proofs in analysis},
  booktitle = {Logic Colloquium '96},
  editor = {Larrazabal, J.M. and Lascar, D. and Mints, G.},
  year = {1997},
  series = {Lecture Notes in Logic},
  volume = {12},
  pages = {115--158},
  publisher = {Springer},
  address = {Berlin},
  note = {Proceedings of the Colloquium held in Sebasti\'{a}n, Spain, July
  9--15, 1996}
}

@Article{Koh98,
  author = {Kohlenbach, Ulrich},
  title = {Proof theory and computational analysis},
  journal = {Electronic Notes in Theoretical Computer Science},
  year = {1998},
  volume = {13},
  pages = {1--34}
}

@InProceedings{Koh99,
  author = {Kohlenbach, Ulrich},
  title = {The use of a logical principle of uniform boundedness in analysis},
  booktitle = {Logic and Foundations of Mathematics},
  editor = {Cantini, A. and Casari, E. and Minari, P.},
  year = {1999},
  series = {Synthese Library},
  volume = {280},
  pages = {93--106},
  publisher = {Kluwer Academic Publishers}
}

@Article{Kol25,
  author = {Kolmogorov, Andrei N.},
  title = {On the principle of tertium non datur ({R}ussian)},
  journal = {Mat. Sb.},
  year = {1925},
  volume = {32},
  pages = {646--667},
  note = {[translated in: From Frege to G\"odel: A Source Book in Logic,
  1879--1931, J. van Heijenroot, (ed.), (Harvard Univ. Press, Cambridge, Mass.
  and Oxford Univ. Press, London, 1967) 414--437]}
}

@PhdThesis{Kon00,
  author = {Kone{\v{c}}n{\'{y}}, Michal},
  title = {Many-Valued Real Functions Computable by Finite Transducers using
  IFS-Representations},
  year = {2000},
  school = {School of Computer Science, University of Birmingham},
  address = {Birmingham}
}

@Article{Kon02,
  author = {Kone{\v{c}}n{\'{y}}, Michal},
  title = {Real functions computable by finite automata using affine
  representations},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {284},
  number = {2},
  pages = {373--396}
}

@Article{Kon04,
  author = {Kone{\v{c}}n{\'{y}}, Michal},
  title = {Real functions incrementally computable by finite automata},
  journal = {Theoretical Computer Science},
  year = {2004},
  volume = {315},
  pages = {109--133}
}

@InProceedings{Kor02,
  author = {Korovina, Margarita V.},
  title = {Fixed Points on the Real Numbers without the Equality Test},
  booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
  year = {2002},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {66},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {5th International Workshop, CCA 2002, M{\'{a}}laga, Spain, July
  12--13, 2002}
}

@Article{Kor92,
  author = {Korovina, M.V.},
  title = {Generalized computability of real functions},
  journal = {Siberian Advances in Mathematics},
  year = {1992},
  volume = {2},
  number = {4},
  pages = {85--103}
}

@InProceedings{Kre59,
  author = {Kreisel, G.},
  title = {Interpretation of analysis by means of constructive functionals of
  finite types},
  booktitle = {Constructivity in Mathematics},
  editor = {Heyting, A.},
  year = {1959},
  series = {Studies in Logic and the Foundations of Mathematics},
  pages = {101--128},
  publisher = {North-Holland},
  address = {Amsterdam},
  note = {Proc. Colloq., Amsterdam, Aug. 26--31, 1957}
}

@InProceedings{Kre62,
  author = {Kreisel, G.},
  title = {Foundations of {I}ntuitionistic {L}ogic, {M}ethodology and
  {P}hilisophy of {S}cience},
  booktitle = {Logic, Methodology, and Philosophy of Science},
  year = {1962},
  pages = {198--210},
  note = {(Proc. Internatl. Congr., Stanford, CA, 1960)}
}

@InProceedings{Kre70,
  author = {Kreisel, G.},
  title = {Church's thesis: {A} kind of reducibility axiom for constructive
  mathematics},
  booktitle = {Intuitionism and Proof Theory},
  editor = {Kino, A. and Myhill, J. and Vesley, R.E.},
  year = {1970},
  series = {Studies in Logic and the Foundations of Mathematics},
  pages = {121--150},
  publisher = {North-Holland},
  address = {Amsterdam},
  note = {(Proc. Conf., Buffalo, N.Y., 1968)}
}

@InProceedings{Kre73,
  author = {Kreisel, G.},
  title = {Perspectives in the philosophy of pure mathematics},
  booktitle = {Logic, Methodology, and Philosophy of Science {V}{I}},
  editor = {Suppes, P. and Henkin, L. and Joja, A. and Moisil, Gr.C.},
  year = {1973},
  series = {Studies in Logic and the Foundations of Mathematics},
  pages = {255--277},
  publisher = {North-Holland},
  address = {Amsterdam},
  note = {(Proc. 4th. Internatl. Congr. Logic, Methodology and Philos. Sci.,
  Bucharest, Aug. 29--Sept. 4,1971)}
}

@Article{Kre82,
  author = {Kreisel, G.},
  title = {Reviews: {P}our-{E}l and {R}ichards '{A} computable differential
  equation which possesses no computable solution' (1979), and 'The wave
  equation, with computable initial data such that its unique solution'
  (1981)},
  journal = {The Journal of Symbolic Logic},
  year = {1982},
  volume = {47},
  pages = {900--902}
}

@PhdThesis{Kre84,
  author = {Kreitz, Christoph},
  title = {Theorie der Darstellungen und ihre Anwendungen in der konstruktiven
  Analysis},
  year = {1984},
  school = {Fachbereich Mathematik und Informatik},
  address = {FernUniversit\"{a}t Hagen}
}

@Article{Kre85,
  author = {Kreisel, G.},
  title = {Mathematical logic: tool and object lesson for science. {T}he
  present state of the problem of foundations of mathematics, Florence, 1981},
  journal = {Synthese Lib.},
  year = {1985},
  volume = {62},
  pages = {139--151}
}

@Article{Kru02,
  author = {Krupski, Vladimir N.},
  title = {Effective simultaneous approximability of reals},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {284},
  number = {2},
  pages = {397--417}
}

@InProceedings{Krz01,
  author = {Krznari\'{c}, Marko},
  title = {Computing a Required Absolute Precision from a Stream of Linear
  Fractional Transformations},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {169--186},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@InProceedings{Kun03,
  author = {Kunkle, Daren},
  title = {Computability on spaces of integrable functions},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus
  and Zhong, Ning},
  year = {2003},
  month = {August},
  series = {Informatik Berichte},
  volume = {302},
  pages = {279--301},
  publisher = {FernUniversit\"at in Hagen},
  note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30,
  2003}
}

@TechReport{Kun04,
  author = {Kunkle, Daren},
  title = {Defining Type-2 Computability Structures on Analytical Spaces},
  year = {2004},
  month = {April},
  number = {314},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at in Hagen, Fachbereich Informatik},
  address = {Hagen}
}

@Article{Kun04a,
  author = {Kunkle, Daren},
  title = {Type-2 computability on spaces of integrable functions},
  journal = {Mathematical Logic Quarterly},
  year = {2004},
  volume = {50},
  number = {4,5},
  pages = {417--430}
}

@InProceedings{Kus03,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {The centenary of {A}.{A}. {M}arkov, Jr.; {H}is personality, his
  constructive mathematics},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus
  and Zhong, Ning},
  year = {2003},
  month = {August},
  series = {Informatik Berichte},
  volume = {302},
  pages = {55--79},
  publisher = {FernUniversit\"at in Hagen},
  note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30,
  2003}
}

@Article{Kus64,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {Riemann integration in constructive analysis ({R}ussian)},
  journal = {Dokl. Akad. Nauk SSSR},
  year = {1964},
  volume = {156},
  pages = {255--257},
  note = {[translated in: Soviet Math.-Dokl., 5 (1964) 628--630]}
}

@Article{Kus65,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {Constructive theory of the {R}iemann integral ({R}ussian)},
  journal = {Dokl. Akad. Nauk SSSR},
  year = {1965},
  volume = {165},
  pages = {1238--1240},
  note = {[translated in: Soviet Math.-Dokl. 6 (1965) 1584--1587]}
}

@Article{Kus65a,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {The existence of unbounded constructive analytic functions
  ({R}ussian)},
  journal = {Dokl. Akad. Nauk SSSR},
  year = {1965},
  volume = {160},
  pages = {29--31},
  note = {[translated in: Soviet Math.-Dokl., 6 (1965) 26--28]}
}

@Article{Kus67,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {On constructive antiderivatives ({R}ussian)},
  journal = {Mat. Zametki},
  year = {1967},
  volume = {2},
  pages = {157--166},
  note = {[translated as: Primitive constructive functions, Math. Notes, 2
  (1967) 577--582]}
}

@Article{Kus68,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {A remark on the domains of definition of constructive analytic
  functions ({R}ussian)},
  journal = {Zap. Nau\v{c}n. Sem. Leningrad. Otdel. Inst. Steklov.},
  year = {1968},
  volume = {8},
  pages = {103--106}
}

@Article{Kus70,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {Some mass problems connected with the integration of constructive
  functions ({R}ussian)},
  journal = {Trudy Mat. Inst. Steklov.},
  year = {1970},
  volume = {113},
  pages = {39--72},
  note = {[translated in: Proc. Stehlov Inst. Math., 113 (1970) 42--83]}
}

@Article{Kus73,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {Computationally complex real numbers ({R}ussian)},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1973},
  volume = {19},
  pages = {447--452}
}

@Article{Kus73a,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {Continuity theorems for some types of computable operators
  ({R}ussian)},
  journal = {Dokl. Akad. Nauk SSSR},
  year = {1973},
  volume = {208},
  pages = {1031--1034},
  note = {[translated in: Soviet Math. - Dokl., 14 (1973) 221--225]}
}

@Book{Kus73b,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {Lectures on Constructive Mathematical Analysis ({R}ussian)},
  year = {1973},
  publisher = {Izdat. Nauka},
  note = {translated: by Mendelson, E., and edited by Leifman, L.J., Transl.
  Math. Monographs, 60 (1984)}
}

@Article{Kus74,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {On a type of computable real function ({R}ussian)},
  journal = {Dokl. Akad. Nauk SSSR},
  year = {1974},
  volume = {215},
  pages = {259--262},
  note = {[translated in: Soviet Math. - Dokl., 15 (1974) 466--470]}
}

@InProceedings{Kus74a,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {A constructive version of {K}\"onig's theorem; functions that are
  computable in the sense of {M}arkov, {G}rzegorczyk and {L}acombe
  ({R}ussian)},
  booktitle = {Theory of algorithms and mathematical logic (dedicated to A.A.
  Markov on the occasion of his seventieth birthday)},
  year = {1974},
  pages = {87--111, 215},
  note = {(Vy\v{c}isl. Centr Akad. Nauk SSSR)}
}

@Article{Kus76,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {The computation of isolated roots of constructive functions
  ({R}ussian)},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1976},
  volume = {22},
  pages = {311--332}
}

@InProceedings{Kus76a,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {On {G}rzegorczyk's theorem on the computability of an isolated
  extremum ({R}ussian)},
  booktitle = {Studies in the Theory of Algorithms and Mathematical Logic},
  editor = {Markov, A.A. and Ku\v{s}ner, B.A.},
  year = {1976},
  volume = {2},
  pages = {112--121, 158},
  note = {(Vy\v{c}isl. Centr Akad. Nauk SSSR)}
}

@InProceedings{Kus79,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {Segmental coverings and uniform continuity of constructive functions
  ({R}ussian)},
  booktitle = {Studies in the Theory of Algorithms and Mathematical Logic},
  editor = {Markov, A.A. and Homi\v{c}, V.I.},
  year = {1979},
  pages = {62--69, 133},
  publisher = {Nauka}
}

@InProceedings{Kus81,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {Behavior of the general term of a {S}pecker series ({R}ussian)},
  booktitle = {Mathematical Logic and Mathematical Linguistics},
  editor = {Gladki\u{i}, M.},
  year = {1981},
  pages = {112--116},
  publisher = {Kalinin. Gos. Univ.}
}

@Article{Kus81a,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {On some topological properties of constructive plane curves
  ({R}ussian)},
  journal = {Dokl. Akad. Nauk SSSR},
  year = {1981},
  volume = {260},
  pages = {281--283},
  note = {[translated in: Soviet Math. - Dokl., 24 (1981) 258--261]}
}

@InProceedings{Kus82,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {Some extensions of {M}arkov's constructive continuum and their
  applications to the theory of constructive functions},
  booktitle = {The L.E.J. Brouwer Centenary Symposium (Noordwijkerhout, June
  8-13,1981)},
  editor = {Troelstra, A.S. and van Dalen, D.},
  year = {1982},
  series = {Studies in Logic and the Foundations of Mathematics},
  volume = {110},
  pages = {261--273},
  publisher = {North-Holland},
  address = {Amsterdam}
}

@InProceedings{Kus83,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {A class of {S}pecker sequences ({R}ussian)},
  booktitle = {Mathematical Logic, Mathematical Linguistics and Theory of
  Algorithms},
  editor = {Gladli\u{i}, M.},
  year = {1983},
  pages = {62--65},
  publisher = {Kalinin. Gos. Univ.}
}

@Book{Kus84,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {Lectures on Constructive Mathematical Analysis},
  year = {1984},
  series = {Translations of Mathematical Monographs},
  volume = {60},
  publisher = {American Mathematical Society},
  address = {Providence}
}

@Article{Kus85,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {Differentiability and uniform continuity of constructive functions
  ({R}ussian)},
  journal = {Doklady Akademii Nauk},
  year = {1985},
  volume = {281},
  pages = {1314--1316},
  note = {[translated in: Soviet Math. - Dokl., 31 (1985) 433--435]}
}

@InProceedings{Kus87,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {The principle of bar-induction in {B}rouwer's theory of the
  continuum ({R}ussian)},
  booktitle = {Patterns in the Development of Modern Mathematics,
  Methodological Aspects},
  editor = {Panov, M.I.},
  year = {1987},
  pages = {230--250},
  publisher = {Nauka}
}

@InProceedings{Kus88,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {Effective meaning of a theorem on uniform limit transition
  ({R}ussian)},
  booktitle = {Problems in Mathematical Logic and in the Theory of Algorithms},
  editor = {Nagorny\u{i}, N.M.},
  year = {1988},
  pages = {3--10},
  publisher = {Akad. Nauk SSSR, Vy\v{c}isl. Centr.}
}

@InProceedings{Kus90,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {Markov's constructive mathematical analysis: the expectations and
  the results},
  booktitle = {Mathematical Logic},
  editor = {Petkov, P.P.},
  year = {1990},
  pages = {53--58},
  publisher = {Plenum},
  note = {(Proc. Heyting '88 Summer School, Chaika, Sept. 13--23, 1988)}
}

@Article{Kus93,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {The constructive mathematics of {A}.{A}. {M}arkov: some reflections
  ({R}ussian)},
  journal = {Modern Logic},
  year = {1993},
  volume = {3},
  pages = {119--144}
}

@InProceedings{Kus93a,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {Markov and {B}ishop: an essay in memory of {A}.{A}. {M}arkov
  (1903--1979) and {E}. {B}ishop (1928--1983)},
  booktitle = {Golden Years of Moscow Mathematics},
  editor = {Zdrovkovska, S. and Duren, P.L.},
  year = {1993},
  series = {Hist. Math.},
  volume = {6},
  pages = {179--197}
}

@InProceedings{Kus96,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {Kurt {G}\"odel and the constructive mathematics of {A}.{A}.
  {M}arkov},
  booktitle = {G\"odel '96},
  editor = {H\'ajek, P.},
  year = {1996},
  series = {Lecture Notes in Logic},
  volume = {6},
  pages = {50--63},
  note = {Proc. Conf, Brno, August 1996}
}

@Article{Kus99,
  author = {Ku{\v{s}}ner, Boris Abramovich},
  title = {Markov's constructive analysis; a participant's view},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {219},
  pages = {267--285}
}

@Article{LB06,
  author = {Lewis, Andrew E.M. and Barmpalias, George},
  title = {Random reals and {L}ipschitz continuity},
  journal = {Mathematical Structures in Computer Science},
  year = {2006},
  volume = {16},
  number = {5},
  pages = {737--749}
}

@Article{LCL02,
  author = {Lester, David and Chambers, Scott and Lu, Heoi Lee},
  title = {A constructive algorithm for finding the exact roots of polynomials
  with computable real coefficients},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {279},
  pages = {51--64}
}

@Article{LL03,
  author = {Lawson, Jimmie D. and Lu, Bin},
  title = {Riemann and {E}dalat integration on domains},
  journal = {Theoretical Computer Science},
  year = {2003},
  volume = {305},
  pages = {259--275}
}

@Article{LL90,
  author = {Labhalla, Salah and Lombardi, Henri},
  title = {Real numbers, continued fractions, and complexity classes},
  journal = {Annals of Pure and Applied Logic},
  year = {1990},
  volume = {50},
  pages = {1--28}
}

@Article{LL90a,
  author = {Labhalla, Salah and Lombardi, Henri},
  title = {Comparaison des complexites des nombres reels dans differentes
  representations (a la Cauchy, a la Dedekind, par fractions continues)},
  journal = {Comptes Rendus Acad\'{e}mie des Sciences Paris},
  year = {1990},
  volume = {310},
  pages = {483--488}
}

@Article{LL90b,
  author = {Labhalla, Salah and Lombardi, Henri},
  title = {Comparaison des differentes representations des nombres reels du
  point de vue des fonctionnelles recursives},
  journal = {Comptes Rendus Acad\'{e}mie des Sciences Paris},
  year = {1990},
  volume = {311},
  pages = {229--234}
}

@Article{LL91,
  author = {Labhalla, Salah and Lombardi, Henri},
  title = {Complexite du calcul du developpement d'un nombre reel en fractions
  continues},
  journal = {Theoretical Computer Science},
  year = {1991},
  volume = {83},
  pages = {219--235}
}

@Article{LL96,
  author = {Labhalla, Salah and Lombardi, Henri},
  title = {Analyse de complexit\'e pour un th\'eor\`eme de {H}all sur les
  fractions continues},
  journal = {Mathematical Logic Quarterly},
  year = {1996},
  volume = {42},
  pages = {134--144}
}

@Article{LLM01,
  author = {Labhalla, S. and Lombardi, H. and Moutai, E.},
  title = {Espaces m\'etriques rationnellement pr\'esent\'es et complexit\'e,
  le cas de l'espace des fonctions r\'eelles uniform\'ement continues sur un
  intervalle compact},
  journal = {Theoretical Computer Science},
  year = {2001},
  volume = {250},
  pages = {265--332}
}

@Article{LPJ05,
  author = {Li, C. and Pion, S. and Yap, C.K.},
  title = {Recent progress in exact geometric computation},
  journal = {The Journal of Logic and Algebraic Programming},
  year = {2005},
  volume = {64},
  pages = {85--111}
}

@InProceedings{LR02,
  author = {Langley, Simon and Richardson, Daniel},
  title = {What can we do with a Solution?},
  booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
  year = {2002},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {66},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {5th International Workshop, CCA 2002, M{\'{a}}laga, Spain, July
  12--13, 2002}
}

@InProceedings{LS00,
  author = {Lisovik, Leonid and Shkaravska, Olha},
  title = {On Fractal Dimension of Sets Defined by Transducers},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch,
  Klaus},
  year = {2000},
  month = {September},
  series = {Informatik Berichte},
  volume = {272},
  pages = {261--270},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA 2000 Workshop, Swansea, Wales, September 17--19, 2000}
}

@InProceedings{LW07,
  author = {Lu, Hong and Weihrauch, Klaus},
  title = {Computable {R}iesz representation for the dual of {$C[0;1]$}},
  booktitle = {Proceedings of the Third International Conference on
  Computability and Complexity in Analysis},
  editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
  Klaus},
  year = {2007},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {167},
  pages = {157--177},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2006, Gainesville, Florida, USA, November 1--5, 2006}
}

@Article{LW07a,
  author = {Lu, Hong and Weihrauch, Klaus},
  title = {Computable {R}iesz representation for the dual of {$C[0;1]$}},
  journal = {Mathematical Logic Quarterly},
  year = {2007},
  volume = {53},
  number = {4--5},
  pages = {415--430}
}

@InProceedings{LW08,
  author = {Lu, Dianchen and Wang, Qingyan},
  title = {Computing the Solution of the m-{K}orteweg-de {V}ries Equation on
  {T}uring Machines},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {219--236},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@InProceedings{LW08a,
  author = {Lu, Hong and Weihrauch, Klaus},
  title = {Computable {R}iesz Representation for Locally Compact {H}ausdorff
  Spaces},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {3--12},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@InProceedings{LW08b,
  author = {Lutz, Jack and Weihrauch, Klaus},
  title = {Connectivity Properties of Dimension Level Sets},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {295--304},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@Article{LW08c,
  author = {Lu, Hong and Weihrauch, Klaus},
  title = {Computable {R}iesz Representation for Locally Compact {H}ausdorff
  Spaces},
  journal = {Journal of Universal Computer Science},
  year = {2008},
  volume = {14},
  number = {6},
  pages = {845--860}
}

@Article{LW08d,
  author = {Lutz, Jack H. and Weihrauch, Klaus},
  title = {Connectivity properties of dimension level sets},
  journal = {Mathematical Logic Quarterly},
  year = {2008},
  volume = {54},
  number = {5},
  pages = {483--491}
}

@InProceedings{LZ08,
  author = {Le Roux, St\'ephane and Ziegler, Martin},
  title = {Singular Coverings and Non-Uniform Notions of Closed Set
  Computability},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {73--88},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@Article{LZ08a,
  author = {Le Roux, St\'ephane and Ziegler, Martin},
  title = {Singular coverings and non-uniform notions of closed set
  computability},
  journal = {Mathematical Logic Quarterly},
  year = {2008},
  volume = {54},
  number = {5},
  pages = {545--560}
}

@Article{Lac55,
  author = {Lacombe, Daniel},
  title = {Classes r\'{e}cursivement ferm\'{e}s et fonctions majorantes},
  journal = {Comptes Rendus Acad\'{e}mie des Sciences Paris},
  year = {1955},
  month = {June},
  volume = {240},
  pages = {716--718},
  note = {Th\'{e}orie des fonctions}
}

@Article{Lac55a,
  author = {Lacombe, Daniel},
  title = {Extension de la notion de fonction r\'{e}cursive aux fonctions d'une
  ou plusieurs variables r\'{e}elles {I}},
  journal = {Comptes Rendus Acad\'{e}mie des Sciences Paris},
  year = {1955},
  month = {June},
  volume = {240},
  pages = {2478--2480},
  note = {Th\'{e}orie des fonctions}
}

@Article{Lac55b,
  author = {Lacombe, Daniel},
  title = {Extension de la notion de fonction r\'{e}cursive aux fonctions d'une
  ou plusieurs variables r\'{e}elles {II}},
  journal = {Comptes Rendus Acad\'{e}mie des Sciences Paris},
  year = {1955},
  month = {July},
  volume = {241},
  pages = {13--14},
  note = {Th\'{e}orie des fonctions}
}

@Article{Lac55c,
  author = {Lacombe, Daniel},
  title = {Extension de la notion de fonction r\'{e}cursive aux fonctions d'une
  ou plusieurs variables r\'{e}elles {III}},
  journal = {Comptes Rendus Acad\'{e}mie des Sciences Paris},
  year = {1955},
  month = {July},
  volume = {241},
  pages = {151--153},
  note = {Th\'{e}orie des fonctions}
}

@Article{Lac55d,
  author = {Lacombe, Daniel},
  title = {Remarques sur les op\'{e}rateurs r\'{e}cursifs et sur les fonctions
  r\'{e}cursives d'une variable r\'{e}elle},
  journal = {Comptes Rendus Acad\'{e}mie des Sciences Paris},
  year = {1955},
  month = {November},
  volume = {241},
  pages = {1250--1252},
  note = {Th\'{e}orie des fonctions}
}

@Article{Lac57,
  author = {Lacombe, Daniel},
  title = {Les ensembles r\'{e}cursivement ouverts ou ferm\'{e}s, et leurs
  applications \`{a} l'{A}nalyse r\'{e}cursive},
  journal = {Comptes Rendus Acad\'{e}mie des Sciences Paris},
  year = {1957},
  volume = {245},
  pages = {1040--1043},
  note = {Logique}
}

@Article{Lac57a,
  author = {Lacombe, Daniel},
  title = {Quelques propri\'et\'es d'analyse r\'ecursive},
  journal = {Comptes Rendus Acad\'{e}mie des Sciences Paris},
  year = {1957},
  volume = {244},
  pages = {838--840,996--997}
}

@Article{Lac58,
  author = {Lacombe, Daniel},
  title = {Les ensembles r\'{e}cursivement ouverts ou ferm\'{e}s, et leurs
  applications \`{a} l'{A}nalyse r\'{e}cursive},
  journal = {Comptes Rendus Acad\'{e}mie des Sciences Paris},
  year = {1958},
  volume = {246},
  pages = {28--31},
  note = {Logique}
}

@InProceedings{Lac58a,
  author = {Lacombe, Daniel},
  title = {Sur les possibilites d'extension de la notion de fonction
  r\'{e}cursive aux fonctions d'une ou plusieurs variables r\'{e}elles},
  booktitle = {Le raisonnement en mathematiques et en sciences},
  year = {1958},
  pages = {67--75},
  publisher = {Editions du Centre National de la Recherche Scientifique},
  address = {Paris},
  note = {Colloques Internationaux du Centre National de la Recherche
  Scientifique, LXX}
}

@InProceedings{Lac59,
  author = {Lacombe, Daniel},
  title = {Quelques proc\'{e}d\'{e}s de d\'{e}finition en topologie
  r\'{e}cursive},
  booktitle = {Constructivity in mathematics},
  editor = {Heyting, A.},
  year = {1959},
  pages = {129--158},
  publisher = {North-Holland},
  address = {Amsterdam},
  note = {Colloquium at Amsterdam, 1957}
}

@Article{Lac63,
  author = {Lachlan, A.H.},
  title = {Recursive real numbers},
  journal = {The Journal of Symbolic Logic},
  year = {1963},
  volume = {28},
  pages = {1--16}
}

@InProceedings{Lam03,
  author = {Lambov, Branimir},
  title = {A two-layer approach to the computability and complexity of real
  functions},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus
  and Zhong, Ning},
  year = {2003},
  month = {August},
  series = {Informatik Berichte},
  volume = {302},
  pages = {303--324},
  publisher = {FernUniversit\"at in Hagen},
  note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30,
  2003}
}

@InProceedings{Lam05,
  author = {Lambov, Branimir},
  title = {Rates of Convergence of Recursively Defined Sequences},
  booktitle = {Proceedings of the 6th Workshop on Computability and Complexity
  in Analysis},
  editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
  year = {2005},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {120},
  pages = {125--133},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {6th International Workshop, CCA 2004, Wittenberg, Germany, August
  16--20, 2004}
}

@InProceedings{Lam05a,
  author = {Lambov, Branimir},
  title = {{RealLib}: an efficient implementation of Exact Real Arithmetic},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
  Klaus},
  year = {2005},
  month = {July},
  series = {Informatik Berichte},
  volume = {326},
  pages = {169--175},
  publisher = {FernUniversit\"at in Hagen},
  note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan,
  August 25--29, 2005}
}

@PhdThesis{Lam05b,
  author = {Lambov, Branimir},
  title = {Topics in the Theory and Practice of Computable Analysis},
  year = {2005},
  school = {Department of Computer Science, University of Aarhus, Denmark},
  address = {Aarhus}
}

@Article{Lam06,
  author = {Lambov, Branimir},
  title = {The basic feasible functionals in computable analysis},
  journal = {Journal of Complexity},
  year = {2006},
  volume = {22},
  number = {6},
  pages = {909--917}
}

@Article{Lam07,
  author = {Lambov, Branimir},
  title = {{RealLib}: {A}n efficient implementation of exact real arithmetic},
  journal = {Mathematical Structures in Computer Science},
  year = {2007},
  volume = {17},
  pages = {81--98}
}

@Article{Leh61,
  author = {Lehman, R.S.},
  title = {On primitive recursive real numbers},
  journal = {Fundamenta Mathematicae},
  year = {1961},
  volume = {49},
  pages = {105--118}
}

@InProceedings{Les08,
  author = {Le{\v{s}}nik, Davorin},
  title = {Constructive {U}rysohn’s Universal Metric Space},
  booktitle = {{CCA} 2008, Fifth International Conference on Computability and
  Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  pages = {171--179},
  publisher = {Elsevier},
  note = {CCA 2008, Fifth International Conference, Hagen, Germany, August
  21--24, 2008}
}

@InProceedings{Leu06,
  author = {Leu{\c{s}}tean, Lauren{\c{t}}iu},
  title = {Proof Mining in {$R$}-trees and Hyperbolic Spaces},
  booktitle = {Logic, Language, Information and Computation},
  editor = {Mints, Grigori and de Queiroz, Ruy},
  year = {2006},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {165},
  pages = {95--106},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {WoLLIC 2006, 13th Workshop on Logic, Language, Information and
  Computation, Stanford University, CA, USA, 18-21 July 2006}
}

@Article{Leu07,
  author = {Leu{\c{s}}tean, Lauren{\c{t}}iu},
  title = {A quadratic rate of asymptotic regularity for {CAT(0)}-spaces},
  journal = {J. Math. Anal. Appl.},
  year = {325},
  volume = {2007},
  pages = {386--399}
}

@Article{Lew92,
  author = {Lewis, A.A.},
  title = {Some aspects of effectively constructive mathematics that are
  relevant to the foundations of neoclassical mathematical economics and the
  theory of games},
  journal = {Math. Social Sciences},
  year = {1992},
  volume = {24},
  pages = {209--235}
}

@PhdThesis{Lie04,
  author = {Lietz, Peter},
  title = {From Constructive Mathematics to Computable Analysis via the
  Realizability Interpretation},
  year = {2004},
  school = {Fachbereich Mathematik, TU Darmstadt},
  address = {Darmstadt}
}

@InProceedings{Lie98,
  author = {Lieutier, Andr{\`{e}}},
  title = {Toward a data type for Solid Modeling based on Domain Theory},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch,
  Klaus and Wiedermann, Ji{\v{r}}{\'{\i}}},
  year = {1998},
  month = {August},
  series = {Informatik Berichte},
  volume = {235},
  pages = {51--60},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA Workshop, Brno, Czech Republic, August, 1998}
}

@Article{Lif82,
  author = {Lifschitz, Vladimir},
  title = {Constructive assertions in an extension of classical mathematics},
  journal = {The Journal of Symbolic Logic},
  year = {1982},
  volume = {47},
  number = {2},
  pages = {359--387}
}

@Article{Lor51,
  author = {Lorenzen, Paul},
  title = {Mass und {I}ntegral in der konstruktiven {A}nalysis},
  journal = {Mathematische Zeitschrift},
  year = {1951},
  volume = {54},
  pages = {275--290}
}

@Book{Lor65,
  author = {Lorenzen, Paul},
  title = {Differential und {I}ntegral. {E}ine konstruktive {E}inf\"uhrung in
  die klassische {A}nalysis.},
  year = {1965},
  publisher = {Akademische Verlagsgesellschaft},
  address = {Frankfurt}
}

@Article{Lor78,
  author = {Lorenzen, Paul},
  title = {Konstruktive {A}nalysis und das geometrische {K}ontinuum},
  journal = {Dialectica},
  year = {1978},
  volume = {32},
  pages = {221--227}
}

@InProceedings{Lub07,
  author = {Lubarsky, Robert S.},
  title = {On the {C}auchy completeness of the constructive {C}auchy reals},
  booktitle = {Proceedings of the Third International Conference on
  Computability and Complexity in Analysis},
  editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
  Klaus},
  year = {2007},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {167},
  pages = {225--254},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2006, Gainesville, Florida, USA, November 1--5, 2006}
}

@Article{Lub07a,
  author = {Lubarsky, Robert S.},
  title = {On the {C}auchy completeness of the constructive {C}auchy reals},
  journal = {Mathematical Logic Quarterly},
  year = {2007},
  volume = {53},
  number = {4--5},
  pages = {396--414}
}

@Article{Luc77,
  author = {Luckhardt, Horst},
  title = {A fundamental effect in computations on real numbers},
  journal = {Theoretical Computer Science},
  year = {1977},
  volume = {5},
  number = {3},
  pages = {321--324}
}

@Article{Lut05,
  author = {Lutz, Jack H.},
  title = {Effective fractal dimensions},
  journal = {Mathematical Logic Quarterly},
  year = {2005},
  volume = {51},
  number = {1},
  pages = {62--72}
}

@InProceedings{MBV01,
  author = {Meyssonnier, Charles and Boldi, Paolo and Vigna, Sebastiano},
  title = {$\delta$-Approximable Functions},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {187--199},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@Article{MC04,
  author = {Mycka, Jerzy and Costa, Jos\'{e} F\'{e}lix},
  title = {Real recursive functions and their hierarchy},
  journal = {Journal of Complexity},
  year = {2004},
  volume = {20},
  number = {6},
  pages = {835--857}
}

@InProceedings{MC05,
  author = {Mycka, Jerzy and Costa, Jos\'{e} F\'{e}lix},
  title = {The computational power of continuous dynamic systems},
  booktitle = {Machines, Computations, Universality},
  editor = {Maurice Margenstern},
  year = {2005},
  series = {Lecture Notes in Computer Science},
  volume = {3354},
  pages = {163--174},
  publisher = {Springer},
  address = {Berlin},
  note = {Conference on Machines, Computations, Universality, MCU 2004,
  Saint-Petersburg, Russia, September 21--26, 2004}
}

@Article{MC06,
  author = {Mycka, Jerzy and Costa, Jos\'{e} F\'{e}lix},
  title = {The {$P\not=NP$} conjecture in the context of real and complex
  analysis},
  journal = {Journal of Complexity},
  year = {2006},
  volume = {22},
  number = {2},
  pages = {287--303}
}

@Article{MC07,
  author = {Mycka, Jerzy and Costa, Jos\'{e} F\'{e}lix},
  title = {A new conceptual framework for analog computation},
  journal = {Theoretical Computer Science},
  year = {2007},
  volume = {374},
  pages = {277--290}
}

@Article{ME07,
  author = {Escard\'{o}, Mart\'{\i}n H. and Marcial-Romero, J. Raymundo},
  title = {Semantics of a sequential language for exact real-number
  computation},
  journal = {Theoretical Computer Science},
  year = {2007},
  volume = {379},
  pages = {120--141}
}

@InProceedings{MK08,
  author = {Morozov, Andrei and Korovina, Margarita},
  title = {Remarks on $\Sigma$-definability without the equality test over the
  reals},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {315--322},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@Article{MK08a,
  author = {Morozov, Andrei S. and Korovina, Margarita V.},
  title = {On {$\Sigma$}-definability without equality over the real numbers},
  journal = {Mathematical Logic Quarterly},
  year = {2008},
  volume = {54},
  number = {5},
  pages = {535--544}
}

@Article{MKO04,
  author = {Mulupuru, Bharat C. and Kreinovich, Vladik and Osegueda, Roberto},
  title = {Interval Approach to Phase Measurements Can Lead to Arbitrarily
  Complex Sets - A Theorem and Ways Around It},
  journal = {Numerical Algorithms},
  year = {2004},
  volume = {37},
  pages = {285--299}
}

@InProceedings{MM08,
  author = {Marcial-Romero, J. Raymundo and Moshier, M. Andrew},
  title = {Sequential Real Number Computation and Recursive Relations},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {171--189},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@Article{MM08a,
  author = {Marcial-Romero, J. Raymundo and Moshier, M. Andrew},
  title = {Sequential real number computation and recursive relations},
  journal = {Mathematical Logic Quarterly},
  year = {2008},
  volume = {54},
  number = {5},
  pages = {492--507}
}

@InProceedings{MM93,
  author = {M{\"u}ller, Norbert Th. and Moiske, B.},
  title = {Solving Initial Value Problems in Polynomial Time},
  booktitle = {Proceedings of the 22th JAIIO - Panel'93, Part 2},
  year = {1993},
  pages = {283--293},
  note = {Buenos Aires, 1993}
}

@Article{MMOS90,
  author = {Matijasevi\v{c}, Yu.V. and Mints, G.E. and Orevkov, V.P. and
  Slisenko, A.O.},
  title = {Nikola\u{i} {A}leksandrovich {S}hanin (on his seventieth birthday),
  ({R}ussian)},
  journal = {Uspekhi Mat. Nauk},
  year = {1990},
  volume = {45},
  pages = {205--206},
  note = {[translated in: Russian Math. Surveys, 45:1 (1990) 239--240]}
}

@Article{MN08,
  author = {Matheson, Alec and McNicholl, Timothy H.},
  title = {Computable analysis and {B}laschke products},
  journal = {Proceedings of the American Mathematical Society},
  year = {2008},
  volume = {136},
  pages = {321--332}
}

@InProceedings{MN82,
  author = {Metakides, George and Nerode, Anil},
  title = {The introduction of non-recursive methods into mathematics},
  booktitle = {The L.E.J. Brouwer Centenary Symposium},
  editor = {Troelstra, A.S. and Dalen, D. van},
  year = {1982},
  series = {Studies in Logic and the foundations of mathematics},
  volume = {110},
  pages = {319--335},
  publisher = {North-Holland},
  address = {Amsterdam},
  note = {Proceedings of the conference held in Noordwijkerhout, June 8--13,
  1981}
}

@InProceedings{MNS85,
  author = {Metakides, George and Nerode, Anil and Shore, R.A.},
  title = {Recursive limits on the {H}ahn-{B}anach theorem},
  booktitle = {Errett Bishop: Reflections on Him and His Research},
  editor = {Rosenblatt, Murray},
  year = {1985},
  series = {Contemporary Mathematics},
  volume = {39},
  pages = {85--91},
  publisher = {American Mathematical Society},
  address = {Providence},
  note = {Proceedings of the memorial meeting for Errett Bishop, University of
  California, San Diego, September 24, 1983}
}

@Article{MS55,
  author = {Myhill, J. and Shepherdson, J.},
  title = {Effective operations on partial recursive functions},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1955},
  volume = {1},
  pages = {310--317}
}

@InProceedings{MTY05,
  author = {Mori, Takakazu and Tsujii, Yoshiki and Yasugi, Mariko},
  title = {Fine computable functions and effective {F}ine convergence},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
  Klaus},
  year = {2005},
  month = {July},
  series = {Informatik Berichte},
  volume = {326},
  pages = {177--197},
  publisher = {FernUniversit\"at in Hagen},
  note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan,
  August 25--29, 2005}
}

@InProceedings{MTY97,
  author = {Mori, Takakazu and Tsujii, Yoshiki and Yasugi, Mariko},
  title = {Computability Structures on Metric Spaces},
  booktitle = {Combinatorics, Complexity, and Logic},
  editor = {Bridges, Douglas S. and Calude, Cristian S. and Gibbons, Jeremy and
  Reeves, Steve and Witten, Ian H.},
  year = {1997},
  series = {Discrete Mathematics and Theoretical Computer Science},
  pages = {351--362},
  publisher = {Springer},
  address = {Singapore},
  note = {Proceedings of DMTCS'96}
}

@Article{MY04,
  author = {Miyamoto, Shoki and Yoshikawa, Atsushi},
  title = {Computable sequences in the {S}obolev spaces},
  journal = {Proc. Japan Acad. Ser. A},
  year = {2004},
  volume = {80},
  number = {3},
  pages = {15--17}
}

@InProceedings{MYT08,
  author = {Mori, Takakazu and Yasugi, Mariko and Tsujii, Yoshiki},
  title = {Integral of {F}ine Computable functions and {W}alsh {F}ourier
  series},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {279--293},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@Article{MYT08a,
  author = {Mori, Takakazu and Yasugi, Mariko and Tsujii, Yoshiki},
  title = {Effective {F}ine-convergence of {W}alsh-{F}ourier series},
  journal = {Mathematical Logic Quarterly},
  year = {2008},
  volume = {54},
  number = {5},
  pages = {519--534}
}

@InProceedings{MYT08b,
  author = {Mori, Takakazu and Yasugi, Mariko and Tsujii, Yoshiki},
  title = {Integral of Two-dimensional {F}ine-computable Functions},
  booktitle = {{CCA} 2008, Fifth International Conference on Computability and
  Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  pages = {141--152},
  publisher = {Elsevier},
  note = {CCA 2008, Fifth International Conference, Hagen, Germany, August
  21--24, 2008}
}

@InProceedings{MZ08,
  author = {M\"uller, Norbert Th. and Zhao, Xishun},
  title = {Jordan Areas and Grids},
  booktitle = {{CCA} 2008, Fifth International Conference on Computability and
  Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  pages = {191--206},
  publisher = {Elsevier},
  note = {CCA 2008, Fifth International Conference, Hagen, Germany, August
  21--24, 2008}
}

@Article{MZ68,
  author = {Manukjan, S.N. and Zaslavski\u{i}, I.D.},
  title = {Partitionings of the plane by constructive curves ({R}ussian)},
  journal = {Trudy Vy\v{c}isl. Centr. Akad. Nauk Armjan. SSR i Erevan. Gos.
  Univ.},
  year = {1968},
  volume = {5},
  pages = {26--138}
}

@Article{Man76,
  author = {Mandelkern, Mark},
  title = {Connectivity of an interval},
  journal = {Proceedings of the American Mathematical Society},
  year = {1976},
  volume = {54},
  pages = {170--172}
}

@Article{Man82,
  author = {Mandelkern, Mark},
  title = {Continuity of monotone functions},
  journal = {Pacific Journal of Mathematics},
  year = {1982},
  volume = {99},
  pages = {413--418}
}

@Book{Man83,
  author = {Mandelkern, Mark},
  title = {Constructive continuity},
  year = {1983},
  series = {Memoirs},
  volume = {42},
  publisher = {American Mathematical Society},
  address = {Providence}
}

@Article{Man88,
  author = {Mandelkern, Mark},
  title = {Constructively complete finite sets},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1988},
  volume = {34},
  number = {2},
  pages = {97--103}
}

@InProceedings{Mar00,
  author = {Martin, Keye},
  title = {Complexity and Verification of a Renee Equation},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch,
  Klaus},
  year = {2000},
  month = {September},
  series = {Informatik Berichte},
  volume = {272},
  pages = {271--286},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA 2000 Workshop, Swansea, Wales, September 17--19, 2000}
}

@Article{Mar54,
  author = {Markov, A.A.},
  title = {On the continuity of constructive functions ({R}russian)},
  journal = {Uspekhi Mat. Nauk (N.S.)},
  year = {1954},
  volume = {9},
  pages = {226--230}
}

@Article{Mar58,
  author = {Markov, A.A.},
  title = {On constructive functions},
  journal = {Trudy Mat.\ Inst.\ Steklov},
  year = {1958},
  volume = {52},
  pages = {315--348},
  note = {(in Russian, English trans. in AMS Trans. (2) 29, 1963)}
}

@Book{Mar70,
  author = {Martin-L\"{o}f, Per},
  title = {Notes on constructive mathematics},
  year = {1970},
  publisher = {Almqvist and Wiksell},
  address = {Stockholm}
}

@Article{Mar78,
  author = {Margenstern, Maurice},
  title = {On a variant of constructivisation of the theory of almost periodic
  functions},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1978},
  volume = {24},
  number = {6},
  pages = {495--507}
}

@Book{Maz63,
  author = {Mazur, Stanis{\l}aw},
  title = {Computable Analysis},
  year = {1963},
  volume = {33},
  publisher = {Razprawy Matematyczne},
  address = {Warsaw}
}

@InProceedings{McN07,
  author = {McNicholl, Timothy H.},
  title = {Computability and the implicit function theorem},
  booktitle = {Proceedings of the Third International Conference on
  Computability and Complexity in Analysis},
  editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
  Klaus},
  year = {2007},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {167},
  pages = {3--15},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2006, Gainesville, Florida, USA, November 1--5, 2006}
}

@InProceedings{McN08,
  author = {McNicholl, Timothy H.},
  title = {Uniformly computable aspects of inner functions},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {27--36},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@Article{McN08a,
  author = {McNicholl, Timothy H.},
  title = {A uniformly computable Implicit Function Theorem},
  journal = {Mathematical Logic Quarterly},
  year = {2008},
  volume = {54},
  number = {3},
  pages = {272--279}
}

@Article{McN08b,
  author = {McNicholl, Timothy H.},
  title = {Uniformly computable aspects of inner functions: estimation and
  factorization},
  journal = {Mathematical Logic Quarterly},
  year = {2008},
  volume = {54},
  number = {5},
  pages = {508--518}
}

@Article{Men05,
  author = {M{\'e}nissier-Morain, Val{\'e}rie},
  title = {Arbitrary precision real arithmetic: design and algorithms},
  journal = {The Journal of Logic and Algebraic Programming},
  year = {2005},
  volume = {64},
  pages = {13--39}
}

@Article{Mes56a,
  author = {Meschkowski, Herbert},
  title = {Rekursive reelle {Z}ahlen},
  journal = {Math. Z.},
  year = {1956},
  volume = {66},
  pages = {189--202}
}

@InProceedings{Mie08,
  author = {Mielke, J\"oran},
  title = {Refined Bounds on {K}olmogorov Complexity for $\omega$-Languages},
  booktitle = {{CCA} 2008, Fifth International Conference on Computability and
  Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  pages = {181--189},
  publisher = {Elsevier},
  note = {CCA 2008, Fifth International Conference, Hagen, Germany, August
  21--24, 2008}
}

@InProceedings{Mil02,
  author = {Miller, Joseph S.},
  title = {Effectiveness for Embedded Spheres and Balls},
  booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
  year = {2002},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {66},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {5th International Workshop, CCA 2002, M{\'{a}}laga, Spain, July
  12--13, 2002}
}

@PhdThesis{Mil02a,
  author = {Miller, Joseph Stephen},
  title = {Pi-0-1 Classes in Computable Analysis and Topology},
  year = {2002},
  school = {Cornell University},
  address = {Ithaca, USA}
}

@Article{Mil04,
  author = {Miller, Joseph S.},
  title = {Degrees of unsolvability of continuous functions},
  journal = {The Journal of Symbolic Logic},
  year = {2004},
  volume = {69},
  number = {2},
  pages = {555--584}
}

@Article{Mil70,
  author = {Miller, Webb},
  title = {Recursive function theory and numerical analysis},
  journal = {Journal of Computer and Systems Sciences},
  year = {1970},
  volume = {4},
  pages = {465--472}
}

@InProceedings{Mor01a,
  author = {Mori, Takakazu},
  title = {Computabilities of Fine-Continuous Functions},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {200--221},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@Article{Mor02,
  author = {Mori, Takakazu},
  title = {On the computability of {W}alsh functions},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {284},
  number = {2},
  pages = {419--436}
}

@InProceedings{Mos08,
  author = {Moser, Philippe},
  title = {On the Convergence of {F}ourier Series of Computable {L}ebesgue
  Integrable Functions},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {13--18},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@Article{Mos53,
  author = {Mostowski, Andrzej},
  title = {A lemma concerning recursive functions and its applications},
  journal = {Bull. Acad. Polon. Sci. Cl. III},
  year = {1953},
  volume = {1},
  pages = {277--280}
}

@Book{Mos55,
  author = {Mostowski, Andrzej},
  title = {The present state of investigations on the foundations of
  mathematics},
  year = {1955},
  series = {Rozprawy Matematyczne},
  volume = {9},
  publisher = {Polska Akademia Nauk},
  address = {Warsaw}
}

@Article{Mos57,
  author = {Mostowski, Andrzej},
  title = {On computable sequences},
  journal = {Fundamenta Mathematicae},
  year = {1957},
  volume = {44},
  pages = {37--51}
}

@InProceedings{Mos59,
  author = {Mostowski, Andrzej},
  title = {On various degrees of constructivism},
  booktitle = {Constructivity in Mathematics},
  editor = {Heyting, A.},
  year = {1959},
  series = {Studies in Logic and the Foundations of Mathematics},
  pages = {178--194},
  publisher = {North-Holland},
  address = {Amsterdam},
  note = {Proc. Colloq., Amsterdam, Aug. 26--31, 1957}
}

@Article{Mos64,
  author = {Moschovakis, Yiannis Nicholas},
  title = {Notation systems and recursive ordered fields},
  journal = {Compositio Math.},
  year = {1964},
  volume = {17},
  pages = {40--71}
}

@Article{Mos64a,
  author = {Moschovakis, Yiannis Nicholas},
  title = {Recursive metric spaces},
  journal = {Fundamenta Mathematicae},
  year = {1964},
  volume = {55},
  pages = {215--238}
}

@Article{Mos96,
  author = {Moschovakis, J.R.},
  title = {A classical view of the intuitionistic continuum},
  journal = {Annals of Pure and Applied Logic},
  year = {1996},
  volume = {81},
  pages = {9--24}
}

@InProceedings{Mue01,
  author = {M{\"u}ller, Norbert Th.},
  title = {The {iRRAM}: Exact Arithmetic in {C}++},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {222--252},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@InProceedings{Mue02,
  author = {M{\"u}ller, Norbert Th.},
  title = {Real Numbers and {BDD}s},
  booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
  year = {2002},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {66},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {5th International Workshop, CCA 2002, M{\'{a}}laga, Spain, July
  12--13, 2002}
}

@TechReport{Mue86,
  author = {M{\"u}ller, Norbert Th.},
  title = {Computational complexity of real functions and real numbers},
  year = {1986},
  month = {June},
  number = {59},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen}
}

@InProceedings{Mue86a,
  author = {M{\"u}ller, Norbert Th.},
  title = {Subpolynomial complexity classes of real functions and real
  numbers},
  booktitle = {Proceedings of the 13th International Colloquium on Automata,
  Languages, and Programming},
  editor = {Kott, Laurent},
  year = {1986},
  series = {Lecture Notes in Computer Science},
  volume = {226},
  pages = {284--293},
  publisher = {Springer},
  address = {Berlin}
}

@InProceedings{Mue87,
  author = {M{\"u}ller, Norbert Th.},
  title = {Uniform Computational Complexity of {T}aylor series},
  booktitle = {Proceedings of the 14th International Colloquium on Automata,
  Languages, and Programming},
  editor = {Ottmann, Thomas},
  year = {1987},
  series = {Lecture Notes in Computer Science},
  volume = {267},
  pages = {435--444},
  publisher = {Springer},
  address = {Berlin}
}

@PhdThesis{Mue88,
  author = {M{\"u}ller, Norbert Th.},
  title = {Untersuchungen zur Komplexit\"at reeller Funktionen},
  year = {1988},
  school = {Fachbereich Mathematik und Informatik},
  address = {FernUniversit\"{a}t Hagen}
}

@InProceedings{Mue93,
  author = {M{\"u}ller, Norbert Th.},
  title = {Polynomial Time Computation of {T}aylor series},
  booktitle = {Proceedings of the 22th JAIIO - Panel'93, Part 2},
  year = {1993},
  pages = {259--281},
  note = {Buenos Aires, 1993}
}

@InProceedings{Mue95,
  author = {M{\"u}ller, Norbert Th.},
  title = {Constructive aspects of analytic functions},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Ko, Ker-I and Weihrauch, Klaus},
  year = {1995},
  month = {September},
  series = {Informatik Berichte},
  volume = {190},
  pages = {105--114},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA Workshop, Hagen, August 19--20, 1995}
}

@InProceedings{Mue96,
  author = {M{\"u}ller, Norbert Th.},
  title = {Towards a real {R}eal {RAM}: a prototype using {C$++$}},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Ko, Ker-I and M\"uller, Norbert and Weihrauch, Klaus},
  year = {1996},
  pages = {59--66},
  publisher = {Universit\"at Trier},
  note = {Second CCA Workshop, Trier, August 22--23, 1996}
}

@InProceedings{Mue98,
  author = {M{\"u}ller, Norbert Th.},
  title = {Implementing limits in an interactive {RealRAM}},
  booktitle = {Third Real Numbers and Computers Conference},
  editor = {Chesneaux, J.-M. and J\'{e}z\'{e}quel, F. and Lamotte, J.-L. and
  Vignes, J.},
  year = {1998},
  pages = {59--66},
  publisher = {Universit\'{e} Pierre et Marie Curie, Paris},
  note = {Paris, France, April 27-29, 1998}
}

@Article{Mue99,
  author = {M{\"u}ller, Norbert Th.},
  title = {Computability on random variables},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {219},
  pages = {287--299}
}

@Article{Myh53,
  author = {Myhill, John},
  title = {Criteria of constructibility for real numbers},
  journal = {The Journal of Symbolic Logic},
  year = {1953},
  volume = {18},
  number = {1},
  pages = {7--10}
}

@Article{Myh71,
  author = {Myhill, John},
  title = {A recursive function defined on a compact interval and having a
  continuous derivative that is not recursive},
  journal = {Michigan Math.\ J.},
  year = {1971},
  volume = {18},
  pages = {97--98}
}

@Article{Myh72,
  author = {Myhill, John},
  title = {What is a real number?},
  journal = {The American Mathematical Monthly},
  year = {1972},
  volume = {79},
  pages = {748--754}
}

@Article{Myk03,
  author = {Mycka, Jerzy},
  title = {$mu$--Recursion and infinite limits},
  journal = {Theoretical Computer Science},
  year = {2003},
  volume = {302},
  pages = {123--133}
}

@Article{Myk03a,
  author = {Mycka, Jerzy},
  title = {Infinite limits and {R}-recursive functions},
  journal = {Acta Cybernetica},
  year = {2003},
  volume = {16},
  number = {1},
  pages = {83--91}
}

@Article{Myk03b,
  author = {Mycka, Jerzy},
  title = {Two hierarchies of {$R$}--recursive functions},
  journal = {Annales UMCS Informatica Lublin-Polonia AI},
  year = {2003},
  volume = {1},
  pages = {49--59}
}

@Article{Myk05,
  author = {Mycka, Jerzy},
  title = {Real recursive functions and {B}aire classes},
  journal = {Fundamenta Informaticae},
  year = {2005},
  volume = {65},
  number = {3},
  pages = {263--278}
}

@InProceedings{Myr95,
  author = {Myrvold, Wayne C.},
  title = {Computability in quantum mechanics},
  booktitle = {The foundational debate},
  editor = {DePauli-Schimanovich, Werner and K\"ohler, Eckehart and Stadler,
  Friedrich},
  year = {1995},
  series = {Vienna Circle Institute Yearbook},
  volume = {3},
  pages = {33--46},
  publisher = {Kluwer},
  address = {Dordrecht},
  note = {Conference on the Foundational Debate: Constructivity and Complexity
  in Logic, Mathematics and Physics held at the University of Vienna, Vienna,
  September 1994}
}

@InProceedings{Myr97,
  author = {Myrvold, Wayne C.},
  title = {The decision problem for entanglement},
  booktitle = {Potentiality, Entanglement and Passion-at-a-Distance},
  editor = {Cohen, Robert S. and Horne, Michael and Stachel, John},
  year = {1997},
  series = {Boston Studies in the Philosophy of Science},
  volume = {194},
  pages = {177--190},
  publisher = {Kluwer},
  address = {Dordrecht},
  note = {Symposium on Foundations of Quantum Mechanics held at Boston
  University, Boston, MA, September 19, 1994}
}

@Article{ND06,
  author = {N{\'e}meti, Istv{\'a}n and Gyula, D{\'a}vid},
  title = {Relativistic computers and the {T}uring barrier},
  journal = {Applied Mathematics and Computation},
  year = {2006},
  volume = {178},
  number = {1},
  pages = {118--142}
}

@Article{NH02,
  author = {Nakata, Masahiro and Hayashi, Susumu},
  title = {A limiting first order realizability interpretation},
  journal = {Sci. Math. Jpn.},
  year = {2002},
  volume = {55},
  number = {3},
  pages = {567--580}
}

@Article{NH85,
  author = {Nerode, Anil and Huang, Wen-Qi},
  title = {Application of pure recursion theory in recursive analysis},
  journal = {Acta Mathematica Sinica},
  year = {1985},
  volume = {28},
  pages = {625--636},
  note = {(in Chinese)}
}

@Article{NKS04,
  author = {Nedialkov, Nedialko S. and Kreinovich, Vladik and Starks, Scott
  A.},
  title = {Interval Arithmetic, Affine Arithmetic, Taylor Series Methods: Why,
  What Next?},
  journal = {Numerical Algorithms},
  year = {2004},
  volume = {37},
  pages = {325--336}
}

@Proceedings{NKW99,
  title = {Computability and Complexity in Analysis},
  editor = {Nerode, Anil and Ko, Ker-I and Weihrauch, Klaus},
  year = {1999},
  volume = {219},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {Special issue of Theoretical Computer Science}
}

@InProceedings{NSW06,
  author = {Ng, Keng Meng and Stephan, Frank and Wu, Guohua},
  title = {Degrees of Weakly Computable Reals},
  booktitle = {Logical Approaches to Computational Barriers},
  editor = {Beckmann, A. and Berger, U. and L{\"o}we, B. and Tucker, J.V.},
  year = {2006},
  series = {Lecture Notes in Computer Science},
  volume = {3988},
  pages = {413--422},
  publisher = {Springer},
  address = {Berlin},
  note = {Second Conference on Computability in Europe, CiE 2006, Swansea, UK,
  June 30-July 5, 2006}
}

@InProceedings{Nan08,
  author = {Nandakumar, Satyadev},
  title = {Characterization of Constructive Dimension},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {323--337},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@PhdThesis{Niq04,
  author = {Niqui, Milad},
  title = {Formalizing Exact Arithmetic -- Representations, Algorithms and
  Proofs},
  year = {2004},
  school = {Institute for Programming Research and Algorithmics, University of
  Nijmegen},
  address = {Nijmegen}
}

@InProceedings{Niq05,
  author = {Niqui, Milad},
  title = {Formalising Exact Arithmetic in Type Theory},
  booktitle = {New Computational Paradigms},
  editor = {Cooper, Barry S. and L{\"o}we, Benedikt and Torenvliet, Leen},
  year = {2005},
  series = {Lecture Notes in Computer Science},
  volume = {3526},
  pages = {368--377},
  publisher = {Springer},
  address = {Berlin},
  note = {First Conference on Computability in Europe, CiE 2005, Amsterdam, The
  Netherlands, June 2005}
}

@Article{Niq07a,
  author = {Niqui, Milad},
  title = {Productivity of {E}dalat-{P}otts Exact Arithmetic in Constructive
  Type Theory},
  journal = {Theory of Computing Systems},
  year = {2007},
  volume = {41},
  number = {1},
  pages = {127--154}
}

@Article{Nog66,
  author = {Nogina, Elena Ju.},
  title = {Effectively topological spaces},
  journal = {Dokl. Akad. Nauk SSSR},
  year = {1966},
  volume = {169},
  pages = {28--31}
}

@Article{Nog69,
  author = {Nogina, Elena Ju.},
  title = {Correlations between certain classes of effectively topological
  spaces},
  journal = {Mat. Zametki},
  year = {1969},
  volume = {5},
  pages = {483--495}
}

@Article{Nog78,
  author = {Nogina, Elena Ju.},
  title = {Enumerable topological spaces ({R}ussian)},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1978},
  volume = {24},
  number = {2},
  pages = {141--176}
}

@InCollection{Nog81,
  author = {Nogina, Elena Ju.},
  title = {The relation between separability and traceability of sets
  ({R}ussian)},
  booktitle = {Mathematical logic and mathematical linguistics},
  year = {1981},
  pages = {135--144},
  publisher = {Kalinin. Gos. Univ.},
  address = {Klinin}
}

@Article{Nor02,
  author = {Normann, Dag},
  title = {Exact real number computations relative to hereditarily total
  functionals},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {284},
  number = {2},
  pages = {437--453}
}

@Article{Nor04,
  author = {Normann, Dag},
  title = {Hierarchies of total functionals over the reals},
  journal = {Theoretical Computer Science},
  year = {2004},
  volume = {316},
  pages = {137--151}
}

@Article{Nub72,
  author = {Nuber, J.A.},
  title = {A constructive ergodic theorem},
  journal = {Trans. Amer. Math. Soc.},
  year = {1972},
  volume = {164},
  pages = {115--137}
}

@Article{Nub76,
  author = {Nuber, J.A.},
  title = {Erratum to: ``{A} constructive ergodic theorem''},
  journal = {Trans. Amer. Math. Soc.},
  year = {1976},
  volume = {216},
  pages = {393}
}

@Book{OS75,
  title = {Problems in the constructive trend in mathematics {VI}},
  editor = {Orevkov, V.P. and \v{{S}}anin, N.A.},
  year = {1975},
  publisher = {American Mathematical Society},
  address = {Providence, R.I.},
  note = {Proc. Steklov Inst. Math., 129 (1973)}
}

@InProceedings{OS94,
  author = {Oliveira, W.R. de and Smyth, M.B.},
  title = {Quasimetric {$\Sigma$}-algebras},
  booktitle = {SEMISH'94},
  year = {1994},
  pages = {547--561},
  publisher = {Sociedade Brasileira de Computa\c{c}\~{a}o},
  note = {XXI Seminario Integrado de Software e Hardware, Minas Gerais,
  Brazil}
}

@Article{Oco07,
  author = {O'Connor, Russel},
  title = {A monadic, functional implementation of real numbers},
  journal = {Mathematical Structures in Computer Science},
  year = {2007},
  volume = {17},
  pages = {129--159}
}

@Article{Oli02,
  author = {Oliva, Paulo},
  title = {On the Computational Complexity of Best $L_1$-approximation},
  journal = {Mathematical Logic Quarterly},
  year = {2002},
  volume = {48},
  number = {Suppl. 1},
  pages = {66--77}
}

@PhdThesis{Oli03,
  author = {Oliva, Paulo},
  title = {Proof Mining in Subsystems of Analysis},
  year = {2003},
  school = {Department of Computer Science, University of Aarhus, Denmark},
  address = {Aarhus}
}

@Article{Ore63,
  author = {Orevkov, V.P.},
  title = {A constructive mappping of the square onto itself displacing every
  constructive point ({R}ussian)},
  journal = {Doklady Akademii Nauk},
  year = {1963},
  volume = {152},
  pages = {55--58},
  note = {translated in: Soviet Math. - Dokl., 4 (1963) 1253--1256}
}

@Article{Ore63a,
  author = {Orevkov, V.P.},
  title = {Constructive mappings of polyhedra ({R}ussian)},
  journal = {Doklady Akademii Nauk},
  year = {1963},
  volume = {152},
  pages = {278--281}
}

@Article{Ore64,
  author = {Orevkov, V.P.},
  title = {Certain questions of the theory of polynomials with constructive
  real coefficients ({R}ussian)},
  journal = {Trudy Mat. Inst. Steklov.},
  year = {1964},
  volume = {72},
  pages = {462--487}
}

@Article{Ore64a,
  author = {Orevkov, V.P.},
  title = {On constructive mappings of a circle into itself ({R}ussian)},
  journal = {Trudy Mat. Inst. Steklov.},
  year = {1964},
  volume = {72},
  pages = {437--461}
}

@Article{Ore67,
  author = {Orevkov, V.P.},
  title = {Certain types of continuity of constructive operators ({R}ussian)},
  journal = {Trudy Mat. Inst. Steklov.},
  year = {1967},
  volume = {93},
  pages = {164--186}
}

@Article{Ore67a,
  author = {Orevkov, V.P.},
  title = {Constructive mappings of finite polyhedra ({R}ussian)},
  journal = {Trudy Mat. Inst. Steklov.},
  year = {1967},
  volume = {93},
  pages = {142--163}
}

@Article{Ore69,
  author = {Orevkov, V.P.},
  title = {Certain properties of homeomorphisms of constructive metric spaces
  ({R}ussian)},
  journal = {Zap. Nau\v{c}n. Sem. Leningrad. Otdel. Inst. Steklov.},
  year = {1969},
  volume = {16},
  pages = {157--164}
}

@Article{Ore71,
  author = {Orevkov, V.P.},
  title = {The continuity of constructive functionals ({R}ussian)},
  journal = {Zap. Nau\v{c}n. Sem. Leningrad. Otdel. Inst. Steklov.},
  year = {1971},
  volume = {20},
  pages = {160--169,287}
}

@Article{Ore73,
  author = {Orevkov, V.P.},
  title = {The complexity of the expansion of algebraic irrationalities in
  continued fractions ({R}ussian)},
  journal = {Trudy Mat. Inst. Steklov.},
  year = {1973},
  volume = {129},
  pages = {24--29,267}
}

@Article{Ore74,
  author = {Orevkov, V.P.},
  title = {A new proof of the uniqueness theorem for constructive
  differentiable functions of a complex variable ({R}ussian)},
  journal = {Zap. Nau\v{c}n. Sem. Leningrad. Otdel. Inst. Steklov.},
  year = {1974},
  volume = {40},
  pages = {119--126,159}
}

@Article{PC75,
  author = {Pour-El, Marian and Caldwell, J.},
  title = {On a simple definition of computable functions of a real variable},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1975},
  volume = {21},
  pages = {1--19}
}

@Article{PR78,
  author = {Pour-El, Marian Boykan and Richards, J. Ian},
  title = {Differentiability properties of computable functions - a summary},
  journal = {Acta Cybernetica},
  year = {1978},
  volume = {4},
  pages = {123--125}
}

@Article{PR79,
  author = {Pour-El, Marian Boykan and Richards, J. Ian},
  title = {A computable ordinary differential equation which possesses no
  computable solution},
  journal = {Annals Math.\ Logic},
  year = {1979},
  volume = {17},
  pages = {61--90}
}

@Article{PR81,
  author = {Pour-El, Marian Boykan and Richards, J. Ian},
  title = {The wave equation with computable inital data such that its unique
  solution is not computable},
  journal = {Advances in Math.},
  year = {1981},
  volume = {39},
  pages = {215--239}
}

@Article{PR83,
  author = {Pour-El, Marian Boykan and Richards, J. Ian},
  title = {Computability and noncomputability in classical analysis},
  journal = {Trans.\ Amer.\ Math.\ Soc.},
  year = {1983},
  volume = {275},
  pages = {539--560}
}

@Article{PR83a,
  author = {Pour-El, Marian Boykan and Richards, J. Ian},
  title = {Noncomputability in analysis and physics: a complete determination
  of the class of noncomputable linear operators},
  journal = {Advances in Math.},
  year = {1983},
  volume = {48},
  pages = {44--74}
}

@Article{PR84,
  author = {Pour-El, Marian Boykan and Richards, J. Ian},
  title = {{$L^p$}-computability in recursive analysis},
  journal = {Proceedings of the American Mathematical Society},
  year = {1984},
  volume = {92},
  pages = {93--97}
}

@Article{PR86,
  author = {Pour-El, Marian Boykan and Richards, J. Ian},
  title = {Three theorems on the computability of linear operators, their
  eigenvalues and eigenvectors},
  journal = {S\={u}rikaisekikenky\={u}sho K\={o}ky\={u}roku},
  year = {1986},
  volume = {588},
  pages = {149--161},
  note = {Logic and the foundations of mathematics (Japanese)}
}

@Article{PR87,
  author = {Pour-El, Marian Boykan and Richards, J. Ian},
  title = {The eigenvalues of an effectively determined self-adjoint operator
  are computable, but the sequence of eigenvalues is not},
  journal = {Advances in Math.},
  year = {1987},
  volume = {63},
  pages = {1--41}
}

@Book{PR89,
  author = {Pour-El, Marian B. and Richards, J. Ian},
  title = {Computability in Analysis and Physics},
  year = {1989},
  series = {Perspectives in Mathematical Logic},
  publisher = {Springer},
  address = {Berlin}
}

@InProceedings{PS06,
  author = {Peshev, Peter and Skordev, Dimiter},
  title = {A Subrecursive Refinement of the Fundamental Theorem of Algebra},
  booktitle = {Logical Approaches to Computational Barriers},
  editor = {Beckmann, A. and Berger, U. and L{\"o}we, B. and Tucker, J.V.},
  year = {2006},
  series = {Lecture Notes in Computer Science},
  volume = {3988},
  pages = {435--444},
  publisher = {Springer},
  address = {Berlin},
  note = {Second Conference on Computability in Europe, CiE 2006, Swansea, UK,
  June 30-July 5, 2006}
}

@InProceedings{PZ03,
  author = {Pour-El, Marian and Zhong, Ning},
  title = {Boundary regularity and computability},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus
  and Zhong, Ning},
  year = {2003},
  month = {August},
  series = {Informatik Berichte},
  volume = {302},
  pages = {325--343},
  publisher = {FernUniversit\"at in Hagen},
  note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30,
  2003}
}

@Article{PZ97,
  author = {Pour-El, Marian and Zhong, Ning},
  title = {The Wave Equation with Computable Initial Data Whose Unique Solution
  Is Nowhere Computable},
  journal = {Mathematical Logic Quarterly},
  year = {1997},
  volume = {43},
  number = {4},
  pages = {499--509}
}

@Article{Par03,
  author = {Parker, Matthew W.},
  title = {Undecidability in {$R^n$}: Riddled Basins, the {KAM} Tori, and the
  Stability of the Solar System},
  journal = {Philosophy of Science},
  year = {2003},
  volume = {70},
  pages = {359--382}
}

@Article{Par06,
  author = {Parker, Matthew W.},
  title = {Three concepts of decidability for general subsets of uncountable
  spaces},
  journal = {Theoretical Computer Science},
  year = {2006},
  volume = {351},
  number = {1},
  pages = {2--13}
}

@InProceedings{Pat05,
  author = {Pattinson, Dirk},
  title = {Domain-Theoretic Formulation of Linear Boundary Value Problems},
  booktitle = {New Computational Paradigms},
  editor = {Cooper, Barry S. and L{\"o}we, Benedikt and Torenvliet, Leen},
  year = {2005},
  series = {Lecture Notes in Computer Science},
  volume = {3526},
  pages = {385--395},
  publisher = {Springer},
  address = {Berlin},
  note = {First Conference on Computability in Europe, CiE 2005, Amsterdam, The
  Netherlands, June 2005}
}

@Book{Pet67,
  author = {P{\'{e}}ter, R\'{o}zsa},
  title = {Recursive Functions},
  edition = {3rd},
  year = {1967},
  publisher = {Academic Press},
  address = {New York}
}

@Article{Pla99,
  author = {Plato, Jan von},
  title = {Order in open intervals of computable reals},
  journal = {Mathematical Structures in Computer Science},
  year = {1999},
  volume = {9},
  pages = {103--108}
}

@PhdThesis{Pop03,
  author = {Popa, Gabriela},
  title = {A theoretical constructivisation of mathematical economics},
  year = {2003},
  school = {Department of Mathematics \& Statistics, University of Canterbury},
  address = {Christchurch}
}

@Article{Pot06,
  author = {Potgieter, Petrus H.},
  title = {Zeno machines and hypercomputation},
  journal = {Theoretical Computer Science},
  year = {2006},
  volume = {358},
  number = {1},
  pages = {23--33}
}

@Article{Pou74,
  author = {Pour-El, Marian Boykan},
  title = {Abstract computability and its relation to the general purpose
  analog computer (some connections between logic, differential equations and
  analog computers)},
  journal = {Trans.\ Amer.\ Math.\ Soc.},
  year = {1974},
  volume = {199},
  pages = {1--28}
}

@InProceedings{Pou95,
  author = {Pour-El, Marian Boykan},
  title = {Church's thesis and recursive analysis},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Ko, Ker-I and Weihrauch, Klaus},
  year = {1995},
  month = {September},
  series = {Informatik Berichte},
  volume = {190},
  pages = {115--118},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA Workshop, Hagen, August 19--20, 1995}
}

@InProceedings{Pou98,
  author = {Pour-El, Marian Boykan},
  title = {Some Open Problems in Computable Analysis},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch,
  Klaus and Wiedermann, Ji{\v{r}}{\'{\i}}},
  year = {1998},
  month = {August},
  series = {Informatik Berichte},
  volume = {235},
  pages = {61},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA Workshop, Brno, Czech Republic, August, 1998}
}

@Article{Pou99,
  author = {Pour-El, Marian Boykan},
  title = {From axiomatics to intrinsic characterization: some open problems in
  computable analysis},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {219},
  pages = {319--329}
}

@InProceedings{Pou99a,
  author = {Pour-El, Marian Boykan},
  title = {The structure of computability in analysis and physical theory: An
  extension of {C}hurch's thesis},
  booktitle = {Handbook of Computability Theory},
  editor = {Griffor, Edward R.},
  year = {1999},
  series = {Studies in Logic and the Foundations of Mathematics},
  volume = {140},
  pages = {449--471},
  publisher = {Elsevier},
  address = {Amsterdam}
}

@Article{RB99,
  author = {Richman, Fred and Bridges, Douglas},
  title = {A constructive proof of {G}leason's theorem},
  journal = {Journal of Functional Analysis},
  year = {1999},
  volume = {162},
  number = {2},
  pages = {287--312}
}

@Article{RBCJM81,
  author = {Richman, Fred and Bridges, Douglas and Calder, Allan and Julian,
  William and Mines, Ray},
  title = {Compactly generated {B}anach spaces},
  journal = {Archiv der Mathematik. Archives of Mathematics. Archives
  Math\'ematiques},
  year = {1981},
  volume = {36},
  number = {3},
  pages = {239--243}
}

@Article{RBS02,
  author = {Richman, Fred and Bridges, Douglas and Schuster, Peter},
  title = {Trace-class operators},
  journal = {Houston Journal of Mathematics},
  year = {2002},
  volume = {28},
  number = {3},
  pages = {565--583}
}

@InProceedings{RW02,
  author = {Rettinger, Robert and Weihrauch, Klaus},
  title = {The Computational Complexity of Some {J}ulia Sets},
  booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
  year = {2002},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {66},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {5th International Workshop, CCA 2002, M{\'{a}}laga, Spain, July
  12--13, 2002}
}

@InProceedings{RW03,
  author = {Rettinger, Robert and Weihrauch, Klaus},
  title = {The computational complexity of some {J}ulia sets},
  booktitle = {Proceedings of the 35th Annual {ACM} Symposium on Theory of
  Computing},
  editor = {Goemans, Michel X.},
  year = {2003},
  pages = {177--185},
  publisher = {ACM Press},
  address = {New York},
  note = {San Diego, California, USA, June 9--11, 2003}
}

@InProceedings{RW96,
  author = {Richter, Marcel K. and Wong, Kam-Chau},
  title = {Computable Economic Analysis},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Ko, Ker-I and M\"uller, Norbert and Weihrauch, Klaus},
  year = {1996},
  pages = {81--90},
  publisher = {Universit\"at Trier},
  note = {Second CCA Workshop, Trier, August 22--23, 1996}
}

@Article{RW99,
  author = {Richter, Marcel K. and Wong, Kam-Chau},
  title = {Computable preference and utility},
  journal = {Journal of Mathematical Economics},
  year = {1999},
  volume = {32},
  number = {3},
  pages = {339--354}
}

@Article{RW99a,
  author = {Richter, Marcel K. and Wong, Kam-Chau},
  title = {Non-computability of competitive equilibrium},
  journal = {Economic Theory},
  year = {1999},
  volume = {14},
  number = {1},
  pages = {1--27}
}

@InProceedings{RWZ08,
  author = {Rettinger, Robert and Weihrauch, Klaus and Zhong, Ning},
  title = {Complexity of Blowup Problems – Extended Abstract –},
  booktitle = {{CCA} 2008, Fifth International Conference on Computability and
  Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  pages = {219--230},
  publisher = {Elsevier},
  note = {CCA 2008, Fifth International Conference, Hagen, Germany, August
  21--24, 2008}
}

@InProceedings{RZ01,
  author = {Rettinger, Robert and Zheng, Xizhong},
  title = {Hierarchy of Monotonically Computable Real Numbers},
  booktitle = {Mathematical Foundations of Computer Science 2001},
  editor = {Sgall, Ji{\v{r}}{\'{\i}} and Pultr, Ale{\v{s}} and Kolman, Petr},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2136},
  pages = {633--644},
  publisher = {Springer},
  address = {Berlin},
  note = {26th International Symposium, MFCS 2001, Mari{\'{a}}nsk{\'{e}}
  L{\'{a}}zn{\v{e}}, Czech Republic, August 27-31, 2001}
}

@Article{RZ03,
  author = {Rettinger, Robert and Zheng, Xizhong},
  title = {On the hierarchy and extension of monotonically computable real
  numbers},
  journal = {Journal of Complexity},
  year = {2003},
  volume = {19},
  pages = {672--691}
}

@InProceedings{RZ05,
  author = {Rettinger, Robert and Zheng, Xizhong},
  title = {On the {T}uring Degrees of Divergence Bounded Computable Reals},
  booktitle = {New Computational Paradigms},
  editor = {Cooper, Barry S. and L{\"o}we, Benedikt and Torenvliet, Leen},
  year = {2005},
  series = {Lecture Notes in Computer Science},
  volume = {3526},
  pages = {418--428},
  publisher = {Springer},
  address = {Berlin},
  note = {First Conference on Computability in Europe, CiE 2005, Amsterdam, The
  Netherlands, June 2005}
}

@InProceedings{RZ05b,
  author = {Rettinger, Robert and Zheng, Xizhong},
  title = {Solovay reducibility on d-c.e. real numbers},
  booktitle = {Computing and Combinatorics},
  editor = {Wang, Lusheng},
  year = {2005},
  series = {Lecture Notes in Computer Science},
  volume = {3595},
  pages = {359--368},
  publisher = {Springer},
  address = {Berlin},
  note = {11th Annual International Conference, COCOON 2005, Kunming, China,
  August 16--19, 2005}
}

@Article{RZ06,
  author = {Rettinger, Robert and Zheng, Xizhong},
  title = {A hierarchy of {T}uring degrees of divergence bounded computable
  real numbers},
  journal = {Journal of Complexity},
  year = {2006},
  volume = {22},
  number = {6},
  pages = {818--826}
}

@InProceedings{RZB02,
  author = {Rettinger, Robert and Zheng, Xizhong and von Braunm{\"{u}}hl,
  Burchard},
  title = {Computable Real Functions of Bounded Variation and semi-Computable
  Real Numbers},
  booktitle = {Computing and Combinatorics},
  editor = {Ibarra, Oscar H. and Zhang, Louxin},
  year = {2002},
  series = {Lecture Notes in Computer Science},
  volume = {2387},
  pages = {47--56},
  publisher = {Springer},
  address = {Berlin},
  note = {COCOON 2002, 8th Annual International Conference, August 15--17,
  2002, Singapore}
}

@InProceedings{RZGB01,
  author = {Rettinger, Robert and Zheng, Xizhong and Gengler, Romain and von
  Braunm{\"{u}}hl, Burchard},
  title = {Monotonically Computable Real Numbers},
  booktitle = {Combinatorics, Computability and Logic},
  editor = {Calude, C.S. and Dinneen, M.J. and Sburlan, S.},
  year = {2001},
  series = {Discrete Mathematics and Theoretical Computer Science},
  pages = {187--201},
  publisher = {Springer},
  address = {London},
  note = {Proceedings of DMTCS 2001}
}

@InProceedings{RZGB01a,
  author = {Rettinger, Robert and Zheng, Xizhong and Gengler, Romain and von
  Braunm{\"{u}}hl, Burchard},
  title = {Weakly Computable Real Numbers and Total Computable Real Functions},
  booktitle = {Computing and Combinatorics},
  editor = {Wang, Jie},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2108},
  pages = {586--595},
  publisher = {Springer},
  address = {Berlin},
  note = {7th Annual International Conference, COCOON 2001, Guilin, China,
  August 20-23, 2001}
}

@Article{RZGB02,
  author = {Rettinger, Robert and Zheng, Xizhong and Gengler, Romain and von
  Braunm{\"{u}}hl, Burchard},
  title = {Monotonically Computable Real Numbers},
  journal = {Mathematical Logic Quarterly},
  year = {2002},
  volume = {48},
  number = {3},
  pages = {459--479}
}

@InProceedings{Rai05,
  author = {Raichev, Alexander},
  title = {Relative Randomness and Real Closed Fields},
  booktitle = {Proceedings of the 6th Workshop on Computability and Complexity
  in Analysis},
  editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
  year = {2005},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {120},
  pages = {135--143},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {6th International Workshop, CCA 2004, Wittenberg, Germany, August
  16--20, 2004}
}

@InProceedings{Ret05,
  author = {Rettinger, Robert},
  title = {A fast algorithm for {J}ulia sets of hyperbolic rational functions},
  booktitle = {Proceedings of the 6th Workshop on Computability and Complexity
  in Analysis},
  editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
  year = {2005},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {120},
  pages = {145--157},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {6th International Workshop, CCA 2004, Wittenberg, Germany, August
  16--20, 2004}
}

@InProceedings{Ret07,
  author = {Rettinger, Robert},
  title = {Computable {R}iemann Surfaces},
  booktitle = {Computation and Logic in the Real World},
  editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
  year = {2007},
  series = {Lecture Notes in Computer Science},
  volume = {4497},
  pages = {638--647},
  publisher = {Springer},
  address = {Berlin},
  note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy,
  June 18-23, 2007}
}

@InProceedings{Ret08,
  author = {Rettinger, Robert},
  title = {On the Computability of {B}lochs Constant},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {315--322},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@Article{Ret08a,
  author = {Rettinger, Robert},
  title = {{B}loch's Constant is Computable},
  journal = {Journal of Universal Computer Science},
  year = {2008},
  volume = {14},
  number = {6},
  pages = {896--895}
}

@InProceedings{Ret08b,
  author = {Rettinger, Robert},
  title = {Lower Bounds on the Continuation of Holomorphic Functions},
  booktitle = {{CCA} 2008, Fifth International Conference on Computability and
  Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  pages = {207--217},
  publisher = {Elsevier},
  note = {CCA 2008, Fifth International Conference, Hagen, Germany, August
  21--24, 2008}
}

@InProceedings{Ric01,
  author = {Richardson, Daniel},
  title = {The Uniformity Conjecture},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {253--272},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@Article{Ric02,
  author = {Richman, Fred},
  title = {Omniscience Principles and Functions of Bounded Variation},
  journal = {Mathematical Logic Quarterly},
  year = {2002},
  volume = {48},
  number = {1},
  pages = {111--116}
}

@Article{Ric54,
  author = {Rice, H.},
  title = {Recursive real numbers},
  journal = {Proc.\ Amer.\ Math.\ Soc.},
  year = {1954},
  volume = {5},
  pages = {784--791}
}

@Article{Ric68,
  author = {Richardson, D.B.},
  title = {Some undecidable problems involving elementary functions of a real
  variable},
  journal = {The Journal of Symbolic Logic},
  year = {1968},
  volume = {33},
  pages = {514--520}
}

@Article{Ric90,
  author = {Richman, Fred},
  title = {Polynomials and linear transformations},
  journal = {Linear Algebra and its Applications},
  year = {1990},
  volume = {131},
  number = {1},
  pages = {131--137}
}

@Article{Rob51,
  author = {Robinson, R.M.},
  title = {Review of ``{P}eter, {R}., {R}ekursive {F}unktionen''},
  journal = {The Journal of Symbolic Logic},
  year = {1951},
  volume = {16},
  pages = {280-282}
}

@Article{Ros06,
  author = {Ross, David A.},
  title = {A nonstandard proof of a lemma from constructive measure theory},
  journal = {Mathematical Logic Quarterly},
  year = {2006},
  volume = {52},
  number = {5},
  pages = {494--497}
}

@Article{Ros45,
  author = {Rosenbloom, Paul C.},
  title = {An elementary constructive proof of the fundamental theorem of
  algebra},
  journal = {American Mathematical Monthly},
  year = {1945},
  volume = {52},
  number = {10},
  pages = {562--570}
}

@Proceedings{Ros85,
  title = {{E}rrett {B}ishop: {R}eflections on him and his research},
  editor = {Rosenblatt, M.},
  year = {1985},
  series = {Contemp. Math.},
  volume = {39},
  publisher = {Amer. Math. Soc.},
  address = {Providence}
}

@Proceedings{SBO01,
  title = {Reuniting the Antipodes - Constructive and Nonstandard Views of the
  Continuum},
  editor = {Schuster, Peter and Berger, Ulrich and Osswald, Horst},
  year = {2001},
  series = {Synthese Library},
  volume = {306},
  publisher = {Kluwer Academic Publishers},
  address = {Dordrecht},
  note = {Proceedings of the symposium held in Venice, May 16--22, 1999}
}

@InProceedings{SS01,
  author = {Spreen, Dieter and Schulz, Holger},
  title = {On the equivalence of some approaches to computability on the real
  line},
  booktitle = {Domains and processes},
  editor = {Keimel, Klaus and Zhang, Guo-Qiang and Liu, Ying Ming and Chen,
  Yixiang},
  year = {2001},
  series = {Semantics Structures in Computation},
  volume = {1},
  pages = {67--101},
  publisher = {Kluwer},
  address = {Dordrecht},
  note = {Proceedings of the 1st International Symposium on Domain Theory}
}

@Article{SS05a,
  author = {Sofroniou, Mark and Spaletta, Giulia},
  title = {Precise numerical computation},
  journal = {The Journal of Logic and Algebraic Programming},
  year = {2005},
  volume = {64},
  pages = {113--134}
}

@Article{SS06,
  author = {Schr{\"o}der, Matthias and Simpson, Alex},
  title = {Representing probability measures using probabilistic processes},
  journal = {Journal of Complexity},
  year = {2006},
  volume = {22},
  number = {6},
  pages = {768--782}
}

@Article{SS07,
  author = {Schr{\"o}der, Matthias and Simpson, Alex},
  title = {Two preservation results for countable products of sequential
  spaces},
  journal = {Mathematical Structures in Computer Science},
  year = {2007},
  volume = {17},
  pages = {161--172}
}

@InProceedings{SS08,
  author = {Selivanova, Svetlana and Selivanov, Victor},
  title = {Computing Solutions of Symmetric Hyperbolic Systems of {PDE}’s},
  booktitle = {{CCA} 2008, Fifth International Conference on Computability and
  Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  pages = {243--255},
  publisher = {Elsevier},
  note = {CCA 2008, Fifth International Conference, Hagen, Germany, August
  21--24, 2008}
}

@Article{ST03,
  author = {Stoltenberg-Hansen, Viggo and Tucker, John V.},
  title = {Computable and continuous partial homomorphisms on metric partial
  algebras},
  journal = {Bulletin of Symbolic Logic},
  year = {2003},
  volume = {9},
  number = {3},
  pages = {299--334}
}

@InProceedings{ST95,
  author = {Stoltenberg-Hansen, Viggo and Tucker, John V.},
  title = {Effective Algebras},
  booktitle = {Handbook of Logic in Computer Science, Volume 4},
  editor = {Abramsky, S. and Gabbay, D.M. and Maibaum, T.S.E.},
  year = {1995},
  pages = {357--527},
  publisher = {Clarendon Press},
  address = {Oxford}
}

@Article{ST99,
  author = {Stoltenberg-Hansen, Viggo and Tucker, John V.},
  title = {Concrete models of computation for topological algebras},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {219},
  pages = {347--378}
}

@Article{SV00,
  author = {Spitters, Bas and Veldman, Wim},
  title = {A constructive converse of the mean value theorem},
  journal = {Indagationes Mathematicae, New Series},
  year = {2000},
  volume = {11},
  number = {1},
  pages = {151--157}
}

@InProceedings{SVB01,
  author = {Schuster, Peter and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a and
  Bridges, Douglas},
  title = {Apartness as a Relation Between Subsets},
  booktitle = {Combinatorics, Computability and Logic},
  editor = {Calude, C.S. and Dinneen, M.J. and Sburlan, S.},
  year = {2001},
  series = {Discrete Mathematics and Theoretical Computer Science},
  pages = {203--214},
  publisher = {Springer},
  address = {London},
  note = {Proceedings of DMTCS 2001}
}

@Article{SVB03,
  author = {Schuster, Peter and V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a and
  Bridges, Douglas},
  title = {Strong versus uniform continuity: a constructive round},
  journal = {Quaestiones Mathematicae},
  year = {2003},
  volume = {26},
  number = {2},
  pages = {171--190}
}

@TechReport{SW81,
  author = {Sch\"afer, Giesela and Weihrauch, Klaus},
  title = {Admissible representations of effective cpo-s},
  year = {1981},
  month = {April},
  number = {16},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen}
}

@TechReport{SW92,
  author = {Staiger, Ludwig and Weihrauch, Klaus},
  title = {In the {C}antor space and {B}aire space, {$G_\delta\setminus
  F_\sigma$} is a single {W}adge-degree, an effective proof},
  year = {1992},
  month = {January},
  number = {119},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen}
}

@InProceedings{SY84,
  author = {Spreen, Dieter and Young, Paul},
  title = {Effective operators in a topological setting},
  booktitle = {Computation and Proof Theory},
  editor = {Richter, M.M. and B\"orger, E. and Oberschelp, W. and Schinzel, B.
  and Thomas, W.},
  year = {1984},
  series = {Lecture Notes in Mathematics},
  volume = {1104},
  pages = {437--451},
  publisher = {Springer},
  address = {Berlin},
  note = {Proceedings of the Logic Colloquium, Aachen, July 18--23, 1983, Part
  II}
}

@Article{Sam03,
  author = {Sambin, Giovanni},
  title = {Some points in formal topology},
  journal = {Theoretical Computer Science},
  year = {2003},
  volume = {305},
  pages = {347--408}
}

@InProceedings{Sam07,
  author = {Sambin, Giovanni},
  title = {Doing Without {T}uring Machines: Constructivism and Formal
  Topology},
  booktitle = {Computation and Logic in the Real World},
  editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
  year = {2007},
  series = {Lecture Notes in Computer Science},
  volume = {4497},
  pages = {674--675},
  publisher = {Springer},
  address = {Berlin},
  note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy,
  June 18-23, 2007}
}

@Article{San02,
  author = {{\v{S}}anin, N.A.},
  title = {On a finitary version of mathematical analysis},
  journal = {Annals of Pure and Applied Logic},
  year = {2002},
  volume = {113},
  pages = {261--295}
}

@Article{San56,
  author = {{\v{S}}anin, N.A.},
  title = {Some problems of mathematical analysis in the light of constructive
  logic},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1956},
  volume = {2},
  pages = {27--36}
}

@Book{San68,
  author = {{\v{S}}anin, N.A.},
  title = {Constructive Real Numbers and Constructive Function Spaces},
  year = {1968},
  series = {Translations of Mathematical Monographs},
  volume = {21},
  publisher = {American Mathematical Society},
  address = {Providence}
}

@Article{San73,
  author = {{\v{S}}anin, N.A.},
  title = {A hierarchy of ways of understanding judgments in constructive
  mathematics ({R}ussian)},
  journal = {Trudy Mat. Inst. Steklov.},
  year = {1973},
  series = {Problems in the Constructive Trend in Mathematics, 6},
  volume = {129},
  pages = {203--266}
}

@Article{San74,
  author = {{\v{S}}anin, N.A.},
  title = {The hierarchy of constructive {B}rouwer functionals ({R}ussian)},
  journal = {Zap. Nau\v{c}n. Sem. Otdel. Mat. Inst. Steklov.},
  year = {1974},
  series = {Ivestigations in Constructive Mathematics and Mathematical Logic,
  {VI}},
  volume = {40},
  pages = {142--147},
  note = {dedicated to A.A. Markov on the occasion of his seventieth birthday}
}

@Article{San79,
  author = {{\v{S}}anin, N.A.},
  title = {Canonical recursive functions and operations ({R}ussian)},
  journal = {Zap. Nau\v{c}n. Sem. Otdel. Mat. Inst. Steklov.},
  year = {1979},
  series = {Studies in Constructive Mathematics and Mathematical Logic,
  {VIII}},
  volume = {88},
  pages = {218--235,246--247}
}

@Article{San95,
  author = {{\v{S}}anin, N.A.},
  title = {Georg {C}antor as the author of constructions that play fundamental
  roles in constructive mathematics ({R}ussian)},
  journal = {Zap. Nau\v{c}n. Sem. Otdel. Mat. Inst. Steklov. POMI},
  year = {1995},
  series = {Issled. po Konstrukt. Mat. i Logike. {IX}},
  volume = {220},
  pages = {5--22,246--145}
}

@Article{Sce84,
  author = {{\v{S}}{\v{c}}edrov, A.},
  title = {Differential equations in constructive analysis and in the recursive
  realizability topos},
  journal = {J. Pure Appl. Algebra},
  year = {1984},
  volume = {33},
  pages = {69--80}
}

@Article{Sce86,
  author = {{\v{S}}{\v{c}}edrov, A.},
  title = {Diagonalization of continuous matrices as a representation of
  intuitionistic reals},
  journal = {Annals of Pure and Applied Logic},
  year = {1986},
  volume = {30},
  pages = {201--206}
}

@Article{Sch00a,
  author = {Schuster, Peter},
  title = {A constructive look at generalized {C}auchy reals},
  journal = {Mathematical Logic Quarterly},
  year = {2000},
  volume = {46},
  number = {1},
  pages = {125--134}
}

@InProceedings{Sch00c,
  author = {Schuster, Peter},
  title = {Elementary choiceless constructive analysis},
  booktitle = {Computer Science Logic},
  editor = {Clote, Peter G. and Schwichtenberg, Helmut},
  year = {2000},
  series = {Lecture Notes in Computer Science},
  volume = {1862},
  pages = {512--526},
  publisher = {Springer},
  address = {Berlin},
  note = {14th International Workshop, CSL 2000, Fischbachau, Germany, August
  21--26, 2000}
}

@InProceedings{Sch01,
  author = {Schr{\"o}der, Matthias},
  title = {Admissible Representations of Limit Spaces},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {273--295},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@Article{Sch02,
  author = {Schr{\"o}der, Matthias},
  title = {Extended admissibility},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {284},
  number = {2},
  pages = {519--538}
}

@InProceedings{Sch02a,
  author = {Schr{\"o}der, Matthias},
  title = {A Natural Weak Limit Space with Admissible Representation which is
  not a Limit Space},
  booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
  year = {2002},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {66},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {5th International Workshop, CCA 2002, M{\'{a}}laga, Spain, July
  12--13, 2002}
}

@Article{Sch02b,
  author = {Schr{\"o}der, Matthias},
  title = {Effectivity in Spaces with Admissible Multirepresentations},
  journal = {Mathematical Logic Quarterly},
  year = {2002},
  volume = {48},
  number = {Suppl. 1},
  pages = {78--90}
}

@PhdThesis{Sch02c,
  author = {Schr{\"o}der, Matthias},
  title = {Admissible Representations for Continuous Computations},
  year = {2002},
  school = {Fachbereich Informatik},
  address = {FernUniversit\"{a}t Hagen}
}

@Article{Sch03a,
  author = {Schuster, Peter M.},
  title = {Unique existence, approximate solutions, and countable choice},
  journal = {Theoretical Computer Science},
  year = {2003},
  volume = {305},
  pages = {433--455}
}

@InProceedings{Sch03b,
  author = {Schr\"oder, Matthias},
  title = {Spaces allowing type-2 complexity theory revisited},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus
  and Zhong, Ning},
  year = {2003},
  month = {August},
  series = {Informatik Berichte},
  volume = {302},
  pages = {345--361},
  publisher = {FernUniversit\"at in Hagen},
  note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30,
  2003}
}

@Article{Sch04,
  author = {Schr\"oder, Matthias},
  title = {Spaces allowing Type-2 Complexity Theory revisited},
  journal = {Mathematical Logic Quarterly},
  year = {2004},
  volume = {50},
  number = {4,5},
  pages = {443--459}
}

@Article{Sch05,
  author = {Schuster, Peter},
  title = {What is Continuity, Constructively?},
  journal = {Journal of Universal Computer Science},
  year = {2005},
  volume = {11},
  number = {12},
  pages = {2076--2085}
}

@Article{Sch05a,
  author = {Schwichtenberg, Helmut},
  title = {A Direct Proof of the Equivalence between {B}rouwer's Fan Theorem
  and {K}{\"o}nig's Lemma with a Uniqueness Hypothesis},
  journal = {Journal of Universal Computer Science},
  year = {2005},
  volume = {11},
  number = {12},
  pages = {2086--2095}
}

@InProceedings{Sch06,
  author = {Schr\"oder, Matthias},
  title = {Admissible Representations in Computable Analysis},
  booktitle = {Logical Approaches to Computational Barriers},
  editor = {Beckmann, A. and Berger, U. and L{\"o}we, B. and Tucker, J.V.},
  year = {2006},
  series = {Lecture Notes in Computer Science},
  volume = {3988},
  pages = {471--480},
  publisher = {Springer},
  address = {Berlin},
  note = {Second Conference on Computability in Europe, CiE 2006, Swansea, UK,
  June 30-July 5, 2006}
}

@InProceedings{Sch06a,
  author = {Schwichtenberg, Helmut},
  title = {Inverting Monotone Continuous Functions in Constructive Analysis},
  booktitle = {Logical Approaches to Computational Barriers},
  editor = {Beckmann, A. and Berger, U. and L{\"o}we, B. and Tucker, J.V.},
  year = {2006},
  series = {Lecture Notes in Computer Science},
  volume = {3988},
  pages = {490--504},
  publisher = {Springer},
  address = {Berlin},
  note = {Second Conference on Computability in Europe, CiE 2006, Swansea, UK,
  June 30-July 5, 2006}
}

@Article{Sch06c,
  author = {Schuster, Peter},
  title = {Unique solutions},
  journal = {Mathematical Logic Quarterly},
  year = {2006},
  volume = {52},
  number = {6},
  pages = {534--539}
}

@InProceedings{Sch07,
  author = {Schr{\"o}der, Matthias},
  title = {Admissible representations of probability measures},
  booktitle = {Proceedings of the Third International Conference on
  Computability and Complexity in Analysis},
  editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
  Klaus},
  year = {2007},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {167},
  pages = {61--78},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2006, Gainesville, Florida, USA, November 1--5, 2006}
}

@InProceedings{Sch07a,
  author = {Schuster, Peter},
  title = {Problems as Solutions},
  booktitle = {Computation and Logic in the Real World},
  editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
  year = {2007},
  series = {Lecture Notes in Computer Science},
  volume = {4497},
  pages = {676--684},
  publisher = {Springer},
  address = {Berlin},
  note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy,
  June 18-23, 2007}
}

@Article{Sch07b,
  author = {Schr{\"o}der, Matthias},
  title = {Admissible representations for probability measures},
  journal = {Mathematical Logic Quarterly},
  year = {2007},
  volume = {53},
  number = {4--5},
  pages = {431--445}
}

@InProceedings{Sch08,
  author = {Schr\"oder, Matthias},
  title = {On the Relationship between Filter Spaces and Weak Limit Spaces},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {267--277},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@Article{Sch08a,
  author = {Schr\"{o}der, Matthias},
  title = {On the Relationship between Filter Spaces and Weak Limit Spaces},
  journal = {Journal of Universal Computer Science},
  year = {2008},
  volume = {14},
  number = {6},
  pages = {996--1015}
}

@InProceedings{Sch08b,
  author = {Schr\"{o}der, Matthias},
  title = {An Effective {T}ietze-{U}rysohn Theorem for {QCB}-Spaces (Extended
  Abstract)},
  booktitle = {{CCA} 2008, Fifth International Conference on Computability and
  Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  pages = {231--242},
  publisher = {Elsevier},
  note = {CCA 2008, Fifth International Conference, Hagen, Germany, August
  21--24, 2008}
}

@Article{Sch71a,
  author = {Schnorr, Claus Peter},
  title = {Komplexit{\"a}t von {A}lgorithmen mit {A}nwendung auf die
  {A}nalysis},
  journal = {Archiv f{\"u}r {M}athematische {L}ogik und {G}rundlagenforschung},
  year = {1971},
  volume = {14},
  pages = {54--68}
}

@InProceedings{Sch95,
  author = {Schr\"oder, Matthias},
  title = {Topological spaces allowing type 2 complexity theory},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Ko, Ker-I and Weihrauch, Klaus},
  year = {1995},
  month = {September},
  series = {Informatik Berichte},
  volume = {190},
  pages = {41--53},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA Workshop, Hagen, August 19--20, 1995}
}

@TechReport{Sch95a,
  author = {Schr\"oder, Matthias},
  title = {Welche topologischen {R}\"aume erlauben
  {T}yp2-{K}om\-ple\-xi\-t\"ats\-theorie?},
  year = {1995},
  month = {May},
  number = {178},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen}
}

@InProceedings{Sch97,
  author = {Schr\"oder, Matthias},
  title = {Fast Online Multiplication of Real Numbers},
  booktitle = {STACS 97},
  editor = {Reischuk, R{\"u}diger and Morvan, Michel},
  year = {1997},
  series = {Lecture Notes in Computer Science},
  volume = {1200},
  pages = {81--92},
  publisher = {Springer},
  address = {Berlin},
  note = {14th Annual Symposium on Theoretical Aspects of Computer Science,
  L{\"u}beck, Germany, February 27--March 1, 1997}
}

@InProceedings{Sch98,
  author = {Schr\"oder, Matthias},
  title = {Effective Metrization of Regular Spaces},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch,
  Klaus and Wiedermann, Ji{\v{r}}{\'{\i}}},
  year = {1998},
  month = {August},
  series = {Informatik Berichte},
  volume = {235},
  pages = {63--80},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA Workshop, Brno, Czech Republic, August, 1998}
}

@InProceedings{Sch98a,
  author = {Schulz, Holger},
  title = {Type 2 Theory of Effectivity and Real {PCF}},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch,
  Klaus and Wiedermann, Ji{\v{r}}{\'{\i}}},
  year = {1998},
  month = {August},
  series = {Informatik Berichte},
  volume = {235},
  pages = {81--90},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA Workshop, Brno, Czech Republic, August, 1998}
}

@Article{Sch99,
  author = {Schr{\"o}der, Matthias},
  title = {Online computations of differentiable functions},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {219},
  pages = {331--345}
}

@InProceedings{Sel05,
  author = {Selivanov, Victor L.},
  title = {Variations on {W}adge Reducibility (Extended Abstract)},
  booktitle = {Proceedings of the 6th Workshop on Computability and Complexity
  in Analysis},
  editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
  year = {2005},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {120},
  pages = {159--171},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {6th International Workshop, CCA 2004, Wittenberg, Germany, August
  16--20, 2004}
}

@Article{Sel05a,
  author = {Selivanov, Victor L.},
  title = {Hierarchies in $\varphi$-spaces and applications},
  journal = {Mathematical Logic Quarterly},
  year = {2005},
  volume = {51},
  number = {1},
  pages = {45--61}
}

@Article{Sel05b,
  author = {Selivanov, Victor L.},
  title = {Variations on the {W}adge reducibility},
  journal = {Siberian Advances in Math.},
  year = {2005},
  volume = {15},
  number = {3},
  pages = {44--80}
}

@Article{Sel05c,
  author = {Selivanov, Victor L.},
  title = {Classifying countable {B}oolean terms},
  journal = {Algebra and Logic},
  year = {2005},
  volume = {44},
  number = {2},
  pages = {95--108}
}

@Article{Sel07,
  author = {Selivanov, Victor L.},
  title = {Hierarchies of $\Delta^0_2$--measurable $k$--partitions},
  journal = {Mathematical Logic Quarterly},
  year = {2007},
  volume = {53},
  number = {4--5},
  pages = {446--461}
}

@InProceedings{Sel08,
  author = {Selivanov, Victor},
  title = {On the {W}adge Reducibility of $k$-Partitions},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {59--71},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@InProceedings{Sel08a,
  author = {Selivanov, Victor},
  title = {On the Difference Hierarchy in Countably Based $T_0$-Spaces},
  booktitle = {{CCA} 2008, Fifth International Conference on Computability and
  Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  pages = {257--269},
  publisher = {Elsevier},
  note = {CCA 2008, Fifth International Conference, Hagen, Germany, August
  21--24, 2008}
}

@Article{She76,
  author = {Shepherdson, J.C.},
  title = {On the definition of computable function of a real variable},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1976},
  volume = {22},
  pages = {391--402}
}

@Article{Sim05,
  author = {Simonsen, Jakob G.},
  title = {Specker sequences revisited},
  journal = {Mathematical Logic Quarterly},
  year = {2005},
  volume = {51},
  number = {5},
  pages = {532--540}
}

@Article{Sim06,
  author = {Simonsen, Jakob G.},
  title = {On local non-compactness in recursive mathematics},
  journal = {Mathematical Logic Quarterly},
  year = {2006},
  volume = {52},
  number = {4},
  pages = {323--330}
}

@Article{Sim07,
  author = {Simpson, Stephen G.},
  title = {Almost everywhere domination and superhighness},
  journal = {Mathematical Logic Quarterly},
  year = {2007},
  volume = {53},
  number = {4--5},
  pages = {462--482}
}

@Article{Sim07a,
  author = {Simpson, Stephen G.},
  title = {Mass problems and almost everywhere domination},
  journal = {Mathematical Logic Quarterly},
  year = {2007},
  volume = {53},
  number = {4--5},
  pages = {483--492}
}

@Article{Ska83,
  author = {Skandalis, Kostas},
  title = {Programmability in the set of real numbers and second-order
  recursion},
  journal = {Fundamenta Informaticae},
  year = {1983},
  volume = {6},
  number = {3--4},
  pages = {257--274}
}

@Article{Ska84,
  author = {Skandalis, Kostas},
  title = {Programmable real numbers and functions},
  journal = {Fundamenta Informaticae},
  year = {1984},
  volume = {7},
  number = {1},
  pages = {27--56}
}

@Article{Ska90,
  author = {Skandalis, Kostas},
  title = {Non-Recursiveness of the Operations on Real Numbers},
  journal = {Theoretical Computer Science},
  year = {1990},
  volume = {71},
  pages = {425--429}
}

@InProceedings{Ska95,
  author = {Skandalis, Kostas},
  title = {Program computability over the real numbers},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Ko, Ker-I and Weihrauch, Klaus},
  year = {1995},
  month = {September},
  series = {Informatik Berichte},
  volume = {190},
  pages = {55--63},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA Workshop, Hagen, August 19--20, 1995}
}

@InProceedings{Sko01,
  author = {Skordev, Dimiter},
  title = {Characterization of the Computable Real Numbers by Means of
  Primitive Recursive Functions},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {296--309},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@Article{Sko02,
  author = {Skordev, Dimiter},
  title = {Computability of Real Numbers by Using a Given Class of Functions in
  the Set of Natural Numbers},
  journal = {Mathematical Logic Quarterly},
  year = {2002},
  volume = {48},
  number = {Suppl. 1},
  pages = {91--106}
}

@Article{Sko04,
  author = {Skordev, Dimiter},
  title = {Some subrecursive versions of {G}rzegorczyk's {U}niformity
  {T}heorem},
  journal = {Mathematical Logic Quarterly},
  year = {2004},
  volume = {50},
  number = {4,5},
  pages = {520--524}
}

@InProceedings{Sko08,
  author = {Skordev, Dimiter},
  title = {$\mathcal{E}^2$-computability of $e$, $\pi$ and other famous
  constants},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {37--47},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@Article{Sko08a,
  author = {Skordev, Dimiter},
  title = {On the Subrecursive Computability of Several Famous Constants},
  journal = {Journal of Universal Computer Science},
  year = {2008},
  volume = {14},
  number = {6},
  pages = {861--875}
}

@Article{Sli64,
  author = {Slisenko, A.O.},
  title = {Examples of a nondiscontinuous but not continuous constructive
  operator in a metric space},
  journal = {Trudy Mat.\ Inst.\ Steklov},
  year = {1964},
  volume = {72},
  pages = {524--532},
  note = {(in Russian, English trans. in AMS Trans. 100, 1972)}
}

@Article{Soa69,
  author = {Soare, R.I.},
  title = {Recursion theory and {D}edekind cuts},
  journal = {Trans.\ Amer.\ Math.\ Soc.},
  year = {1969},
  volume = {140},
  pages = {271--294}
}

@Article{Soa69a,
  author = {Soare, R.I.},
  title = {Cohesive sets and recursively enumerable {D}edekind cuts},
  journal = {Pacific J.\ Math.},
  year = {1969},
  volume = {31},
  pages = {215--231}
}

@InProceedings{Spa07,
  author = {Spandl, Christoph},
  title = {Computing the topological entropy of shifts},
  booktitle = {Proceedings of the Third International Conference on
  Computability and Complexity in Analysis},
  editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
  Klaus},
  year = {2007},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {167},
  pages = {131--155},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2006, Gainesville, Florida, USA, November 1--5, 2006}
}

@Article{Spa07a,
  author = {Spandl, Christoph},
  title = {Computing the topological entropy of shifts},
  journal = {Mathematical Logic Quarterly},
  year = {2007},
  volume = {53},
  number = {4--5},
  pages = {493--510}
}

@InProceedings{Spa08,
  author = {Spandl, Christoph},
  title = {Computability of Topological Pressure for Shifts of Finite Type with
  Applications in Statistical Physics},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {385--401},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@Article{Spa08a,
  author = {Spandl, Christoph},
  title = {Computability of Topological Pressure for Sofic Shifts with
  Applications in Statistical Physics},
  journal = {Journal of Universal Computer Science},
  year = {2008},
  volume = {14},
  number = {6},
  pages = {876--895}
}

@Article{Spe49,
  author = {Specker, Ernst},
  title = {Nicht konstruktiv beweisbare {S}\"atze der {A}nalysis},
  journal = {The Journal of Symbolic Logic},
  year = {1949},
  volume = {14},
  number = {3},
  pages = {145--158}
}

@InProceedings{Spe59,
  author = {Specker, Ernst},
  title = {Der {S}atz vom {M}aximum in der rekursiven {A}nalysis},
  booktitle = {Constructivity in mathematics},
  editor = {Heyting, A.},
  year = {1959},
  series = {Studies in Logic and the Foundations of Mathematics},
  pages = {254--265},
  publisher = {North-Holland},
  address = {Amsterdam},
  note = {Proc. Colloq., Amsterdam, Aug. 26--31, 1957}
}

@InProceedings{Spe69,
  author = {Specker, Ernst},
  title = {The fundamental theorem of algebra in recursive analysis},
  booktitle = {Constructive Aspects of the Fundamental Theorem of Algebra},
  editor = {Dejon, B.\ and Henrici, P.},
  year = {1969},
  pages = {321--329},
  publisher = {Wiley-Interscience},
  address = {London}
}

@Article{Spi02,
  author = {Spitters, Bas},
  title = {Located Operators},
  journal = {Mathematical Logic Quarterly},
  year = {2002},
  volume = {48},
  number = {Suppl. 1},
  pages = {107--122}
}

@PhdThesis{Spi02a,
  author = {Spitters, Bas},
  title = {Constructive and intuitionistic integration theory and functional
  analysis},
  year = {2002},
  school = {University of Nijmegen}
}

@Article{Spi05,
  author = {Spitters, Bas},
  title = {Constructive Results on Operator Algebras},
  journal = {Journal of Universal Computer Science},
  year = {2005},
  volume = {11},
  number = {12},
  pages = {2096--2113}
}

@Article{Spi06,
  author = {Spitters, Bas},
  title = {A constructive view on ergodic theorems},
  journal = {The Journal of Symbolic Logic},
  year = {2006},
  volume = {71},
  number = {2},
  pages = {611--623}
}

@Article{Spr01,
  author = {Spreen, Dieter},
  title = {Representations versus numberings: on the relationship of two
  computability notions},
  journal = {Theoretical Computer Science},
  year = {2001},
  volume = {262},
  pages = {473--499}
}

@Article{Spr01a,
  author = {Spreen, Dieter},
  title = {Can partial indexings be totalized?},
  journal = {The Journal of Symbolic Logic},
  year = {2001},
  volume = {66},
  number = {3},
  pages = {1157--1185}
}

@Article{Spr05,
  author = {Spreen, Dieter},
  title = {Strong reducibilities for partial numberings},
  journal = {Archive for Mathematical Logic},
  year = {2005},
  volume = {44},
  number = {3},
  pages = {209--217}
}

@InProceedings{Spr08,
  author = {Spreen, Dieter},
  title = {On the Continuity of Effective Multifunctions},
  booktitle = {{CCA} 2008, Fifth International Conference on Computability and
  Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  pages = {271--286},
  publisher = {Elsevier},
  note = {CCA 2008, Fifth International Conference, Hagen, Germany, August
  21--24, 2008}
}

@InProceedings{Spr88,
  author = {Spreen, Dieter},
  title = {Computable one-to-one enumerations of effective domains},
  booktitle = {Mathematical foundations of programming language semantics},
  editor = {Main, M. and Melton, A. and Mislove, M. and Schmidt, D.},
  year = {1988},
  series = {Lecture Notes in Computer Science},
  volume = {298},
  pages = {372--384},
  publisher = {Springer},
  address = {Berlin}
}

@InProceedings{Spr90,
  author = {Spreen, Dieter},
  title = {A characterization of effective topological spaces},
  booktitle = {Recursion theory week},
  editor = {Ambos-Spies, K. and M{\"u}ller, G. H. and Sacks, G. E.},
  year = {1990},
  series = {Lecture Notes in Mathematics},
  volume = {1432},
  pages = {363--387},
  publisher = {Springer},
  address = {Berlin},
  note = {Proceedings of the conference held at the Mathematisches
  Forschungsinstitut, Oberwolfach, March 19--25, 1989}
}

@Article{Spr90a,
  author = {Spreen, Dieter},
  title = {Computable one-to-one enumerations of effective domains},
  journal = {Information and Computation},
  year = {1990},
  volume = {84},
  pages = {26--46}
}

@InProceedings{Spr91,
  author = {Spreen, Dieter},
  title = {A characterization of effective topological spaces {II}},
  booktitle = {Topology and category theory in computer science},
  year = {1991},
  pages = {231--255},
  publisher = {Oxford Univ. Press},
  address = {New York},
  note = {Oxford, 1989}
}

@InProceedings{Spr92,
  author = {Spreen, Dieter},
  title = {Effective operators and continuity revisited},
  booktitle = {Logical foundations of computer science},
  editor = {Nerode, A. and Ta{\u\i}tslin, M.},
  year = {1992},
  series = {Lecture Notes in Computer Science},
  volume = {620},
  pages = {459--469},
  publisher = {Springer},
  address = {Berlin}
}

@Article{Spr95,
  author = {Spreen, Dieter},
  title = {On Some Decision Problems in Programming},
  journal = {Information and Computation},
  year = {1995},
  volume = {122},
  number = {1},
  pages = {120--139},
  note = {(Corrigendum: Inform. and Comp. 148, 241--244, 1999)}
}

@Article{Spr96,
  author = {Spreen, Dieter},
  title = {Effective inseparability in a topological setting},
  journal = {Annals of Pure and Applied Logic},
  year = {1996},
  volume = {80},
  pages = {257--275}
}

@Article{Spr98,
  author = {Spreen, Dieter},
  title = {On Effective Topological Spaces},
  journal = {The Journal of Symbolic Logic},
  year = {1998},
  volume = {63},
  number = {1},
  pages = {185--221}
}

@Article{Sta02,
  author = {Staiger, Ludwig},
  title = {How Large is the Set of Disjunctive Sequences ?},
  journal = {Journal of Universal Computer Science},
  year = {2002},
  volume = {8},
  number = {2},
  pages = {348--362}
}

@Article{Sta02a,
  author = {Staiger, Ludwig},
  title = {The {K}olmogorov complexity of real numbers},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {284},
  number = {2},
  pages = {455--466}
}

@InProceedings{Sta08,
  author = {Staiger, Ludwig},
  title = {On Oscillation-free $\varepsilon$-random Sequences},
  booktitle = {{CCA} 2008, Fifth International Conference on Computability and
  Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  pages = {287--297},
  publisher = {Elsevier},
  note = {CCA 2008, Fifth International Conference, Hagen, Germany, August
  21--24, 2008}
}

@InProceedings{Sta99,
  author = {Staiger, Ludwig},
  title = {The {K}olmogorov Complexity of Real Numbers},
  booktitle = {Fundamentals of Computation Theory},
  editor = {Ciobanu, G. and Paun, Gh.},
  year = {1999},
  series = {Lecture Notes in Computer Science},
  volume = {1684},
  pages = {536--546},
  publisher = {Springer},
  address = {Berlin}
}

@PhdThesis{Ste99,
  author = {Stewart, Kristian Jon},
  title = {Concrete and Abstract Models of Computation over Metric Algebras},
  year = {1999},
  school = {University of Wales Swansea},
  address = {Singleton Park, Swansea, SA2 8PP, UK}
}

@PhdThesis{Sun94,
  author = {S{\"u}nderhauf, Philipp},
  title = {Discrete Approximation of Spaces, A Uniform Approach to
  Topologically Structured Datatypes and their Function Spaces},
  year = {1994},
  school = {Fachbereich Mathematik, Technische Hochschule Darmstadt},
  address = {Darmstadt, Germany}
}

@Article{Sun95,
  author = {S{\"u}nderhauf, Philipp},
  title = {A faithful computational model of the real numbers},
  journal = {Theoretical Computer Science},
  year = {1995},
  volume = {151},
  pages = {277--294}
}

@Article{Swa76,
  author = {de Swart, H.},
  title = {Elements of Intuitionistic Analysis. {R}olle's Theorem and Complete,
  Totally bounded, Metric Spaces},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1976},
  volume = {22},
  number = {1},
  pages = {289--298}
}

@Article{Swa76a,
  author = {de Swart, H.},
  title = {Elements of Intuitionistic Analysis {II} the {S}tone-{W}eierstrass
  Theorem and {A}scoli's Theorem},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1976},
  volume = {22},
  number = {1},
  pages = {501--508}
}

@Book{TD88,
  author = {Troelstra, A.S. and Dalen, D. van},
  title = {Constructivism in Mathematics, Volume 1},
  year = {1988},
  series = {Studies in Logic and the Foundations of Mathematics},
  volume = {121},
  publisher = {North-Holland},
  address = {Amsterdam}
}

@Book{TD88a,
  author = {Troelstra, A.S. and Dalen, D. van},
  title = {Constructivism in Mathematics, Volume 2},
  year = {1988},
  series = {Studies in Logic and the Foundations of Mathematics},
  volume = {123},
  publisher = {North-Holland},
  address = {Amsterdam}
}

@InProceedings{TY08,
  author = {Tsuiki, Hideki and Yamada, Shuji},
  title = {On Finite-time Computability Preserving Conversions},
  booktitle = {{CCA} 2008, Fifth International Conference on Computability and
  Complexity in Analysis},
  editor = {Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
  Angela},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {221},
  pages = {299--308},
  publisher = {Elsevier},
  note = {CCA 2008, Fifth International Conference, Hagen, Germany, August
  21--24, 2008}
}

@InProceedings{TYM01,
  author = {Tsujii, Yoshiki and Yasugi, Mariko and Mori, Takakazu},
  title = {Some Properties of the Effective Uniform Topological Space},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {336--356},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@InProceedings{TYM05,
  author = {Tsujii, Yoshiki and Yasugi, Mariko and Mori, Takakazu},
  title = {Sequential Computability of a Function: Diagonal Space and Limiting
  Recursion},
  booktitle = {Proceedings of the 6th Workshop on Computability and Complexity
  in Analysis},
  editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
  year = {2005},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {120},
  pages = {187--199},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {6th International Workshop, CCA 2004, Wittenberg, Germany, August
  16--20, 2004}
}

@InProceedings{TZ00,
  author = {Tucker, J.V. and Zucker, J.I.},
  title = {Computable Functions and Semicomputable Sets on Many-Sorted
  Algebras},
  booktitle = {Handbook of Logic in Computer Science, Volume 5},
  editor = {Abramsky, S. and Gabbay, D.M. and Maibaum, T.S.E.},
  year = {2000},
  pages = {317--523},
  publisher = {Oxford University Press},
  address = {Oxford}
}

@Article{TZ02,
  author = {Tucker, J.V. and Zucker, J.I.},
  title = {Abstract computability and algebraic specification},
  journal = {ACM Transactions on Computational Logic},
  year = {2002},
  volume = {3},
  number = {2},
  pages = {279--333}
}

@Article{TZ04,
  author = {Tucker, J.V. and Zucker, J.I.},
  title = {Abstract versus concrete computation on metric partial algebras},
  journal = {ACM Transactions on Computational Logic},
  year = {2004},
  volume = {5},
  number = {4},
  pages = {611--668}
}

@Article{TZ05,
  author = {Tucker, J.V. and Zucker, J.I.},
  title = {Computable total functions on metric algebras, universal algebraic
  specifications and dynamical systems},
  journal = {The Journal of Logic and Algebraic Programming},
  year = {2005},
  volume = {62},
  pages = {71--108}
}

@InProceedings{TZ05a,
  author = {Tucker, John V. and Zucker, Jeffery I.},
  title = {A Network Model of Analogoue Computation over Metric Algebras},
  booktitle = {New Computational Paradigms},
  editor = {Cooper, Barry S. and L{\"o}we, Benedikt and Torenvliet, Leen},
  year = {2005},
  series = {Lecture Notes in Computer Science},
  volume = {3526},
  pages = {515--529},
  publisher = {Springer},
  address = {Berlin},
  note = {First Conference on Computability in Europe, CiE 2005, Amsterdam, The
  Netherlands, June 2005}
}

@Article{TZ07,
  author = {Tucker, John V. and Zucker, Jeffery I.},
  title = {Computability of analog networks},
  journal = {Theoretical Computer Science},
  year = {2007},
  volume = {371},
  number = {1--2},
  pages = {115--146}
}

@InProceedings{TZ92,
  author = {Tucker, J.V. and Zucker, J.I.},
  title = {Examples of semicomputable sets of real and complex numbers},
  booktitle = {Constructivity in computer science},
  editor = {Myers, J.P. and O'Donnell, M.J.},
  year = {1992},
  pages = {179--198},
  publisher = {Springer},
  address = {Berlin},
  note = {Summer Symposium San Antonio, TX, June 19--22, 1991}
}

@Article{TZ99,
  author = {Tucker, J.V. and Zucker, J.I.},
  title = {Computation by `{W}hile' Programs on Topological Partial Algebras},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {219},
  pages = {379--420}
}

@InProceedings{Tad03,
  author = {Tadaki, Kohtaro},
  title = {Upper bound by {K}olmogorov complexity for the probability in
  computable quantum measurement},
  booktitle = {RNC'5 Real Numbers and Computers},
  editor = {Daumas, Marc et al.},
  year = {2003},
  pages = {193--214},
  organization = {INRIA, Institut National de Recherche en Informatique et en
  Automatique},
  note = {Lyon, September 3--5, 2003}
}

@InProceedings{Tad04,
  author = {Tadaki, Kohtaro},
  title = {An extension of {C}haitin's halting probability $\Omega$ to
  measurement operator in infinite dimensional quantum system},
  booktitle = {RNC'6 Real Numbers and Computers},
  editor = {Frougny, Christiane and Brattka, Vasco and M{\"{u}}ller, Norbert},
  year = {2004},
  pages = {172--191},
  organization = {Fachbereich Mathematik/Informatik, Universit\"at Trier},
  note = {Dagstuhl, Germany, November 15--17, 2004}
}

@Article{Tad06,
  author = {Tadaki, Kohtaro},
  title = {An extension of {C}haitin's halting probability {$\Omega$} to a
  measurement operator in an infinite dimensional quantum system},
  journal = {Mathematical Logic Quarterly},
  year = {2006},
  volume = {52},
  number = {5},
  pages = {419--438}
}

@InProceedings{Tak01,
  author = {Takeuti, Izumi},
  title = {Effective Fixed Point Theorem Over a Non-computably Separable Metric
  Space},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {310--322},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@InProceedings{Tak03,
  author = {Takeuti, Izumi},
  title = {Effective Limit in Computable Analysis},
  booktitle = {RNC'5 Real Numbers and Computers},
  editor = {Daumas, Marc et al.},
  year = {2003},
  pages = {161--175},
  organization = {INRIA, Institut National de Recherche en Informatique et en
  Automatique},
  note = {Lyon, September 3--5, 2003}
}

@InProceedings{Tak05,
  author = {Takeuti, Izumi},
  title = {Transition Systems over Continuous Time-Space},
  booktitle = {Proceedings of the 6th Workshop on Computability and Complexity
  in Analysis},
  editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
  year = {2005},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {120},
  pages = {173--186},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {6th International Workshop, CCA 2004, Wittenberg, Germany, August
  16--20, 2004}
}

@InProceedings{Tay05,
  author = {Taylor, Paul},
  title = {A lambda calculus for real analysis},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
  Klaus},
  year = {2005},
  month = {July},
  series = {Informatik Berichte},
  volume = {326},
  pages = {227--266},
  publisher = {FernUniversit\"at in Hagen},
  note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan,
  August 25--29, 2005}
}

@PhdThesis{Ter98,
  author = {Terwijn, Sebastiaan Augustinus},
  title = {Computability and Measure},
  year = {1998},
  school = {Institute for Logic, Language and Computation},
  address = {University Amsterdam}
}

@PhdThesis{The84,
  author = {Theobald, Konrad R.},
  title = {Eine allgemeine Theorie der Stetigkeit und Berechenbarkeit f\"{u}r
  nat\"{u}rliche Halbordnungen},
  year = {1984},
  school = {Fachbereich Mathematik und Informatik},
  address = {FernUniversit\"{a}t Hagen}
}

@Book{Tod63,
  author = {Todd, J.},
  title = {Introduction to the Constructive Theory of Functions},
  year = {1963},
  publisher = {Academic Press},
  address = {New York}
}

@Article{Tro67,
  author = {Troelstra, A.S.},
  title = {Intuitionistic continuity},
  journal = {Nieuw Arch. Wisk.},
  year = {1967},
  volume = {15},
  pages = {2--6}
}

@Book{Tro73,
  title = {Metamathematical {I}nvestigation of {I}ntuitionistic {A}rithmetic
  and {A}nalysis},
  editor = {Troelstra, A.S. (ed.)},
  year = {1973},
  series = {Lecture Notes in Mathematics},
  volume = {344},
  publisher = {Springer},
  address = {Berlin}
}

@InProceedings{Tro73a,
  author = {Troelstra, A.S.},
  title = {Models and computability},
  booktitle = {Metamathematical Investigation of Intuitionistic Arithmetic and
  Analysis},
  editor = {Troelstra, A.S.},
  year = {1973},
  series = {Lecture Notes in Mathematics},
  volume = {344},
  pages = {97--174}
}

@Article{Tro77,
  author = {Troelstra, A.S.},
  title = {A note on non-extensional operations in connection with continuity
  and recursivness},
  journal = {Nederl. Akad. Wetensch. Proc. Ser. A},
  year = {1977},
  volume = {39},
  pages = {455--462}
}

@Article{Tro80,
  author = {Troelstra, A.S.},
  title = {Intuitionistic extensions of the reals},
  journal = {Nieuw Arch. Wisk.},
  year = {1980},
  volume = {28},
  pages = {63--113}
}

@InProceedings{Tro80a,
  author = {Troelstra, A.S.},
  title = {Intuitionistic extensions of the reals, {II}},
  booktitle = {Logic Colloq. '80},
  year = {1980},
  series = {Studies in Logic and the Foundations of Mathematics},
  volume = {108},
  publisher = {North-Holland},
  address = {Amsterdam},
  note = {Prague, 1980}
}

@InProceedings{Tro92,
  author = {Troelstra, A.S.},
  title = {Comparing the theory of representations and constructive
  mathematics},
  booktitle = {Computer Science Logic},
  editor = {B\"orger, E. and J\"ager, G. and Kleine B\"uning, H. and Richter,
  M.M.},
  year = {1992},
  series = {Lecture Notes in Computer Science},
  volume = {626},
  pages = {382--395},
  publisher = {Springer},
  address = {Berlin},
  note = {Proceedings of the 5th Workshop, CSL'91, Berne Switzerland, October
  1991}
}

@InProceedings{Tro93,
  author = {Troelstra, A.S.},
  title = {An intuitionistic look at the real numbers ({Dutch})},
  booktitle = {Summer course 1993: the real numbers, {CWI} {S}yllabi},
  year = {1993},
  volume = {35},
  pages = {67--81},
  note = {Math. Centrum, 1993}
}

@InProceedings{Tsu01,
  author = {Tsuiki, Hideki},
  title = {Computational Dimension of Topological Spaces},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {323--335},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@Article{Tsu02,
  author = {Tsuiki, Hideki},
  title = {Real number computation through {G}ray code embedding},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {284},
  number = {2},
  pages = {467--485}
}

@InProceedings{Tsu02a,
  author = {Tsuiki, Hideki},
  title = {Representations of Complete Uniform Spaces via Uniform Domains},
  booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
  year = {2002},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {66},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {5th International Workshop, CCA 2002, M{\'{a}}laga, Spain, July
  12--13, 2002}
}

@Article{Tsu04,
  author = {Tsuiki, Hideki},
  title = {Dyadic subbases and efficiency properties of the induced $\{0, 1,
  \bot\}^\omega$--representations},
  journal = {Topology Proceedings},
  year = {2004},
  volume = {28},
  number = {2},
  pages = {673--687}
}

@Article{Tsu04a,
  author = {Tsuiki, Hideki},
  title = {Compact metric spaces as minimal-limit sets in domains of bottomed
  sequences},
  journal = {Mathematical Structures in Computer Science},
  year = {2004},
  volume = {14},
  pages = {853--878}
}

@Article{Tsu05,
  author = {Tsuiki, Hideki},
  title = {Real number computation with committed choice logic programming
  languages},
  journal = {The Journal of Logic and Algebraic Programming},
  year = {2005},
  volume = {64},
  pages = {61--84}
}

@InProceedings{Tsu98,
  author = {Tsuiki, Hideki},
  title = {Grey Code Representation of Exact Real Numbers},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch,
  Klaus and Wiedermann, Ji{\v{r}}{\'{\i}}},
  year = {1998},
  month = {August},
  series = {Informatik Berichte},
  volume = {235},
  pages = {91--102},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA Workshop, Brno, Czech Republic, August, 1998}
}

@Article{Tur36,
  author = {Turing, Alan M.},
  title = {On computable numbers, with an application to the
  ``{E}ntscheidungsproblem''},
  journal = {Proceedings of the London Mathematical Society},
  year = {1936},
  volume = {42},
  number = {2},
  pages = {230--265}
}

@Article{Tur37,
  author = {Turing, Alan M.},
  title = {On computable numbers, with an application to the
  ``{E}ntscheidungsproblem''. {A} correction.},
  journal = {Proceedings of the London Mathematical Society},
  year = {1937},
  volume = {43},
  number = {2},
  pages = {544--546}
}

@Article{VB03,
  author = {V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a S. and Bridges, Douglas
  S.},
  title = {A constructive theory of point-set nearness},
  journal = {Theoretical Computer Science},
  year = {2003},
  volume = {305},
  pages = {473--489}
}

@Article{VB04,
  author = {V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a and Bridges, Douglas},
  title = {More on {C}auchy nets in apartness spaces},
  journal = {Scientiae Mathematicae Japonicae},
  year = {2004},
  volume = {59},
  number = {3},
  pages = {547--552}
}

@InCollection{VN74,
  author = {Va{\u\i}nberg, Ju. R. and Nogina, Elena Ju.},
  title = {Categories of effectively topological spaces},
  booktitle = {Studies in formalized languages and nonclassical logics
  ({R}ussian)},
  year = {1974},
  pages = {253--273},
  publisher = {Izdat. ``Nauka'', Moscow}
}

@InCollection{VN76,
  author = {Va{\u\i}nberg, Ju. R. and Nogina, Elena Ju.},
  title = {Two types of continuity of computable mappings of numerated
  topological spaces},
  booktitle = {Studies in the theory of algorithms and mathematical logic, Vol.
  2 ({R}ussian)},
  year = {1976},
  pages = {84--99, 159},
  publisher = {Vy\v cisl. Centr Akad. Nauk SSSR, Moscow}
}

@PhdThesis{Vel81,
  author = {Veldman, W.},
  title = {Investigations in {I}ntuitionistic {H}ierarchy {T}heory},
  year = {1981},
  type = {Ph.D. Thesis},
  school = {Katholieke Universiteit, Nijmegen},
  address = {Nijmegen, The Netherlands}
}

@Article{Ves72,
  author = {Vesley, R.E.},
  title = {Choice sequences and {M}arkov's principle},
  journal = {Compositio Mathematica},
  year = {1972},
  volume = {24},
  pages = {33--53}
}

@PhdThesis{Vit00,
  author = {V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a Simona},
  title = {A Constructive Development of Operator Algebra Theory},
  year = {2000},
  school = {Department of Mathematics \& Statistics, University of Canterbury},
  address = {Christchurch}
}

@Article{Vit05,
  author = {V{\^{\i}}{\c{t}}{\u{a}}, Lumini{\c{t}}a Simona},
  title = {On Complements of Sets and the {E}fremovi{\v{c}} Condition in
  Pre-apartness Spaces},
  journal = {Journal of Universal Computer Science},
  year = {2005},
  volume = {11},
  number = {12},
  pages = {2159--2164}
}

@Article{WD05,
  author = {Wu, Yongcheng and Ding, Decheng},
  title = {Computability of measurable sets via effective metrics},
  journal = {Mathematical Logic Quarterly},
  year = {2005},
  volume = {51},
  number = {6},
  pages = {543--559}
}

@Article{WD06,
  author = {Wu, Yongcheng and Ding, Decheng},
  title = {Computability of measurable sets via effective topologies},
  journal = {Archive for Mathematical Logic},
  year = {2006},
  volume = {45},
  number = {3},
  pages = {365--379}
}

@TechReport{WD80,
  author = {Weihrauch, Klaus and Deil, Thomas},
  title = {Berechenbarkeit auf cpo-s},
  year = {1980},
  number = {63},
  type = {Schriften zur Informatik und angewandten Mathematik},
  institution = {Technische Hochschule Aachen},
  address = {Aachen},
  note = {Eine Vorlesung von Klaus Weihrauch ausgearbeitet von Thomas Deil}
}

@Article{WK87,
  author = {Weihrauch, Klaus and Kreitz, Christoph},
  title = {Representations of the real numbers and of the open subsets of the
  set of real numbers},
  journal = {Annals of Pure and Applied Logic},
  year = {1987},
  volume = {35},
  pages = {247--260}
}

@Article{WK91,
  author = {Weihrauch, Klaus and Kreitz, Christoph},
  title = {Type 2 computational complexity of functions on {C}antor's space},
  journal = {Theoretical Computer Science},
  year = {1991},
  volume = {82},
  pages = {1--18},
  note = {Fundamental Study}
}

@InProceedings{WL02,
  author = {Wiedermann, Ji{\v{r}}{\'{\i}} and {van Leeuwen}, Jan},
  title = {Relativistic Computers and Non-uniform Complexity Theory},
  booktitle = {Unconventional models of computation},
  editor = {Calude, Cristian S. and Dinneen, Michael J. and Peper, Ferdinand},
  year = {2002},
  series = {Lecture Notes in Computer Science},
  volume = {2509},
  pages = {287--299},
  publisher = {Springer},
  address = {Berlin},
  note = {Proceedings of the 3rd International Conference (UMC 2002) held in
  Kobe, Japan, October 15--19, 2002}
}

@InProceedings{WS79,
  author = {Weihrauch, Klaus and Schreiber, Ulrich},
  title = {Metric spaces defined by weighted algebraic cpo-s},
  booktitle = {Fundamentals of Computation Theory, FCT'79},
  editor = {Budach, Lothar},
  year = {1979},
  pages = {516--522},
  publisher = {Akademie-Verlag},
  address = {Berlin},
  note = {Proceedings of the Conference on Algebraic, Arithmetic, and
  Categorial Methods in Computation Theory, Berlin, September 17--21, 1979}
}

@TechReport{WS80,
  author = {Weihrauch, Klaus and Schreiber, Ulrich},
  title = {Embedding metric spaces into cpo-s},
  year = {1980},
  month = {April},
  number = {2},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen}
}

@Article{WS81,
  author = {Weihrauch, Klaus and Schreiber, Ulrich},
  title = {Embedding metric spaces into cpo's},
  journal = {Theoretical Computer Science},
  year = {1981},
  volume = {16},
  pages = {5--24}
}

@InProceedings{WS81a,
  author = {Weihrauch, Klaus and Sch\"afer, Giesela},
  title = {Admissible representations of effective cpo's},
  booktitle = {Mathematical Foundations of Computer Science 1981},
  editor = {Gruska, J. and Chytil, M.},
  year = {1981},
  series = {Lecture Notes in Computer Science},
  volume = {118},
  publisher = {Springer},
  note = {Proceedings, 10th Sympsoium \v{S}trbsk\'{e} Pleso, Czechoslovakia,
  August 31--September 4, 1981}
}

@Article{WS83,
  author = {Weihrauch, Klaus and Sch{\"a}fer, G.},
  title = {Admissible representations of effective cpo's},
  journal = {Theoretical Computer Science},
  year = {1983},
  volume = {26},
  pages = {131--147}
}

@InProceedings{WW05,
  author = {Yongcheng Wu and Klaus Weihrauch},
  title = {A Computable Version of the {D}aniell-{S}tone Theorem on Integration
  and Linear Functionals},
  booktitle = {Proceedings of the 6th Workshop on Computability and Complexity
  in Analysis},
  editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
  year = {2005},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {120},
  pages = {217--230},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {6th International Workshop, CCA 2004, Wittenberg, Germany, August
  16--20, 2004}
}

@Article{WW06,
  author = {Wu, Yongcheng and Weihrauch, Klaus},
  title = {A computable version of the {D}aniell-{S}tone theorem on integration
  and linear functionals},
  journal = {Theoretical Computer Science},
  year = {2006},
  volume = {359},
  number = {1--3},
  pages = {28--42}
}

@Article{WY96,
  author = {Washihara, Masako and Yasugi, Mariko},
  title = {Computability and metrics in a {F}r\'{e}chet space},
  journal = {Mathematica Japonica},
  year = {1996},
  volume = {43},
  number = {3},
  pages = {431--443}
}

@Article{WZ00,
  author = {Weihrauch, Klaus and Zheng, Xizhong},
  title = {Computability on continuous, lower semi-continuous and upper
  semi-continuous real functions},
  journal = {Theoretical Computer Science},
  year = {2000},
  volume = {234},
  pages = {109--133}
}

@InProceedings{WZ01,
  author = {Weihrauch, Klaus and Zhong, Ning},
  title = {Is the Linear {S}chr{\"o}dinger Propagator {T}uring Computable?},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {369--377},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@TechReport{WZ01a,
  author = {Weihrauch, Klaus and Zhong, Ning},
  title = {{T}uring Computability of a Nonlinear {S}chr{\"o}dinger Propagator},
  year = {2001},
  month = {May},
  number = {285},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen}
}

@InProceedings{WZ01b,
  author = {Weihrauch, Klaus and Zhong, Ning},
  title = {{T}uring Computability of a Nonlinear {S}chr{\"o}dinger Propagator},
  booktitle = {Computing and Combinatorics},
  editor = {Wang, Jie},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2108},
  pages = {596--599},
  publisher = {Springer},
  address = {Berlin},
  note = {7th Annual International Conference, COCOON 2001, Guilin, China,
  August 20-23, 2001}
}

@InProceedings{WZ02,
  author = {Weihrauch, Klaus and Zhong, Ning},
  title = {The Solution Operator of the {K}orteweg-de {V}ries Equation is
  Computable},
  booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
  year = {2002},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {66},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {5th International Workshop, CCA 2002, M{\'{a}}laga, Spain, July
  12--13, 2002}
}

@Article{WZ02a,
  author = {Weihrauch, Klaus and Zhong, Ning},
  title = {Is wave propagation computable or can wave computers beat the
  {T}uring machine?},
  journal = {Proceedings of the London Mathematical Society},
  year = {2002},
  volume = {85},
  number = {2},
  pages = {312--332}
}

@TechReport{WZ02b,
  author = {Weihrauch, Klaus and Zhong, Ning},
  title = {The Solution Operator of the {K}orteweg-de {V}ries Equation is
  Computable},
  year = {2002},
  month = {June},
  number = {293},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen}
}

@InProceedings{WZ05,
  author = {Weihrauch, Klaus and Zhong, Ning},
  title = {An Algorithm for Computing Fundamental Solutions},
  booktitle = {Proceedings of the 6th Workshop on Computability and Complexity
  in Analysis},
  editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
  year = {2005},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {120},
  pages = {201--215},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {6th International Workshop, CCA 2004, Wittenberg, Germany, August
  16--20, 2004}
}

@Article{WZ05a,
  author = {Weihrauch, Klaus and Zhong, Ning},
  title = {Computing the solution of the {K}orteweg-de {V}ries equation with
  arbitrary precision on {T}uring machines},
  journal = {Theoretical Computer Science},
  year = {2005},
  volume = {332},
  number = {1--3},
  pages = {337--366}
}

@Article{WZ06,
  author = {Weihrauch, Klaus and Zhong, Ning},
  title = {An algorithm for computing fundamental solutions},
  journal = {SIAM Journal on Computing},
  year = {2006},
  volume = {35},
  number = {6},
  pages = {1283--1294}
}

@Article{WZ06b,
  author = {Weihrauch, Klaus and Zhong, Ning},
  title = {Computing {S}chr{\"o}dinger propagators on {T}ype-2 {T}uring
  machines},
  journal = {Journal of Complexity},
  year = {2006},
  volume = {22},
  number = {6},
  pages = {918--935}
}

@InProceedings{WZ07,
  author = {Weihrauch, Klaus and Zhong, Ning},
  title = {Computable analysis of the abstract {C}auchy problem in a {B}anach
  space and its applications {(I)}},
  booktitle = {Proceedings of the Third International Conference on
  Computability and Complexity in Analysis},
  editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
  Klaus},
  year = {2007},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {167},
  pages = {33--59},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2006, Gainesville, Florida, USA, November 1--5, 2006}
}

@Article{WZ07a,
  author = {Weihrauch, Klaus and Zhong, Ning},
  title = {Computable analysis of the abstract {C}auchy problem in a {B}anach
  space and its applications {I}},
  journal = {Mathematical Logic Quarterly},
  year = {2007},
  volume = {53},
  number = {4--5},
  pages = {511--531}
}

@InProceedings{WZ97,
  author = {Weihrauch, Klaus and Zheng, Xizhong},
  title = {Computability on Continuous, Lower Semi-Continuous and Upper
  Semi-Continuous Real Functions},
  booktitle = {Computing and Combinatorics},
  editor = {Jiang, Tao and Lee, D.T.},
  year = {1997},
  series = {Lecture Notes in Computer Science},
  volume = {1276},
  pages = {166--175},
  publisher = {Springer},
  address = {Berlin},
  note = {Third Annual Conference, COCOON'97, Shanghai, China, August 1997}
}

@InProceedings{WZ98,
  author = {Weihrauch, Klaus and Zheng, Xizhong},
  title = {A Finite Hierarchy of the Recursively Enumerable Real Numbers},
  booktitle = {Mathematical Foundations of Computer Science 1998},
  editor = {Brim, Lubo{\v{s}} and Gruska, Jozef and Zlatu{\v{s}}ka,
  Ji{\v{r}}{\'{\i}}},
  year = {1998},
  series = {Lecture Notes in Computer Science},
  volume = {1450},
  pages = {798--806},
  publisher = {Springer},
  address = {Berlin},
  note = {23rd International Symposium, MFCS'98, Brno, Czech Republic, August,
  1998}
}

@Article{WZ99,
  author = {Weihrauch, Klaus and Zheng, Xizhong},
  title = {Effectiveness of the global modulus of continuity on metric spaces},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {219},
  pages = {439--450}
}

@InProceedings{WZ99a,
  author = {Weihrauch, Klaus and Zhong, Ning},
  title = {The Wave Propagator is {T}uring Computable},
  booktitle = {Automata, Languages and Programming},
  editor = {Wiedermann, Ji{\v{r}}{\'{\i}} and van Emde Boas, Peter and Nielsen,
  Mogens},
  year = {1999},
  series = {Lecture Notes in Computer Science},
  volume = {1644},
  pages = {697--706},
  publisher = {Springer},
  address = {Berlin},
  note = {26th International Colloquium, ICALP'99, Prague, Czech Republic,
  July, 1999}
}

@Article{Waa05,
  author = {Waaldijk, Frank},
  title = {On the foundations of constructive mathematics - especially in
  relation to the theory of continuous functions},
  journal = {Foundations of Science},
  year = {2005},
  volume = {10},
  number = {3},
  pages = {249--324}
}

@PhdThesis{Waa96,
  author = {Waaldijk, Frank},
  title = {Modern Intuitionistic Topology},
  year = {1996},
  school = {Radboud University Nijmegen}
}

@Article{Wag76,
  author = {Wagner, Klaus},
  title = {Arithmetische {O}peratoren},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1976},
  volume = {22},
  pages = {553--570}
}

@Article{Wag77,
  author = {Wagner, Klaus},
  title = {Arithmetische und {B}airesche {O}peratoren},
  journal = {Zeitschrift f\"ur Mathematische Logik und Grundlagen der
  Mathematik},
  year = {1977},
  volume = {23},
  pages = {181--191}
}

@InProceedings{Wan82,
  author = {Wang, Hao},
  title = {Specker's mathematical work from 1949 to 1979},
  journal = {Monograph. Enseign. Math.},
  booktitle = {Logic and Algorithmic ({Z}\"urich, 1980)},
  year = {1982},
  volume = {30},
  pages = {11--24},
  publisher = {Univ. Geneva}
}

@Article{Was95,
  author = {Washihara, Masako},
  title = {Computability and {F}r\'{e}chet spaces},
  journal = {Mathematica Japonica},
  year = {1995},
  volume = {42},
  number = {1},
  pages = {1--13}
}

@Article{Was99,
  author = {Washihara, Masako},
  title = {Computability and tempered distributions},
  journal = {Mathematica Japonica},
  year = {1999},
  volume = {50},
  number = {1},
  pages = {1--7}
}

@Book{Wei00,
  author = {Weihrauch, Klaus},
  title = {Computable Analysis},
  year = {2000},
  publisher = {Springer},
  address = {Berlin}
}

@InProceedings{Wei01,
  author = {Weihrauch, Klaus},
  title = {On Computable Metric Spaces {T}ietze-{U}rysohn Extension is
  Computable},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {357--368},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@InProceedings{Wei02a,
  author = {Weihrauch, Klaus},
  title = {Computable Analysis},
  booktitle = {Proceedings of the international conference ``Logic and
  Applications'' honouring {Y}u.\ {L}.\ {E}rshov on his 60th birthday},
  editor = {B.D. Masurov et al.},
  year = {2002},
  pages = {165--178},
  publisher = {University of Novosibirsk},
  address = {Novosibirsk}
}

@Article{Wei03,
  author = {Weihrauch, Klaus},
  title = {Computational complexity on computable metric spaces},
  journal = {Mathematical Logic Quarterly},
  year = {2003},
  volume = {49},
  number = {1},
  pages = {3--21}
}

@InProceedings{Wei03a,
  author = {Weihrauch, Klaus},
  title = {Continuity in computable analysis (Abstract)},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus
  and Zhong, Ning},
  year = {2003},
  month = {August},
  series = {Informatik Berichte},
  volume = {302},
  pages = {99--100},
  publisher = {FernUniversit\"at in Hagen},
  note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30,
  2003}
}

@Book{Wei04,
  author = {Weinberger, Shmuel},
  title = {Computers, Rigidity, and Moduli: The Large-Scale Fractal Geometry of
  {R}iemannian Moduli Space},
  year = {2004},
  publisher = {Princeton University Press},
  address = {New Jersey}
}

@InProceedings{Wei05,
  author = {Weihrauch, Klaus},
  title = {Multi-functions on multi-represented sets are closed under flowchart
  programming},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
  Klaus},
  year = {2005},
  month = {July},
  series = {Informatik Berichte},
  volume = {326},
  pages = {267--300},
  publisher = {FernUniversit\"at in Hagen},
  note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan,
  August 25--29, 2005}
}

@Article{Wei08,
  author = {Weihrauch, Klaus},
  title = {The Computable Multi-Functions on Multi-represented Sets are Closed
  under Programming},
  journal = {Journal of Universal Computer Science},
  year = {2008},
  volume = {14},
  number = {6},
  pages = {801--844}
}

@InProceedings{Wei77b,
  author = {Weihrauch, Klaus},
  title = {A generalized computability thesis},
  booktitle = {Fundamentals of Computation Theory},
  editor = {Karpinski, Marek},
  year = {1977},
  series = {Lecture Notes in Computer Science},
  volume = {56},
  pages = {538--542},
  publisher = {Springer},
  note = {Proceedings of the 1977 International FCT-Conference, Poznan-Kornik,
  Poland, September 19--23, 1977}
}

@InProceedings{Wei81,
  author = {Weihrauch, Klaus},
  title = {Recursion and complexity theory on cpo-s},
  booktitle = {Theoretical Computer Science},
  editor = {Deussen, Peter},
  year = {1981},
  series = {Lecture Notes in Computer Science},
  volume = {104},
  publisher = {Springer},
  note = {5th GI-Conference, Karlsruhe, March 23--25, 1981}
}

@TechReport{Wei81b,
  author = {Weihrauch, Klaus},
  title = {Computability on metric spaces},
  year = {1981},
  month = {September},
  number = {21},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen}
}

@TechReport{Wei82,
  author = {Weihrauch, Klaus},
  title = {On natural numberings and representations},
  year = {1982},
  month = {December},
  number = {29},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen}
}

@Article{Wei85,
  author = {Weihrauch, Klaus},
  title = {Type 2 recursion theory},
  journal = {Theoretical Computer Science},
  year = {1985},
  volume = {38},
  pages = {17--33}
}

@Book{Wei87,
  author = {Weihrauch, Klaus},
  title = {Computability},
  year = {1987},
  series = {EATCS Monographs on Theoretical Computer Science},
  volume = {9},
  publisher = {Springer},
  address = {Berlin}
}

@Article{Wei91,
  author = {Weihrauch, Klaus},
  title = {On the complexity of online computations of real functions},
  journal = {Journal of Complexity},
  year = {1991},
  volume = {7},
  pages = {380--394}
}

@TechReport{Wei91a,
  author = {Weihrauch, Klaus},
  title = {The lowest {W}adge-degrees of subsets of the {C}antor space},
  year = {1991},
  month = {April},
  number = {107},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen}
}

@TechReport{Wei92a,
  author = {Weihrauch, Klaus},
  title = {The degrees of discontinuity of some translators between
  representations of the real numbers},
  year = {1992},
  month = {July},
  number = {TR-92-050},
  type = {Technical Report},
  institution = {International Computer Science Institute},
  address = {Berkeley}
}

@TechReport{Wei92b,
  author = {Weihrauch, Klaus},
  title = {The degrees of discontinuity of some translators between
  representations of the real numbers},
  year = {1992},
  month = {July},
  number = {129},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen}
}

@TechReport{Wei92c,
  author = {Weihrauch, Klaus},
  title = {The {TTE}-interpretation of three hierarchies of omniscience
  principles},
  year = {1992},
  month = {September},
  number = {130},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen}
}

@Article{Wei93,
  author = {Weihrauch, Klaus},
  title = {Computability on computable metric spaces},
  journal = {Theoretical Computer Science},
  year = {1993},
  volume = {113},
  pages = {191--210},
  note = {Fundamental Study}
}

@TechReport{Wei95,
  author = {Weihrauch, Klaus},
  title = {A Simple Introduction to Computable Analysis},
  edition = {2nd},
  year = {1995},
  month = {July},
  number = {171},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen},
  note = {2nd edition}
}

@InProceedings{Wei97,
  author = {Weihrauch, Klaus},
  title = {A Foundation for Computable Analysis},
  booktitle = {Combinatorics, Complexity, and Logic},
  editor = {Bridges, Douglas S. and Calude, Cristian S. and Gibbons, Jeremy and
  Reeves, Steve and Witten, Ian H.},
  year = {1997},
  series = {Discrete Mathematics and Theoretical Computer Science},
  pages = {66--89},
  publisher = {Springer},
  address = {Singapore},
  note = {Proceedings of DMTCS'96}
}

@TechReport{Wei97e,
  author = {Weihrauch, Klaus},
  title = {Random Real Numbers},
  year = {1997},
  month = {June},
  number = {219},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen}
}

@Article{Wei98,
  author = {Weihrauch, Klaus},
  title = {A Refined Model of Computation for Continuous Problems},
  journal = {Journal of Complexity},
  year = {1998},
  volume = {14},
  pages = {102--121}
}

@Article{Wei99a,
  author = {Weihrauch, Klaus},
  title = {Computability on the probability measures on the {B}orel sets of the
  unit interval},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {219},
  pages = {421--437}
}

@Book{Wey18,
  author = {Weyl, H.},
  title = {Das {K}ontinuum},
  year = {1978},
  publisher = {Veit},
  address = {Leipzig}
}

@Article{Wie80,
  author = {Wiedmer, E.},
  title = {Computing with infinite objects},
  journal = {Theoretical Computer Science},
  year = {1980},
  volume = {10},
  pages = {133--155}
}

@Article{Won96,
  author = {Wong, Kam-Chau},
  title = {Computability of Minimizers and Separating Hyperplanes},
  journal = {Mathematical Logic Quarterly},
  year = {1996},
  volume = {42},
  pages = {564--568}
}

@Article{Woz99,
  author = {Wo{\'{z}}niakowski, Henryk},
  title = {Why does information-based complexity use the real number model?},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {219},
  pages = {451--465}
}

@Article{Wu05a,
  author = {Wu, Guohua},
  title = {Regular reals},
  journal = {Mathematical Logic Quarterly},
  year = {2005},
  volume = {51},
  number = {2},
  pages = {111--119}
}

@InProceedings{XG07,
  author = {Xu, Yatao and Grubba, Tanja},
  title = {Computability on Subsets of Locally Compact Spaces},
  booktitle = {Theory and Applications of Models of Computation},
  editor = {Cai, J.-Y. and Cooper, S.B. and Zhu, H.},
  year = {2007},
  series = {Lecture Notes in Computer Science},
  volume = {4484},
  pages = {100--114},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Conference, TAMC 2007, Shanghai, China, May 2007}
}

@Article{YBW01,
  author = {Yasugi, Mariko and Brattka, Vasco and Washihara, Masako},
  title = {Computability aspects of some discontinuous functions},
  journal = {Scientiae Mathematicae Japonicae Online},
  year = {2001},
  volume = {5},
  pages = {405--419}
}

@Article{YBW02,
  author = {Yasugi, Mariko and Brattka, Vasco and Washihara, Masako},
  title = {Computability aspects of some discontinuous functions},
  journal = {Scientiae Mathematicae Japonicae},
  year = {2002},
  volume = {55},
  number = {3},
  pages = {427--441}
}

@InProceedings{YBW02a,
  author = {Yasugi, Mariko and Brattka, Vasco and Washihara, Masako},
  title = {Limit computation of some discontinuous functions},
  booktitle = {Theoretical development and feasibility of mathematical analysis
  on the computer},
  year = {2002},
  series = {S\={u}rikaisekikenky\={u}sho K\={o}ky\={u}roku},
  volume = {1286},
  pages = {79--84},
  publisher = {Research Institute for Mathematical Sciences},
  address = {Kyoto}
}

@Article{YCK06,
  author = {Yu, Fuxiang and Chou, Arthur and Ko, Ker-I},
  title = {On the complexity of finding circumscribed rectangles and squares
  for a two-dimensional domain},
  journal = {Journal of Complexity},
  year = {2006},
  volume = {22},
  number = {6},
  pages = {803--817}
}

@Article{YDD04,
  author = {Yu, Liang and Ding, Decheng and Downey, Rodney},
  title = {The {K}olmogorov complexity of random reals},
  journal = {Annals of Pure and Applied Logic},
  year = {2004},
  volume = {129},
  number = {1--3},
  pages = {163--180}
}

@Article{YK99,
  author = {Yamakawa, Takeshi and Kreinovich, Vladik},
  title = {Why fundamental physical equations are of second order?},
  journal = {International Journal of Theoretical Physics},
  year = {1999},
  volume = {38},
  number = {6},
  pages = {1763--1770}
}

@InProceedings{YMT05,
  author = {Yasugi, Mariko and Mori, Takakazu and Tsujii, Yoshiki},
  title = {Effective sequence of uniformities and its effective limit},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
  Klaus},
  year = {2005},
  month = {July},
  series = {Informatik Berichte},
  volume = {326},
  pages = {301--318},
  publisher = {FernUniversit\"at in Hagen},
  note = {Proccedings, Second International Conference, CCA 2005, Kyoto, Japan,
  August 25--29, 2005}
}

@Article{YMT07,
  author = {Yasugi, Mariko and Mori, Takakazu and Tsujii, Yoshiki},
  title = {The effective sequence of uniformities and its limit as a
  methodology in computable analysis},
  journal = {Annals of the Japan Association for Philosophy of Science},
  year = {2007},
  volume = {15},
  number = {2},
  pages = {99--121}
}

@Article{YMT99,
  author = {Yasugi, Mariko and Mori, Takakazu and Tsujii, Yoshiki},
  title = {Effective properties of sets and functions in metric spaces with
  computability structure},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {219},
  pages = {467--486}
}

@InProceedings{YT02,
  author = {Yasugi, Mariko and Tsujii, Yoshiki},
  title = {Two Notions of Sequential Computability of a Function with Jumps},
  booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
  year = {2002},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {66},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {5th International Workshop, CCA 2002, M{\'{a}}laga, Spain, July
  12--13, 2002}
}

@Article{YT05,
  author = {Yasugi, Mariko and Tsujii, Yoshiki},
  title = {Computability of a function with jumps -- Effective uniformity and
  limiting recursion},
  journal = {Topology and its Applications},
  year = {2005},
  volume = {146-147},
  pages = {563--582}
}

@Article{YTM02,
  author = {Yasugi, Mariko and Tsujii, Yoshiki and Mori, Takakazu},
  title = {Metrization of the Uniform Space and Effective Convergence},
  journal = {Mathematical Logic Quarterly},
  year = {2002},
  volume = {48},
  number = {Suppl. 1},
  pages = {123--130}
}

@Article{YTM05,
  author = {Yasugi, Mariko and Tsujii, Yoshiki and Mori, Takakazu},
  title = {Sequential Computability of a Function. Effective {F}ine Space and
  Limiting Recursion},
  journal = {Journal of Universal Computer Science},
  year = {2005},
  volume = {11},
  number = {12},
  pages = {2179--2191}
}

@InProceedings{YW03,
  author = {Yasugi, Mariko and Washihara, Masako},
  title = {A note on {R}ademacher Functions and Computability},
  booktitle = {Words, Languages \& Combinatorics III},
  editor = {Ito, Masami and Imaoka, Teruo},
  year = {2003},
  pages = {466--475},
  publisher = {World Scientific Publishing},
  address = {Singapore},
  note = {ICWLC 2000, Kyoto, Japan, March 14--18, 2000}
}

@Unpublished{Yam95,
  author = {Yamaguchi, Takeshi},
  title = {On Index Sets of Recursive Reals},
  year = {1995},
  note = {Draft}
}

@Article{Yas00,
  author = {Yasugi, Mariko},
  title = {How to understand the computability aspects of step functions},
  journal = {S\={u}rikaisekikenky\={u}sho K\={o}ky\={u}roku},
  year = {2000},
  volume = {1169},
  pages = {84--91},
  note = {Research Institute for Mathematical Sciences Kyoto}
}

@Article{Yas96,
  author = {Yasugi, Mariko},
  title = {Computability in analysis},
  journal = {Surikaisekikenkyusho-Kokyuroku},
  year = {1993},
  volume = {850},
  pages = {207--214},
  note = {Workshop on Stochastic Numerics, Kyoto}
}

@InProceedings{Yas98,
  author = {Yasugi, Mariko},
  title = {Computability problem of {G}aussian function},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch,
  Klaus and Wiedermann, Ji{\v{r}}{\'{\i}}},
  year = {1998},
  month = {August},
  series = {Informatik Berichte},
  volume = {235},
  pages = {157--165},
  publisher = {FernUniversit\"at Hagen},
  note = {CCA Workshop, Brno, Czech Republic, August, 1998}
}

@Article{Ye02,
  author = {Ye, Feng},
  title = {Toward a constructive theory of unbounded linear operators},
  journal = {The Journal of Symbolic Logic},
  year = {2000},
  volume = {65},
  number = {1},
  pages = {357--370}
}

@Article{Yos02,
  author = {Yoshikawa, Atsushi},
  title = {Interpolation functor and computability},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {284},
  number = {2},
  pages = {487--498}
}

@Article{Yos03,
  author = {Yoshikawa, Atsushi},
  title = {On an ad hoc computability structure in a {H}ilbert space},
  journal = {Proc. Japan Acad. Ser. A},
  year = {2003},
  volume = {79},
  number = {3},
  pages = {65--70}
}

@Article{Yos05,
  author = {Yoshida, Satoru},
  title = {The constructive completion of the space ${\cal D}(R)$},
  journal = {Mathematical Logic Quarterly},
  year = {2005},
  volume = {51},
  number = {1},
  pages = {77--82}
}

@Article{Yos06,
  author = {Yoshida, Satoru},
  title = {Generalized functions with pseudobounded support in constructive
  mathematics},
  journal = {Journal of Complexity},
  year = {2006},
  volume = {22},
  number = {6},
  pages = {783--802}
}

@Article{Yos07,
  author = {Yoshikawa, Atsushi},
  title = {On computability of the {G}alerkin procedure},
  journal = {Proc. Japan Acad. Ser. A},
  year = {2007},
  volume = {83},
  number = {5},
  pages = {69--72}
}

@InProceedings{Yu07,
  author = {Yu, Fuxiang},
  title = {On the complexity of the pancake problem},
  booktitle = {Proceedings of the Third International Conference on
  Computability and Complexity in Analysis},
  editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
  Klaus},
  year = {2007},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {167},
  pages = {95--115},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2006, Gainesville, Florida, USA, November 1--5, 2006}
}

@Article{Yu07a,
  author = {Yu, Fuxiang},
  title = {On the complexity of the pancake problem},
  journal = {Mathematical Logic Quarterly},
  year = {2007},
  volume = {53},
  number = {4--5},
  pages = {532--546}
}

@PhdThesis{Yuc97,
  author = {Yuchuan, Wang},
  title = {Constructive Analysis of Partial Differential Equations},
  year = {1997},
  school = {Department of Mathematics, University of Waikato},
  address = {Hamilton}
}

@InProceedings{ZB00,
  author = {Ziegler, Martin and Brattka, Vasco},
  title = {Computing the Dimension of Linear Subspaces},
  booktitle = {SOFSEM 2000: Theory and Practice of Informatics},
  editor = {Hlav{\'{a}}{\v{c}}, V{\'{a}}clav and Jeffery, Keith G. and
  Wiedermann, Ji{\v{r}}{\'{\i}}},
  year = {2000},
  series = {Lecture Notes in Computer Science},
  volume = {1963},
  pages = {450--458},
  publisher = {Springer},
  address = {Berlin},
  note = {27th Conference on Current Trends in Theory and Practice of
  Informatics, Milovy, Czech Republic, November 25--December 2, 2000}
}

@InProceedings{ZB01,
  author = {Ziegler, Martin and Brattka, Vasco},
  title = {A Computable Spectral Theorem},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Blanck, Jens and Brattka, Vasco and Hertling, Peter},
  year = {2001},
  series = {Lecture Notes in Computer Science},
  volume = {2064},
  pages = {378--388},
  publisher = {Springer},
  address = {Berlin},
  note = {4th International Workshop, CCA 2000, Swansea, UK, September 2000}
}

@InProceedings{ZB01a,
  author = {Ziegler, Martin and Brattka, Vasco},
  title = {Turing Computability of (Non-)Linear Optimization},
  booktitle = {Thirteenth Canadian Conference on Computational Geometry},
  editor = {Therese Biedl},
  year = {2001},
  pages = {181--184},
  publisher = {University of Waterloo},
  note = {CCCG 2001, August 13--15, 2001}
}

@InProceedings{ZB03,
  author = {Zheng, Xizhong and Barmpalias, George},
  title = {On the Monotonic Computability of Semi-computable Real Numbers},
  booktitle = {Discrete Mathematics and Theoretical Computer Science},
  editor = {Calude, Cristian S. and Dinneen, Michael J. and Vajnovszki,
  Vincent},
  year = {2003},
  series = {Lecture Notes in Computer Science},
  volume = {2731},
  pages = {290--300},
  publisher = {Springer},
  address = {Berlin},
  note = {DMTCS 2003, 4th International Conference, July 7--12, 2003, Dijon}
}

@Article{ZB04,
  author = {Ziegler, Martin and Brattka, Vasco},
  title = {Computability in Linear Algebra},
  journal = {Theoretical Computer Science},
  year = {2004},
  volume = {326},
  number = {1--3},
  pages = {187--211}
}

@Article{ZBW99,
  author = {Zheng, Xizhong and Brattka, Vasco and Weihrauch, Klaus},
  title = {Approaches to Effective Semi-Continuity of Real Functions},
  journal = {Mathematical Logic Quarterly},
  year = {1999},
  volume = {45},
  number = {4},
  pages = {481--496}
}

@Article{ZH05,
  author = {Zhou, Qing and Hu, Weihao},
  title = {Decidability in Analysis},
  journal = {Computing},
  year = {2005},
  volume = {75},
  pages = {319--336}
}

@Article{ZLB06,
  author = {Zheng, Xizhong and Lub, Dianchen and Bao, Kejin},
  title = {Divergence bounded computable real numbers},
  journal = {Theoretical Computer Science},
  year = {2006},
  volume = {351},
  number = {1},
  pages = {27--38}
}

@InProceedings{ZM08,
  author = {Zhao, Xishun and M\"uller, Norbert},
  title = {Complexity of Operators on Compact Sets},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {101--119},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@InProceedings{ZR03,
  author = {Zheng, Xizhong and Rettinger, Robert},
  title = {$h$--{M}onotonically computable real numbers},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus
  and Zhong, Ning},
  year = {2003},
  month = {August},
  series = {Informatik Berichte},
  volume = {302},
  pages = {375--388},
  publisher = {FernUniversit\"at in Hagen},
  note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30,
  2003}
}

@Article{ZR04,
  author = {Zheng, Xizhong and Rettinger, Robert},
  title = {Weak computability and representation of reals},
  journal = {Mathematical Logic Quarterly},
  year = {2004},
  volume = {50},
  number = {4,5},
  pages = {431--442}
}

@InProceedings{ZR04b,
  author = {Zheng, Xizhong and Rettinger, Robert},
  title = {On the extensions of {S}olovay Reducibility},
  booktitle = {Computing and Combinatorics},
  editor = {Chwa, Kyung-Yong and Munro, J. Ian},
  year = {2005},
  series = {Lecture Notes in Computer Science},
  volume = {3106},
  pages = {360--369},
  publisher = {Springer},
  address = {Berlin},
  note = {10th Annual International Conference, COOCON 2004, Jeju Island,
  Korea, August 17--20, 2004}
}

@InProceedings{ZR05,
  author = {Zheng, Xizhong and Rettinger, Robert},
  title = {A Note On the {T}uring Degrees of Divergence Bounded Computable
  Reals},
  booktitle = {Proceedings of the 6th Workshop on Computability and Complexity
  in Analysis},
  editor = {Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus},
  year = {2005},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {120},
  pages = {231--237},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {6th International Workshop, CCA 2004, Wittenberg, Germany, August
  16--20, 2004}
}

@Article{ZR05a,
  author = {Zheng, Xizhong and Rettinger, Robert},
  title = {Effective {J}ordan decomposition},
  journal = {Theory of Computing Systems},
  year = {2005},
  volume = {38},
  number = {2},
  pages = {189--209}
}

@InProceedings{ZRB02,
  author = {Zheng, Xizhong and Rettinger, Robert and von Braunm\"uhl,
  Burchard},
  title = {Effectively Absolute Continuity and Effective {J}ordan
  Decomposability},
  booktitle = {{CCA} 2002 Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus},
  year = {2002},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {66},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {5th International Workshop, CCA 2002, M{\'{a}}laga, Spain, July
  12--13, 2002}
}

@InProceedings{ZRB03,
  author = {Zheng, Xizhong and Rettinger, Robert and von Braunm\"uhl,
  Burchard},
  title = {On the Effective {J}ordan Decomposability},
  booktitle = {STACS 2003},
  editor = {Alt, Helmut and Habib, Michel},
  year = {2003},
  series = {Lecture Notes in Computer Science},
  volume = {2607},
  pages = {167--178},
  publisher = {Springer},
  address = {Berlin},
  note = {20th Annual Symposium on Theoretical Aspects of Computer Science,
  Berlin, Germany, February 27--March 1, 2003}
}

@Article{ZRB05,
  author = {Zheng, Xizhong and Rettinger, Robert and Barmpalias, George},
  title = {h-monotonically computable real numbers},
  journal = {Mathematical Logic Quarterly},
  year = {2005},
  volume = {51},
  number = {2},
  pages = {157--170}
}

@InProceedings{ZRG03,
  author = {Zheng, Xizhong and Rettinger, Robert and Gengler, Romain},
  title = {Ershov's hierarchy of real numbers},
  booktitle = {Mathematical Foundations of Computer Science 2003},
  editor = {Rovan, B. and Vojtas, P.},
  year = {2003},
  series = {Lecture Notes in Computer Science},
  volume = {2747},
  pages = {681--690},
  publisher = {Springer},
  address = {Berlin},
  note = {MFCS 2003, August 25--29, 2003, Bratislava, Slovakia}
}

@Article{ZRG05,
  author = {Zheng, Xizhong and Rettinger, Robert and Gengler, Romain},
  title = {Closure properties of real numbers classes under {CBV} functions},
  journal = {Theory of Computing Systems},
  year = {2005},
  volume = {38},
  pages = {701--729}
}

@TechReport{ZW00,
  author = {Zhong, Ning and Weihrauch, Klaus},
  title = {Computability Theory of Generalized Functions},
  year = {2000},
  month = {September},
  number = {276},
  type = {Informatik Berichte},
  institution = {FernUniversit\"at Hagen},
  address = {Hagen}
}

@Article{ZW01,
  author = {Zheng, Xizhong and Weihrauch, Klaus},
  title = {The Arithmetical Hierarchy of Real Numbers},
  journal = {Mathematical Logic Quarterly},
  year = {2001},
  volume = {47},
  number = {1},
  pages = {51--65}
}

@Article{ZW03,
  author = {Zhong, Ning and Weihrauch, Klaus},
  title = {Computability theory of generalized functions},
  journal = {Journal of the Association for Computing Machinery},
  year = {2003},
  volume = {50},
  number = {4},
  pages = {469--505}
}

@InProceedings{ZW99,
  author = {Zheng, Xizhong and Weihrauch, Klaus},
  title = {The Arithmetical Hierarchy of Real Numbers},
  booktitle = {Mathematical Foundations of Computer Science 1999},
  editor = {Kuty{\l}owski, Miros{\l}aw and Pacholski, Leszek and Wierzbicki,
  Tomasz},
  year = {1999},
  series = {Lecture Notes in Computer Science},
  volume = {1672},
  pages = {23--33},
  publisher = {Springer},
  address = {Berlin},
  note = {24th International Symposium, MFCS'99, Szklarska Por\c{e}ba, Poland,
  September, 1999}
}

@Article{ZZ99,
  author = {Zhong, Ning and Zhang, Bing-Yu},
  title = {{$L^p$}-Computability},
  journal = {Mathematical Logic Quarterly},
  year = {1999},
  volume = {45},
  number = {4},
  pages = {449--456}
}

@Book{Zah78,
  author = {Zahn, Peter},
  title = {Ein konstruktiver {W}eg zur {M}a{\ss}theorie und
  {F}unktionalanalysis},
  year = {1978},
  publisher = {Wissenschaftliche Buchgesellschaft},
  address = {Darmstadt}
}

@Article{Zah85,
  author = {Zahn, Peter},
  title = {Gilt das {L}emma von {K}{\"{o}}nig ``konstruktiv''?},
  journal = {Archiv f\"ur Mathematische Logik und Grundlagenforschung},
  year = {1985},
  volume = {25},
  pages = {33--35}
}

@Article{Zas55,
  author = {Zaslavskij, I.D.},
  title = {Disproof of some theorems of classical analysis in constructive
  analysis},
  journal = {Usp.\ Mat.\ Nauk},
  year = {1955},
  volume = {10},
  number = {4},
  pages = {209--210},
  note = {(in Russian)}
}

@Article{Zas62,
  author = {Zaslavskij, I.D.},
  title = {Some properties of constructive real numbers and constructive
  functions},
  journal = {Tr.\ Mat.\ Inst.\ Steklov},
  year = {1962},
  volume = {67},
  number = {4},
  pages = {385--457},
  note = {(in Russian, english translation in: Amer.\ Math.\ Soc.\ Translations
  2 57,1--84(1966)}
}

@Article{Zas64,
  author = {Zaslavskij, I.D.},
  title = {On the differentiation and integration of constructive functions},
  journal = {Doklady Akademii Nauk},
  year = {1964},
  volume = {156},
  pages = {25--27},
  note = {(Russian)}
}

@Article{Zas67,
  author = {Zaslavskij, I.D.},
  title = {Rectifiability of constructive plane curves},
  journal = {Izv. Akad. Nauk Armjan. SSR Ser. Mat.},
  year = {1967},
  volume = {2},
  pages = {69--82},
  note = {(Russian)}
}

@Article{Zhe02,
  author = {Zheng, Xizhong},
  title = {The closure properties on real numbers under limits and computable
  operators},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {284},
  number = {2},
  pages = {499--518}
}

@Article{Zhe02a,
  author = {Zheng, Xizhong},
  title = {Recursive Approximability of Real Numbers},
  journal = {Mathematical Logic Quarterly},
  year = {2002},
  volume = {48},
  number = {Suppl. 1},
  pages = {131--156}
}

@Article{Zhe03,
  author = {Zheng, Xizhong},
  title = {On the {T}uring degrees of weakly computable real numbers},
  journal = {Journal of Logic and Computation},
  year = {2003},
  volume = {13},
  number = {2},
  pages = {159--172}
}

@InProceedings{Zhe03a,
  author = {Zheng, Xizhong},
  title = {On the divergence bounded computable real numbers},
  booktitle = {Computing and Combinatorics},
  editor = {Warnow, Tandy and Zhu, Binhai},
  year = {2003},
  series = {Lecture Notes in Computer Science},
  volume = {2697},
  pages = {102--111},
  publisher = {Springer},
  address = {Berlin},
  note = {COOCON 2003, 9th Annual International Conference, July 25-28, 2003,
  Big Sky, MT, USA}
}

@InProceedings{Zhe04,
  author = {Zheng, Xizhong},
  title = {On the hierarchy of $\Delta^0_2$--real numbers},
  booktitle = {RNC'6 Real Numbers and Computers},
  editor = {Frougny, Christiane and Brattka, Vasco and M{\"{u}}ller, Norbert},
  year = {2004},
  pages = {192--216},
  organization = {Fachbereich Mathematik/Informatik, Universit\"at Trier},
  note = {Dagstuhl, Germany, November 15--17, 2004}
}

@InProceedings{Zhe07,
  author = {Zheng, Xizhong},
  title = {Classification of the computable approximations by divergence
  boundings},
  booktitle = {Proceedings of the Third International Conference on
  Computability and Complexity in Analysis},
  editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
  Klaus},
  year = {2007},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {167},
  pages = {325--344},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2006, Gainesville, Florida, USA, November 1--5, 2006}
}

@Article{Zhe07a,
  author = {Zheng, Xizhong},
  title = {On the Hierarchies of {$\Delta^0_2$}--Real Numbers},
  journal = {Theoretical Informatics and Applications},
  year = {2007},
  volume = {41},
  number = {1},
  pages = {3--25}
}

@InProceedings{Zhe08,
  author = {Zheng, Xizhong},
  title = {Finitely Bounded Effective Computability},
  booktitle = {Proceedings of the Fourth International Conference on
  Computability and Complexity in Analysis ({CCA} 2007)},
  editor = {Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
  Klaus and Zhong, Ning},
  year = {2008},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {202},
  pages = {255--265},
  publisher = {Elsevier},
  note = {CCA 2007, Siena, Italy, June 16--18, 2007}
}

@PhdThesis{Zhe98a,
  author = {Zheng, Xizhong},
  title = {Weak Computability and Semi-Computability in Analysis},
  year = {1998},
  school = {Fachbereich Informatik},
  address = {FernUniversit\"{a}t Hagen}
}

@InProceedings{Zhe99,
  author = {Zheng, Xizhong},
  title = {Binary Enumerability of Real Numbers},
  booktitle = {Computing and Combinatorics},
  editor = {Asana, Takao and Imai, Hiroshi and Lee, D.T. and Nakano, Shin-ichi
  and Tokuyama, Takeshi},
  year = {1999},
  series = {Lecture Notes in Computer Science},
  volume = {1627},
  pages = {300--309},
  publisher = {Springer},
  address = {Berlin},
  note = {5th Annual Conference, COCOON'99, Tokyo, Japan, July 1999}
}

@Article{Zho00,
  author = {Zhou, Qing},
  title = {Grzegorczyk's hierarchy of computable analysis},
  journal = {Theoretical Computer Science},
  year = {2000},
  volume = {243},
  pages = {449--466}
}

@Article{Zho01,
  author = {Zhou, Qing},
  title = {Relatively computable functions of real variables},
  journal = {Computing},
  year = {2001},
  volume = {67},
  number = {2},
  pages = {167--181}
}

@InProceedings{Zho05,
  author = {Zhong, Ning},
  title = {Computable Analysis of a Non-homogeneous Boundary-Value Problem for
  the {K}orteweg-de {V}ries Equation},
  booktitle = {New Computational Paradigms},
  editor = {Cooper, Barry S. and L{\"o}we, Benedikt and Torenvliet, Leen},
  year = {2005},
  series = {Lecture Notes in Computer Science},
  volume = {3526},
  pages = {552--561},
  publisher = {Springer},
  address = {Berlin},
  note = {First Conference on Computability in Europe, CiE 2005, Amsterdam, The
  Netherlands, June 2005}
}

@InProceedings{Zho06,
  author = {Zheng, Xizhong},
  title = {A Computability Theory of Real Numbers},
  booktitle = {Logical Approaches to Computational Barriers},
  editor = {Beckmann, A. and Berger, U. and L{\"o}we, B. and Tucker, J.V.},
  year = {2006},
  series = {Lecture Notes in Computer Science},
  volume = {3988},
  pages = {584--594},
  publisher = {Springer},
  address = {Berlin},
  note = {Second Conference on Computability in Europe, CiE 2006, Swansea, UK,
  June 30-July 5, 2006}
}

@Article{Zho07,
  author = {Zhong, Ning},
  title = {Computable Analysis of a Boundary-Value Problem for the
  {K}orteweg-de {V}ries Equation},
  journal = {Theory of Computing Systems},
  year = {2007},
  volume = {41},
  number = {1},
  pages = {155--175}
}

@PhdThesis{Zho92,
  author = {Zhou, Qing},
  title = {Computability on open and closed subsets of {E}uclidean space},
  year = {1992},
  type = {Thesis},
  school = {University of Minnesota},
  address = {Minneapolis}
}

@Article{Zho96,
  author = {Zhou, Qing},
  title = {Computable real-valued functions on recursive open and closed
  subsets of {E}uclidean space},
  journal = {Mathematical Logic Quarterly},
  year = {1996},
  volume = {42},
  pages = {379--409}
}

@Article{Zho96a,
  author = {Zhong, Ning},
  title = {Effective Separation Axioms},
  journal = {Questions and Answers in General Topology},
  year = {1996},
  volume = {14},
  number = {2},
  pages = {177--185}
}

@InProceedings{Zho97,
  author = {Zhou, Qing},
  title = {Subclasses of Computable Real Valued Functions},
  booktitle = {Computing and Combinatorics},
  editor = {Jiang, Tao and Lee, D.T.},
  year = {1997},
  series = {Lecture Notes in Computer Science},
  volume = {1276},
  pages = {156--165},
  publisher = {Springer},
  address = {Berlin},
  note = {Third Annual Conference, COCOON'97, Shanghai, China, August 1997}
}

@Article{Zho97a,
  author = {Zhong, Ning},
  title = {Effective collectionwise {H}ausdorff and normal axioms},
  journal = {Questions and Answers in General Topology},
  year = {1997},
  volume = {15},
  number = {2},
  pages = {225--230}
}

@Article{Zho98,
  author = {Zhong, Ning},
  title = {Recursively Enumerable Subsets of ${R}^q$ In Two Computing Models:
  {B}lum-{S}hub-{S}male Machine and {T}uring Machine},
  journal = {Theoretical Computer Science},
  year = {1998},
  volume = {197},
  pages = {79--94}
}

@Article{Zho98a,
  author = {Zhong, Ning},
  title = {Derivatives of computable functions},
  journal = {Mathematical Logic Quarterly},
  year = {1998},
  volume = {44},
  pages = {304--316}
}

@Article{Zho99,
  author = {Zhong, Ning},
  title = {Computability structure of the {S}obolev spaces and its
  applications},
  journal = {Theoretical Computer Science},
  year = {1999},
  volume = {219},
  pages = {487--510}
}

@Article{Zie02,
  author = {Ziegler, Martin},
  title = {Computability on Regular Subsets of {E}uclidean Space},
  journal = {Mathematical Logic Quarterly},
  year = {2002},
  volume = {48},
  number = {Suppl. 1},
  pages = {157--181}
}

@PhdThesis{Zie02a,
  author = {Ziegler, Martin},
  title = {Zur Berechenbarkeit reeller geometrischer Probleme},
  year = {2002},
  school = {Fachbereich Mathematik/Informatik, Universit\"at Paderborn},
  address = {Paderborn}
}

@InProceedings{Zie03,
  author = {Ziegler, Martin},
  title = {Computable operators on regular sets},
  booktitle = {Computability and Complexity in Analysis},
  editor = {Brattka, Vasco and Schr{\"{o}}der, Matthias and Weihrauch, Klaus
  and Zhong, Ning},
  year = {2003},
  month = {August},
  series = {Informatik Berichte},
  volume = {302},
  pages = {389--406},
  publisher = {FernUniversit\"at in Hagen},
  note = {International Conference, CCA 2003, Cincinnati, USA, August 28--30,
  2003}
}

@InProceedings{Zie03a,
  author = {Ziegler, Martin},
  title = {Stability versus Speed in a Computable Algebraic Model},
  booktitle = {RNC'5 Real Numbers and Computers},
  editor = {Daumas, Marc et al.},
  year = {2003},
  pages = {47--64},
  organization = {INRIA, Institut National de Recherche en Informatique et en
  Automatique},
  note = {Lyon, September 3--5, 2003}
}

@Article{Zie04,
  author = {Ziegler, Martin},
  title = {Computable operators on regular sets},
  journal = {Mathematical Logic Quarterly},
  year = {2004},
  volume = {50},
  number = {4,5},
  pages = {392--404}
}

@InProceedings{Zie05,
  author = {Ziegler, Martin},
  title = {Computability and Continuity on the Real Arithmetic Hierarchy and
  the Power of Type-2 Nondeterminism},
  booktitle = {New Computational Paradigms},
  editor = {Cooper, Barry S. and L{\"o}we, Benedikt and Torenvliet, Leen},
  year = {2005},
  series = {Lecture Notes in Computer Science},
  volume = {3526},
  pages = {562--571},
  publisher = {Springer},
  address = {Berlin},
  note = {First Conference on Computability in Europe, CiE 2005, Amsterdam, The
  Netherlands, June 2005}
}

@Article{Zie06,
  author = {Ziegler, Martin},
  title = {Stability versus speed in a computable algebraic model},
  journal = {Theoretical Computer Science},
  year = {2006},
  volume = {351},
  number = {1},
  pages = {14--26}
}

@Article{Zie06b,
  author = {Ziegler, Martin},
  title = {Effectively open real functions},
  journal = {Journal of Complexity},
  year = {2006},
  volume = {22},
  number = {6},
  pages = {827--849}
}

@InProceedings{Zie07,
  author = {Ziegler, Martin},
  title = {Revising type-2 computation and degrees of discontinuity},
  booktitle = {Proceedings of the Third International Conference on
  Computability and Complexity in Analysis},
  editor = {Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
  Klaus},
  year = {2007},
  series = {Electronic Notes in Theoretical Computer Science},
  volume = {167},
  pages = {255--274},
  publisher = {Elsevier},
  address = {Amsterdam},
  note = {CCA 2006, Gainesville, Florida, USA, November 1--5, 2006}
}

@Article{Zie07a,
  author = {Ziegler, Martin},
  title = {Real Hypercomputation and Continuity},
  journal = {Theory of Computing Systems},
  year = {2007},
  volume = {41},
  number = {1},
  pages = {177--206}
}

@InProceedings{Zie07b,
  author = {Ziegler, Martin},
  title = {({S}hort) Survey of Real Hypercomputation},
  booktitle = {Computation and Logic in the Real World},
  editor = {Cooper, S. Barry and L{\"o}we, Benedikt and Sorbi, Andrea},
  year = {2007},
  series = {Lecture Notes in Computer Science},
  volume = {4497},
  pages = {809--824},
  publisher = {Springer},
  address = {Berlin},
  note = {Third Conference on Computability in Europe, CiE 2007, Siena, Italy,
  June 18-23, 2007}
}