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Müller, Norbert Th., The iRRAM: Exact Arithmetic in C++, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of Lecture Notes in Computer Science, Springer, Berlin, 2001, pages 222-252
Rettinger, Robert and Zheng, Xizhong, Hierarchy of Monotonically Computable Real Numbers, in: Sgall, Jiří and Pultr, Aleš and Kolman, Petr (eds.), Mathematical Foundations of Computer Science 2001, vol. 2136 of Lecture Notes in Computer Science, Springer, Berlin, 2001, pages 633-644
Rettinger, Robert and Zheng, Xizhong and Gengler, Romain and von Braunmühl, Burchard, Monotonically Computable Real Numbers, in: Calude, C.S. and Dinneen, M.J. and Sburlan, S. (eds.), Combinatorics, Computability and Logic, Discrete Mathematics and Theoretical Computer Science, Springer, London, 2001, pages 187-201
Rettinger, Robert and Zheng, Xizhong and Gengler, Romain and von Braunmühl, Burchard, Weakly Computable Real Numbers and Total Computable Real Functions, in: Wang, Jie (ed.), Computing and Combinatorics, vol. 2108 of Lecture Notes in Computer Science, Springer, Berlin, 2001, pages 586-595
Richardson, Daniel, The Uniformity Conjecture, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of Lecture Notes in Computer Science, Springer, Berlin, 2001, pages 253-272
Richman, Fred, Constructive Mathematics without Choice, in: Peter Schuster and Ulrich Berger and Horst Osswald (eds.), Reuniting the Antipodes: Constructive and Nonstandard Views of the Continuum, vol. 306 of Synthese Library, Kluwer A. P., 2001
Schröder, Matthias, Admissible Representations of Limit Spaces, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of Lecture Notes in Computer Science, Springer, Berlin, 2001, pages 273-295
Schuster, Peter and Berger, Ulrich and Osswald, Horst (eds.), Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum, Proceedings of the symposium held in Venice, May 16-22, 1999, vol. 306 of Synthese Library, Kluwer Academic Publishers, Dordrecht, 2001
Schuster, Peter and Vîţă, Luminiţa and Bridges, Douglas S., Apartness as a Relation Between Subsets, in: Calude, C.S. and Dinneen, M.J. and Sburlan, S. (eds.), Combinatorics, Computability and Logic, Discrete Mathematics and Theoretical Computer Science, Springer, London, 2001, pages 203-214
Skordev, Dimiter, Characterization of the Computable Real Numbers by Means of Primitive Recursive Functions, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of Lecture Notes in Computer Science, Springer, Berlin, 2001, pages 296-309
Spreen, Dieter, Representations versus numberings: on the relationship of two computability notions, Theoretical Computer Science262 (2001) 473-499
Spreen, Dieter, Can partial indexings be totalized?, The Journal of Symbolic Logic66:3 (2001) 1157-1185
Spreen, Dieter and Schulz, Holger, On the equivalence of some approaches to computability on the real line, in: Keimel, Klaus and Zhang, Guo-Qiang and Liu, Ying Ming and Chen, Yixiang (eds.), Domains and processes, vol. 1 of Semantics Structures in Computation, Kluwer, Dordrecht, 2001, pages 67-101
Takeuti, Izumi, Effective Fixed Point Theorem Over a Non-computably Separable Metric Space, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of Lecture Notes in Computer Science, Springer, Berlin, 2001, pages 310-322
Tsuiki, Hideki, Computational Dimension of Topological Spaces, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of Lecture Notes in Computer Science, Springer, Berlin, 2001, pages 323-335
Tsujii, Yoshiki and Yasugi, Mariko and Mori, Takakazu, Some Properties of the Effective Uniform Topological Space, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of Lecture Notes in Computer Science, Springer, Berlin, 2001, pages 336-356
Weihrauch, Klaus, On Computable Metric Spaces Tietze-Urysohn Extension is Computable, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of Lecture Notes in Computer Science, Springer, Berlin, 2001, pages 357-368
Weihrauch, Klaus and Zhong, Ning, Is the Linear Schrödinger Propagator Turing Computable?, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of Lecture Notes in Computer Science, Springer, Berlin, 2001, pages 369-377
Weihrauch, Klaus and Zhong, Ning, Turing Computability of a Nonlinear Schrödinger Propagator, in: Wang, Jie (ed.), Computing and Combinatorics, vol. 2108 of Lecture Notes in Computer Science, Springer, Berlin, 2001, pages 596-599
Zheng, Xizhong and Weihrauch, Klaus, The Arithmetical Hierarchy of Real Numbers, Mathematical Logic Quarterly47:1 (2001) 51-65
Zhou, Qing, Relatively computable functions of real variables, Computing67:2 (2001) 167-181
Ziegler, Martin and Brattka, Vasco, Turing Computability of (Non-)Linear Optimization, in: Therese Biedl (ed.), Thirteenth Canadian Conference on Computational Geometry, University of Waterloo, 2001, pages 181-184
Ziegler, Martin and Brattka, Vasco, A Computable Spectral Theorem, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of Lecture Notes in Computer Science, Springer, Berlin, 2001, pages 378-388
V'yugin, Vladimir V., Non-robustness property of the individual ergodic theorem, Problems of Information Transmission37:2 (2001) 27-39
2000
Kamo, Hiroyasu and Kawamura, Kiko and Takeuti, Izumi, Computational complexity of fractal sets, Real Analysis Exchange26:2 (2000/01) 773-793
Ambos-Spies, Klaus and Weihrauch, Klaus and Zheng, Xizhong, Weakly Computable Real Numbers, Journal of Complexity16:4 (2000) 676-690
Bauer, Andrej, The Realizability Approach to Computable Analysis and Topology, PhD thesis, School of Computer Science, Carnegie Mellon University, Pittsburgh, 2000
Brattka, Vasco, Realistic models of computability on the real numbers, in: Yoshikawa, Atsushi (ed.), Relevance and Feasibility of Mathematical Analysis on the Computer, vol. 1169 of Sūrikaisekikenkyūsho Kōkyūroku, Research Institute for Mathematical Sciences, Kyoto, 2000, pages 62-75
Bridges, Douglas S., Converses of Bishop's lemma on located sets, Indagationes Mathematicae11:1 (2000) 31-38
Bridges, Douglas S., A constructive look at functions of bounded variation, Bull. London Math. Soc.32:3 (2000) 316-324
Bridges, Douglas S., Constructive methods in Banach algebra theory, Mathematica Japonica52:1 (2000) 145-161
Bridges, Douglas S. and Dediu, Luminiţa, The weak-operator sequential continuity of left multiplication, Indagationes Mathematicae11:1 (2000) 39-42
Bridges, Douglas S. and Havea, Robin, A constructive analysis of a proof that the numerical range is convex, London Math. Soc. Journal of Mathematics and Computation3 (2000) 191-206
Bridges, Douglas S. and Mahalanobis, Ayan, Sequential continuity of functions in constructive analysis, Mathematical Logic Quarterly46:1 (2000) 139-143
Bridges, Douglas S. and Richman, Fred and Schuster, Peter, Linear independence without choice, Annals of Pure and Applied Logic101:1 (2000) 95-102
Bridges, Douglas S. and Richman, Fred and Schuster, Peter, A weak countable choice principle, Proceedings of the American Mathematical Society128:9 (2000) 2749-2752
Bridges, Douglas S. and Richman, Fred and Schuster, Peter, Adjoints, absolute values, and polar decompositions, J. Operator Theory44:2 (2000) 243-254
Bridges, Douglas S. and Svozil, Karl, Constructive mathematics and quantum physics, J. Theor. Physics39 (2000) 501-513
Bridges, Douglas S. and Vîţă, Luminiţa, Constructing extensions of ultraweakly continuous linear functionals, J. Functional Analysis178:2 (2000) 421-434
Burrows, Ashley and Lester, David, Exact Arithmetic and the Korteweg-de Vries Equation, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch, Klaus (eds.), Computability and Complexity in Analysis, vol. 272 of Informatik Berichte, FernUniversität Hagen, 2000, pages 23-41
Buy, Dmitry, Some Remarks about Fixpoint Theorems, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch, Klaus (eds.), Computability and Complexity in Analysis, vol. 272 of Informatik Berichte, FernUniversität Hagen, 2000, pages 43-52
Cenzer, Douglas and Jockusch, Jr., Carl G., Π_ 1^ 0 classes-Structure and Applications, in: Computability theory and its applications, vol. 257 of Contemporary Mathematics, American Mathematical Society, Providence, 2000, pages 39-59
Ciaffaglione, Alberto and Di Gianantonio, Pietro, A Co-inductive Approach to Real Numbers, in: Coquand, Thierry and Dybjer, Peter and Nordström, Bengt and Smith, Jan (eds.), Types for Proofs and Programs, vol. 1956 of Lecture Notes in Computer Science, Springer, Berlin, 2000, pages 114-130
Edalat, Abbas and Kashefi, Elham and Lieutier, André, The Convex Hull is Computable!, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch, Klaus (eds.), Computability and Complexity in Analysis, vol. 272 of Informatik Berichte, FernUniversität Hagen, 2000, pages 75-77
Edalat, Abbas and Lieutier, André, Domain of Differentiable Functions, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch, Klaus (eds.), Computability and Complexity in Analysis, vol. 272 of Informatik Berichte, FernUniversität Hagen, 2000, page 79
Fouché, Willem, Arithmetical Representation of Brownian Motion I, The Journal of Symbolic Logic65 (2000) 421-442
Fouché, Willem, The Descriptive Complexity of Brownian Motion, Advances in Mathematics155 (2000) 317-343
Galatolo, Stefano, Orbit computability by computable structures, Nonlinearity13 (2000) 1531-1546
Gärtner, Tobias and Hotz, Günter, Recursive Analytic Functions of a Complex Variable, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch, Klaus (eds.), Computability and Complexity in Analysis, vol. 272 of Informatik Berichte, FernUniversität Hagen, 2000, pages 81-97
Hemmerling, Armin, Berechenbarkeit über den reellen Zahlen, der approximative und der algebraische Zugang, in: Flachsmeyer, Jürgen and Fritsch, Rudolph and Reichel, Hans-Christian (eds.), Mathematik-interdisziplinär, Shaker Verlag, Aachen, 2000, pages 167-176
Hemmerling, Armin, On the Time Complexity of Partial Real Functions, Journal of Complexity16 (2000) 363-376
Kelsey, Tom, Exact Numerical Computation via Symbolic Computation, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch, Klaus (eds.), Computability and Complexity in Analysis, vol. 272 of Informatik Berichte, FernUniversität Hagen, 2000, pages 187-197
Kohlenbach, Ulrich, Things that can and things that cannot be done in PRA, Annals of Pure and Applied Logic102 (2000) 223-245
Konečný, Michal, Many-Valued Real Functions Computable by Finite Transducers using IFS-Representations, PhD thesis, School of Computer Science, University of Birmingham, Birmingham, 2000
Lisovik, Leonid and Shkaravska, Olha, On Fractal Dimension of Sets Defined by Transducers, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch, Klaus (eds.), Computability and Complexity in Analysis, vol. 272 of Informatik Berichte, FernUniversität Hagen, 2000, pages 261-270
Martin, Keye, Complexity and Verification of a Renee Equation, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter and Weihrauch, Klaus (eds.), Computability and Complexity in Analysis, vol. 272 of Informatik Berichte, FernUniversität Hagen, 2000, pages 271-286
Schuster, Peter, Elementary choiceless constructive analysis, in: Clote, Peter G. and Schwichtenberg, Helmut (eds.), Computer Science Logic, vol. 1862 of Lecture Notes in Computer Science, Springer, Berlin, 2000, pages 512-526
Schuster, Peter, A constructive look at generalized Cauchy reals, Mathematical Logic Quarterly46:1 (2000) 125-134
Spitters, Bas and Veldman, Wim, A constructive converse of the mean value theorem, Indagationes Mathematicae11:1 (2000) 151-157
Tucker, J.V. and Zucker, J.I., Computable Functions and Semicomputable Sets on Many-Sorted Algebras, in: Abramsky, S. and Gabbay, D.M. and Maibaum, T.S.E. (eds.), Handbook of Logic in Computer Science, Volume 5, Oxford University Press, Oxford, 2000, pages 317-523
Vîţă, Luminiţa Simona, A Constructive Development of Operator Algebra Theory, PhD thesis, Department of Mathematics & Statistics, University of Canterbury, Christchurch, 2000
Weihrauch, Klaus and Zheng, Xizhong, Computability on continuous, lower semi-continuous and upper semi-continuous real functions, Theoretical Computer Science234 (2000) 109-133
Yasugi, Mariko, How to understand the computability aspects of step functions, Sūrikaisekikenkyūsho Kōkyūroku1169 (2000) 84-91
Ye, Feng, Toward a constructive theory of unbounded linear operators, The Journal of Symbolic Logic65:1 (2000) 357-370
Ziegler, Martin and Brattka, Vasco, Computing the Dimension of Linear Subspaces, in: Hlaváč, Václav and Jeffery, Keith G. and Wiedermann, Jiří (eds.), SOFSEM 2000: Theory and Practice of Informatics, vol. 1963 of Lecture Notes in Computer Science, Springer, Berlin, 2000, pages 450-458
1999
Apsītis, Kalvis and Arikawa, Setsuo and Freivalds, Rūsiņš and Hirowatari, Eiju and Smith, Carl H., On the inductive inference of recursive real-valued functions, Theoretical Computer Science219 (1999) 3-17
Bedregal, Benjamín René Callejas and Acióly, Benedito Melo, Effectively Given Continuous Domains: A Computable Interval Analysis, Electronic Journal on Mathematics of Computation0 (1999)
Blanck, Jens, Effective domain representations of H(X), the space of compact subsets, Theoretical Computer Science219 (1999) 19-48
Boldi, Paolo and Vigna, Sebastiano, Equality is a Jump, Theoretical Computer Science219 (1999) 49-64
Brattka, Vasco, A Stability Theorem for Recursive Analysis, in: Cristian S. Calude and Michael J. Dinneen (eds.), Combinatorics, Computation & Logic, Discrete Mathematics and Theoretical Computer Science, Springer, Singapore, 1999, pages 144-158
Bridges, D. S. and Calude, C. and Pavlov, B. and Ştefănescu, D., The constructive implicit function theorem and applications in mechanics, Chaos, Solitons and Fractals10:6 (1999) 927-934
Bridges, Douglas S., Constructive methods in mathematical economics, in: Herden, Gerhard and Knoche, Norbert and Seidl, Christian and Trockel, Walter (eds.), Mathematical utility theory (Essen, 1997), vol. Supp. 8 of Journal of Economy, Springer, Vienna, 1999, pages 1-21
Bridges, Douglas S., Constructive mathematics: a foundation for computable analysis, Theoretical Computer Science219 (1999) 95-109
Bridges, Douglas S., Can constructive mathematics be applied in physics?, Journal of Philosophical Logic28:5 (1999) 439-453
Bridges, Douglas S. and Dediu, Luminiţa, Weak continuity properties in constructive analysis, Logic Journal of the IGPL. Interest Group in Pure and Applied Logics7:3 (1999) 277-281
Bridges, Douglas S. and Dediu, Luminiţa, Weak-operator continuity and the existence of adjoints, Mathematical Logic Quarterly45:2 (1999) 203-206
Bridges, Douglas S. and Ishihara, Hajime and Schuster, Peter, Sequential Compactness in Constructive Analysis, Österr. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II.208 (1999) 159-163
Bridges, Douglas S. and Reeves, Steve, Constructive mathematics in theory and programming practice, Philosophia Mathematica. Philosophy of Mathematics, its Learning, and its Application. Series III7:1 (1999) 65-104
Calude, C. S. and Coles, R. and Hertling, P. H. and Khoussainov, B., Degree Theoretic Aspects of Computably Enumerable Reals, in: S. B. Cooper and J. K. Truss (eds.), Models and Computability, vol. 259 of London Math. Society Lecture Note Series, Cambridge University Press, Cambridge, 1999, pages 23-39
Cenzer, Douglas, Π^0_1-classes in computability theory, in: Griffor, Edward R. (ed.), Handbook of Computability Theory, vol. 140 of Studies in Logic and the Foundations of Mathematics, Elsevier, Amsterdam, 1999, pages 37-85
Cenzer, Douglas and Remmel, Jeffrey B., Index sets in computable analysis, Theoretical Computer Science219 (1999) 111-150
Chadzelek, Thomas and Hotz, Günter, Analytic machines, Theoretical Computer Science219 (1999) 151-167
Dediu, Luminiţa and Bridges, Douglas S., Constructive notes on uniform and locally convex spaces, in: Ciobanu, G. and Pun, G. (eds.), Fundamentals of computation theory, vol. 1684 of Lecture Notes in Computer Science, Springer, Berlin, 1999, pages 195-203
Di Gianantonio, Pietro, An abstract data type for real numbers, Theoretical Computer Science221 (1999) 295-326
Edalat, Abbas and Krznarić, Marko, Numerical Integration with Exact Real Arithmetic, in: Wiedermann, Jiří and van Emde Boas, Peter and Nielsen, Mogens (eds.), Automata, Languages and Programming, vol. 1644 of Lecture Notes in Computer Science, Springer, Berlin, 1999, pages 90-104
Edalat, Abbas and Sünderhauf, Philipp, A domain-theoretic approach to computability on the real line, Theoretical Computer Science210 (1999) 73-98
Edalat, Abbas and Sünderhauf, Philipp, Computable Banach spaces via domain theory, Theoretical Computer Science219 (1999) 169-184
Escardó, Martín Hötzel and Streicher, Thomas, Induction and recursion on the partial real line with applications to Real PCF, Theoretical Computer Science210 (1999) 121-157
Galatolo, Stefano, Pointwise information entropy for metric spaces, Nonlinearity12 (1999) 1289-1298
Hemmerling, Armin, On Approximative and Algebraic Computability over the Real Numbers, Theoretical Computer Science219 (1999) 185-223
Hertling, Peter, Standard Representations of Real Numbers, Chaos, Solitons & Fractals10:6 (1999) 1087-1101
Hertling, Peter, A Real Number Structure that is Effectively Categorical, Mathematical Logic Quarterly45:2 (1999) 147-182
Ho, Chun-Kuen, Relatively recursive reals and real functions, Theoretical Computer Science210:1 (1999) 99-120
Kalantari, Iraj and Welch, Lawrence, Recursive and nonextendible functions over the reals; filter foundation for recursive analysis, II, Annals of Pure and Applied Logic98:1-3 (1999) 87-110
Kamo, Hiroyasu and Kawamura, Kiko, Computability of Self-Similar Sets, Mathematical Logic Quarterly45 (1999) 23-30
Kapron, Bruce M., Feasibly continuous type-two functionals, Computational Complexity8:2 (1999) 188-201
Khalouani, Mohamed and Labhalla, Salah and Lombardi, Henri, Étude constructive de problèmes de topologie pour les réels irrationnels, Mathematical Logic Quarterly45:2 (1999) 257-288
Kohlenbach, Ulrich, The use of a logical principle of uniform boundedness in analysis, in: Cantini, A. and Casari, E. and Minari, P. (eds.), Logic and Foundations of Mathematics, vol. 280 of Synthese Library, Kluwer Academic Publishers, 1999, pages 93-106
Koiran, Pascal and Moore, Christopher, Closed-form analytic maps in one and two dimensions can simulate universal Turing machines, Theoretical Computer Science219 (1999) 217-223
Korovina, M.V. and Kudinov, O.V., Some properties of majorant-computability, in: Arslanov, Marat M. and Lempp, Steffen (eds.), Recursion Theory and Complexity, vol. 2 of Logic and Its Applications, de Gruyter, Berlin, 1999, pages 97-114
Korovina, M.V. and Kudinov, O.V., Characteristic properties of majorant-computability over the reals, in: Gottlob, Georg and Grandjean, Etienne and Seyr, Katrin (eds.), Computer Science Logic, vol. 1584 of Lecture Notes in Computer Science, Springer, Berlin, 1999, pages 188-203
Kushner, Boris Abramovich, Markov's constructive analysis; a participant's view, Theoretical Computer Science219 (1999) 267-285
Müller, Norbert Th., Computability on random variables, Theoretical Computer Science219:1-2 (1999) 287-299
Nerode, Anil and Ko, Ker-I and Weihrauch, Klaus (eds.), Computability and Complexity in Analysis, Special issue of Theoretical Computer Science, Elsevier, Amsterdam, 1999
Plato, Jan von, Order in open intervals of computable reals, Mathematical Structures in Computer Science9 (1999) 103-108
Pour-El, Marian B., The structure of computability in analysis and physical theory: An extension of Church's thesis, in: Griffor, Edward R. (ed.), Handbook of Computability Theory, vol. 140 of Studies in Logic and the Foundations of Mathematics, Elsevier, Amsterdam, 1999, pages 449-471
Pour-El, Marian B., From axiomatics to intrinsic characterization: some open problems in computable analysis, Theoretical Computer Science219 (1999) 319-329
Richman, Fred and Bridges, Douglas S., A constructive proof of Gleason's theorem, Journal of Functional Analysis162:2 (1999) 287-312
Richter, Marcel K. and Wong, Kam-Chau, Computable preference and utility, Journal of Mathematical Economics32:3 (1999) 339-354
Richter, Marcel K. and Wong, Kam-Chau, Non-computability of competitive equilibrium, Economic Theory14:1 (1999) 1-27
Simpson, Stephen G., Subsystems of Second Order Arithmetic, Perspectives in Mathematical Logic, Springer, Berlin, 1999
Staiger, Ludwig, The Kolmogorov Complexity of Real Numbers, in: Ciobanu, G. and Paun, Gh. (eds.), Fundamentals of Computation Theory, vol. 1684 of Lecture Notes in Computer Science, Springer, Berlin, 1999, pages 536-546
Stewart, Kristian Jon, Concrete and Abstract Models of Computation over Metric Algebras, PhD thesis, University of Wales Swansea, Singleton Park, Swansea, SA2 8PP, UK, 1999
Stoltenberg-Hansen, Viggo and Tucker, John V., Concrete models of computation for topological algebras, Theoretical Computer Science219 (1999) 347-378
Tucker, J.V. and Zucker, J.I., Computation by 'While' Programs on Topological Partial Algebras, Theoretical Computer Science219 (1999) 379-420
Washihara, Masako, Computability and tempered distributions, Mathematica Japonica50:1 (1999) 1-7
Weihrauch, Klaus, Computability on the probability measures on the Borel sets of the unit interval, Theoretical Computer Science219 (1999) 421-437
Weihrauch, Klaus and Zheng, Xizhong, Effectiveness of the global modulus of continuity on metric spaces, Theoretical Computer Science219 (1999) 439-450
Weihrauch, Klaus and Zhong, Ning, The Wave Propagator is Turing Computable, in: Wiedermann, Jiří and van Emde Boas, Peter and Nielsen, Mogens (eds.), Automata, Languages and Programming, vol. 1644 of Lecture Notes in Computer Science, Springer, Berlin, 1999, pages 697-706
Woźniakowski, Henryk, Why does information-based complexity use the real number model?, Theoretical Computer Science219 (1999) 451-465
Yamakawa, Takeshi and Kreinovich, Vladik, Why fundamental physical equations are of second order?, International Journal of Theoretical Physics38:6 (1999) 1763-1770
Yasugi, Mariko and Mori, Takakazu and Tsujii, Yoshiki, Effective properties of sets and functions in metric spaces with computability structure, Theoretical Computer Science219 (1999) 467-486
Zheng, Xizhong, Binary Enumerability of Real Numbers, in: Asana, Takao and Imai, Hiroshi and Lee, D.T. and Nakano, Shin-ichi and Tokuyama, Takeshi (eds.), Computing and Combinatorics, vol. 1627 of Lecture Notes in Computer Science, Springer, Berlin, 1999, pages 300-309
Zheng, Xizhong and Weihrauch, Klaus, The Arithmetical Hierarchy of Real Numbers, in: Kutyłowski, Mirosław and Pacholski, Leszek and Wierzbicki, Tomasz (eds.), Mathematical Foundations of Computer Science 1999, vol. 1672 of Lecture Notes in Computer Science, Springer, Berlin, 1999, pages 23-33
Zhong, Ning, Computability structure of the Sobolev spaces and its applications, Theoretical Computer Science219 (1999) 487-510
Zhong, Ning and Zhang, Bing-Yu, L^p-Computability, Mathematical Logic Quarterly45:4 (1999) 449-456
1998
Boldi, Paolo and Vigna, Sebastiano, δ-uniform BSS Machines, Journal of Complexity14:2 (1998) 234-256
Brattka, Vasco and Kalantari, Iraj, A Bibliography of Recursive Analysis and Recursive Topology, in: Ershov, Yu. L. and Goncharov, S.S. and Nerode, A. and Remmel, J.B. (eds.), Handbook of Recursive Mathematics, vol. 138 of Studies in Logic and the Foundations of Mathematics, Elsevier, Amsterdam, 1998, pages 583-620
Bridges, D. S. and Dudley Ward, N. F., Constructing ultraweakly continuous functionals on B(H), Proceedings of the American Mathematical Society126:11 (1998) 3347-3353
Bridges, Douglas S., Bishop's Principle, in: Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch, Klaus and Wiedermann, Jiří (eds.), Computability and Complexity in Analysis, vol. 235 of Informatik Berichte, FernUniversität Hagen, 1998, pages 17-20
Bridges, Douglas S., Constructive truth in practice, in: Truth in mathematics (Mussomeli, 1995), Oxford Univ. Press, New York, 1998, pages 53-69
Bridges, Douglas S. and Ishihara, Hajime, A definite constructive open mapping theorem?, Mathematical Logic Quarterly44:4 (1998) 545-552
Bridges, Douglas S. and Mines, Ray, Sequentially continuous linear mappings in constructive analysis, The Journal of Symbolic Logic63:2 (1998) 579-583
Bridges, Douglas S. and Wang, Yuchuan, Constructive weak solutions of the Dirichlet problem, The Journal of the London Mathematical Society. Second Series57:3 (1998) 655-667
Bridges, Douglas S. and Wang, Yuchuan, Constructing best approximations on a Jordan curve, Journal of Approximation Theory94:2 (1998) 222-234
Bridges, Douglas S. and Wang, Yuchuan, Weak solutions of the Dirichlet problem and the locatedness of H^1_0(Ω), New Zealand Journal of Mathematics27:1 (1998) 1-5
Calude, Cristian S. and Hertling, Peter, Computable approximations of reals: An information-theoretic analysis, Fundamenta Informaticae33:2 (1998) 105-120
Calude, Cristian S. and Hertling, Peter and Khoussainov, Bakhadyr and Yongge Wang, Recursively enumerable reals and Chaitin Ω numbers, in: Morvan, Michel et al. (eds.), STACS'98, vol. 1373 of Lecture Notes in Computer Science, Springer, Berlin, 1998, pages 596-606
Cenzer, Douglas and Remmel, J.B., Π^0_1-classes in mathematics, in: Ershov, Yu. L. and Goncharov, S.S. and Nerode, A. and Remmel, J.B. and Marek, V.W. (eds.), Handbook of Recursive Mathematics, vol. 139 of Studies in Logic and the Foundations of Mathematics, Elsevier, Amsterdam, 1998, pages 623-821
Chadzelek, Thomas, Analytische Maschinen, PhD thesis, Technische Fakultät der Universität des Saarlandes, Saarbrücken, 1998
Edalat, Abbas and Heckmann, Reinhold, A computational model for metric spaces, Theoretical Computer Science193 (1998) 53-73
Edalat, Abbas and Rico, Fabien, Root Finding in Exact Real Arithmetic Using Linear Fractional Transformations, in: Chesneaux, J.-M. and Jézéquel, F. and Lamotte, J.-L. and Vignes, J. (eds.), Third Real Numbers and Computers Conference, Université Pierre et Marie Curie, Paris, 1998, pages 27-43
Esbelin, Henri-Alex, Rudimentary computable reals, in: Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch, Klaus and Wiedermann, Jiří (eds.), Computability and Complexity in Analysis, vol. 235 of Informatik Berichte, FernUniversität Hagen, 1998, pages 21-30
Hemmerling, Armin, On the Time Complexity of Partial Real Functions, in: Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch, Klaus and Wiedermann, Jiří (eds.), Computability and Complexity in Analysis, vol. 235 of Informatik Berichte, FernUniversität Hagen, 1998, pages 31-40
Hertling, Peter and Weihrauch, Klaus, Randomness Spaces, in: Kim G. Larsen and Sven Skyum and Glynn Winskel (eds.), Automata, Languages and Programming, vol. 1443 of Lecture Notes in Computer Science, Springer, Berlin, 1998, pages 796-807
Kalantari, Iraj and Welch, Lawrence, Point-free topological spaces, functions and recursive points; filter foundation for recursive analysis. I, Annals of Pure and Applied Logic93:1-3 (1998) 125-151
Kamo, Hiroyasu and Kawamura, Kiko and Takeuti, Izumi, Hausdorff Dimension and Computational Complexity, in: Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch, Klaus and Wiedermann, Jiří (eds.), Computability and Complexity in Analysis, vol. 235 of Informatik Berichte, FernUniversität Hagen, 1998, pages 41-50
Ko, Ker-I, Polynomial-Time Computability in Analysis, in: Ershov, Yu. L. and Goncharov, S.S. and Nerode, A. and Remmel, J.B. (eds.), Handbook of Recursive Mathematics, vol. 139 of Studies in Logic and the Foundations of Mathematics, Elsevier, Amsterdam, 1998, pages 1271-1317
Ko, Ker-I, On the computability of fractal dimensions and Hausdorff measure, Annals of Pure and Applied Logic93 (1998) 195-216
Kohlenbach, Ulrich, Proof theory and computational analysis, Electronic Notes in Theoretical Computer Science13 (1998) 1-34
Korovina, M.V. and Kudinov, O.V., Majorant-computability and definability over the reals, in: Chesneaux, J.-M. and Jézéquel, F. and Lamotte, J.-L. and Vignes, J. (eds.), Third Real Numbers and Computers Conference, Université Pierre et Marie Curie, Paris, 1998, pages 61-80
Korovina, M.V. and Kudinov, O.V., A new approach to computability over the reals, Siberian Advances in Mathematics8:3 (1998) 59-73
Lieutier, Andrè, Toward a data type for Solid Modeling based on Domain Theory, in: Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch, Klaus and Wiedermann, Jiří (eds.), Computability and Complexity in Analysis, vol. 235 of Informatik Berichte, FernUniversität Hagen, 1998, pages 51-60
Müller, Norbert Th., Implementing limits in an interactive RealRAM, in: Chesneaux, J.-M. and Jézéquel, F. and Lamotte, J.-L. and Vignes, J. (eds.), Third Real Numbers and Computers Conference, Université Pierre et Marie Curie, Paris, 1998, pages 59-66
Pour-El, Marian B., Some Open Problems in Computable Analysis, in: Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch, Klaus and Wiedermann, Jiří (eds.), Computability and Complexity in Analysis, vol. 235 of Informatik Berichte, FernUniversität Hagen, 1998, page 61
Schröder, Matthias, Effective Metrization of Regular Spaces, in: Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch, Klaus and Wiedermann, Jiří (eds.), Computability and Complexity in Analysis, vol. 235 of Informatik Berichte, FernUniversität Hagen, 1998, pages 63-80
Schulz, Holger, Type 2 Theory of Effectivity and Real PCF, in: Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch, Klaus and Wiedermann, Jiří (eds.), Computability and Complexity in Analysis, vol. 235 of Informatik Berichte, FernUniversität Hagen, 1998, pages 81-90
Spreen, Dieter, On Effective Topological Spaces, The Journal of Symbolic Logic63:1 (1998) 185-221
Terwijn, Sebastiaan Augustinus, Computability and Measure, PhD thesis, Institute for Logic, Language and Computation, University Amsterdam, 1998
Tsuiki, Hideki, Grey Code Representation of Exact Real Numbers, in: Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch, Klaus and Wiedermann, Jiří (eds.), Computability and Complexity in Analysis, vol. 235 of Informatik Berichte, FernUniversität Hagen, 1998, pages 91-102
Weihrauch, Klaus, A Refined Model of Computation for Continuous Problems, Journal of Complexity14 (1998) 102-121
Weihrauch, Klaus and Zheng, Xizhong, A Finite Hierarchy of the Recursively Enumerable Real Numbers, in: Brim, Luboš and Gruska, Jozef and Zlatuška, Jiří (eds.), Mathematical Foundations of Computer Science 1998, vol. 1450 of Lecture Notes in Computer Science, Springer, Berlin, 1998, pages 798-806
Yasugi, Mariko, Computability problem of Gaussian function, in: Ko, Ker-I and Nerode, Anil and Pour-El, Marian B. and Weihrauch, Klaus and Wiedermann, Jiří (eds.), Computability and Complexity in Analysis, vol. 235 of Informatik Berichte, FernUniversität Hagen, 1998, pages 157-165
Zheng, Xizhong, Weak Computability and Semi-Computability in Analysis, PhD thesis, Fachbereich Informatik, FernUniversität Hagen, 1998
Zhong, Ning, Recursively Enumerable Subsets of R^q In Two Computing Models: Blum-Shub-Smale Machine and Turing Machine, Theoretical Computer Science197 (1998) 79-94
V'yugin, Vladimir V., Ergodic Theorems for Individual Random Sequences, Theoretical Computer Science207:4 (1998) 343-361
1997
Blanck, Jens, Domain representability of metric spaces, Annals of Pure and Applied Logic83 (1997) 225-247
Blanck, Jens, Computability on topological spaces by effective domain representations, PhD thesis, Uppsala University, Department of Mathematics, Uppsala, Sweden, 1997
Brattka, Vasco, Computable Invariance, in: Jiang, Tao and Lee, D.T. (eds.), Computing and Combinatorics, vol. 1276 of Lecture Notes in Computer Science, Springer, Berlin, 1997, pages 146-155
Bridges, Douglas S. and Dediu, Luminiţa, Paradise lost, or paradise regained?, Bulletin of the European Association for Theoretical Computer Science63 (1997) 141-155
Bridges, Douglas S. and Wang, Yuchuan, Constructive aspects of the Dirichlet problem, Journal of Universal Computer Science3:11 (1997) 1148-1161 (electronic)
Bridges, Douglas S. and Wang, Yuchuan, Constructing cutoff functions, New Zealand Journal of Mathematics26:1 (1997) 25-30
Calude, Cristian S. and Hertling, Peter and Khoussainov, Bakhadyr, Do the Zeros of Riemann's Zeta-Function Form a Random Sequence?, Bulletin of the European Association for Theoretical Computer Science62 (1997) 199-207
Edalat, Abbas, Domains for Computation in Mathematics, Physics and Exact Real Arithmetic, Bulletin of Symbolic Logic3:4 (1997) 401-452
Edalat, Abbas and Potts, Peter John, A new representation for exact real numbers, Electronical Notes in Theoretical Computer Science6 (1997) 14 pp.
Escardó, Martín Hötzel, PCF extended with real numbers: a domain-theoretic approach to higher-order exact real number computation, PhD thesis, Imperial College, University of London, London, Great Britain, 1997
Hertling, Peter, Effectivity and Effective Continuity of Functions between Computable Metric Spaces, in: Bridges, Douglas S. and Calude, Cristian S. and Gibbons, Jeremy and Reeves, Steve and Witten, Ian H. (eds.), Combinatorics, Complexity, and Logic, Discrete Mathematics and Theoretical Computer Science, Springer, Singapore, 1997, pages 264-275
Hertling, Peter, Surjective Functions on Computably Growing Cantor Sets, Journal of Universal Computer Science3:11 (1997) 1226-1240
Ishihara, Hajime, Sequential continuity of linear mappings in constructive mathematics, Journal of Universal Computer Science3 (1997) 1250-1254
Kohlenbach, Ulrich, Arithmetizing proofs in analysis, in: Larrazabal, J.M. and Lascar, D. and Mints, G. (eds.), Logic Colloquium '96, vol. 12 of Lecture Notes in Logic, Springer, Berlin, 1997, pages 115-158
Mori, Takakazu and Tsujii, Yoshiki and Yasugi, Mariko, Computability Structures on Metric Spaces, in: Bridges, Douglas S. and Calude, Cristian S. and Gibbons, Jeremy and Reeves, Steve and Witten, Ian H. (eds.), Combinatorics, Complexity, and Logic, Discrete Mathematics and Theoretical Computer Science, Springer, Singapore, 1997, pages 351-362
Myrvold, Wayne C., The decision problem for entanglement, in: Cohen, Robert S. and Horne, Michael and Stachel, John (eds.), Potentiality, Entanglement and Passion-at-a-Distance, vol. 194 of Boston Studies in the Philosophy of Science, Kluwer, Dordrecht, 1997, pages 177-190
Pour-El, Marian B. and Zhong, Ning, The Wave Equation with Computable Initial Data Whose Unique Solution Is Nowhere Computable, Mathematical Logic Quarterly43:4 (1997) 499-509
Schröder, Matthias, Fast Online Multiplication of Real Numbers, in: Reischuk, Rüdiger and Morvan, Michel (eds.), STACS 97, vol. 1200 of Lecture Notes in Computer Science, Springer, Berlin, 1997, pages 81-92
Wang, Michael Yuchuan, Constructive Analysis of Partial Differential Equations, PhD thesis, Department of Mathematics, University of Waikato, Hamilton, New Zealand, 1997
Weihrauch, Klaus, A Foundation for Computable Analysis, in: Bridges, Douglas S. and Calude, Cristian S. and Gibbons, Jeremy and Reeves, Steve and Witten, Ian H. (eds.), Combinatorics, Complexity, and Logic, Discrete Mathematics and Theoretical Computer Science, Springer, Singapore, 1997, pages 66-89
Weihrauch, Klaus and Zheng, Xizhong, Computability on Continuous, Lower Semi-Continuous and Upper Semi-Continuous Real Functions, in: Jiang, Tao and Lee, D.T. (eds.), Computing and Combinatorics, vol. 1276 of Lecture Notes in Computer Science, Springer, Berlin, 1997, pages 166-175
Zhong, Ning, Effective collectionwise Hausdorff and normal axioms, Questions and Answers in General Topology15:2 (1997) 225-230
Zhou, Qing, Subclasses of Computable Real Valued Functions, in: Jiang, Tao and Lee, D.T. (eds.), Computing and Combinatorics, vol. 1276 of Lecture Notes in Computer Science, Springer, Berlin, 1997, pages 156-165
V'yugin, Vladimir V., Effective Convergence in Probability and an Ergodic Theorem for Individual Random Sequences, SIAM Theory of Probability and Its Applications42:1 (1997) 39-50
Bridges, Douglas S. and Ishihara, Hajime, Spectra of selfadjoint operators in constructive analysis, Indagationes Mathematicae7:1 (1996) 11-35
Bridges, Douglas S. and Richman, Fred and Yuchuan, Wang, Sets, complements and boundaries, Indagationes Mathematicae7:4 (1996) 425-445
Di Gianantonio, Pietro, Real number computation and Domain Theory, Information and Computation127 (1996) 11-25
Edalat, Abbas, Power domains and iterated function systems, Information and Computation124:2 (1996) 182-197
Edalat, Abbas, The Scott Topology Induces the Weak Topology, in: LICS '96: Proceedings of the 11th Annual IEEE Symposium on Logic in Computer Science, IEEE Computer Society, Washington, DC, USA, 1996, page 372
Escardó, Martín Hötzel, PCF extended with real numbers, Theoretical Computer Science162 (1996) 79-115
Freund, Rudolf and Staiger, Ludwig, Numbers defined by Turing machines, Collegium Logicum, Annals of the Kurt-Gödel-Society2 (1996) 118-137
Ge, Xiaolin and Nerode, Anil, Effective content of the calculus of variations I: semi-continuity and the chattering lemma, Annals of Pure and Applied Logic78 (1996) 127-146
Harrison, John Robert, Theorem Proving with the Real Numbers, PhD thesis, University of Cambridge, Cambridge, UK, 1996
Ko, Ker-I, Fractals and complexity, in: Ko, Ker-I and Müller, Norbert and Weihrauch, Klaus (eds.), Computability and Complexity in Analysis, Universität Trier, 1996, pages 43-48
Ko, Ker-I and Weihrauch, Klaus, On the measure of two-dimensional regions with polynomial-time computable boundaries, in: Homer, Steve and Cai, Jin-Yi (eds.), Eleventh Annual IEEE Conference on Computational Complexity, IEEE Computer Society Press, Los Alamitos, 1996, pages 150-159
Kohlenbach, Ulrich, Analysing Proofs in Analysis, in: Hodges, Wilfried and Hyland, Martin and Steinhorn, Charles and Truss, John (eds.), Logic: from Foundations to Applications, Clarendon Press, Oxford, 1996, pages 225-260
Kushner, Boris Abramovich, Kurt Gödel and the constructive mathematics of A.A. Markov, in: Hájek, P. (ed.), Gödel '96, vol. 6 of Lecture Notes in Logic, 1996, pages 50-63
Labhalla, Salah and Lombardi, Henri, Analyse de complexité pour un théorème de Hall sur les fractions continues, Mathematical Logic Quarterly42 (1996) 134-144
Moore, Cristopher, Recursion theory on the reals and continuous-time computation, Theoretical Computer Science162:1 (1996) 23-44
Moschovakis, J.R., A classical view of the intuitionistic continuum, Annals of Pure and Applied Logic81 (1996) 9-24
Müller, Norbert Th., Towards a real Real RAM: a prototype using C++, in: Ko, Ker-I and Müller, Norbert and Weihrauch, Klaus (eds.), Computability and Complexity in Analysis, Universität Trier, 1996, pages 59-66
Richter, Marcel K. and Wong, Kam-Chau, Computable Economic Analysis, in: Ko, Ker-I and Müller, Norbert and Weihrauch, Klaus (eds.), Computability and Complexity in Analysis, Universität Trier, 1996, pages 81-90
Spreen, Dieter, Effective inseparability in a topological setting, Annals of Pure and Applied Logic80 (1996) 257-275
Waaldijk, Frank, Modern Intuitionistic Topology, PhD thesis, Radboud University Nijmegen, 1996
Washihara, Masako and Yasugi, Mariko, Computability and metrics in a Fréchet space, Mathematica Japonica43:3 (1996) 431-443
Wong, Kam-Chau, Computability of Minimizers and Separating Hyperplanes, Mathematical Logic Quarterly42 (1996) 564-568
Zhong, Ning, Effective Separation Axioms, Questions and Answers in General Topology14:2 (1996) 177-185
Zhou, Qing, Computable real-valued functions on recursive open and closed subsets of Euclidean space, Mathematical Logic Quarterly42 (1996) 379-409
1995
Brattka, Vasco, Computable selection in analysis, in: Ko, Ker-I and Weihrauch, Klaus (eds.), Computability and Complexity in Analysis, vol. 190 of Informatik Berichte, FernUniversität Hagen, 1995, pages 125-138
Bridges, Douglas S., Constructive mathematics and unbounded operations, J. Philos. Logic24:5 (1995) 549-561
Chou, Arthur and Ko, Ker-I, Computational complexity of two-dimensional regions, SIAM Journal on Computing24 (1995) 923-947
Chou, Arthur W., Some complexity issues in complex analysis, in: Ko, Ker-I and Weihrauch, Klaus (eds.), Computability and Complexity in Analysis, vol. 190 of Informatik Berichte, FernUniversität Hagen, 1995, pages 91-98
Edalat, Abbas, Domain theory and integration, Theoretical Computer Science151 (1995) 163-193
Edalat, Abbas, Dynamical systems, measures, and fractals via domain theory, Information and Computation120:1 (1995) 32-48
Freund, Rudolf and Staiger, Ludwig, Numbers defined via Turing machines, in: Ko, Ker-I and Weihrauch, Klaus (eds.), Computability and Complexity in Analysis, vol. 190 of Informatik Berichte, FernUniversität Hagen, 1995, pages 119-124
Ko, Ker-I, Recent progress on complexity theory of real functions, in: Ko, Ker-I and Weihrauch, Klaus (eds.), Computability and Complexity in Analysis, vol. 190 of Informatik Berichte, FernUniversität Hagen, 1995, pages 83-90
Ko, Ker-I, A polynomial-time computable curve whose interior has a nonrecursive measure, Theoretical Computer Science145 (1995) 241-270
Ko, Ker-I, Computational complexity of fixed points and intersection points, Journal of Complexity11 (1995) 265-292
Kummer, Martin and Schäfer, Marcus, Computability of convex sets, in: Mayr, Ernst W. and Puech, Claude (eds.), STACS'95, vol. 900 of Lecture Notes in Computer Science, Springer, Berlin, 1995, pages 550-561
Myrvold, Wayne C., Computability in Quantum Mechanics, in: DePauli-Schimanovich, Werner and Köhler, Eckehart and Stadler, Friedrich (eds.), The foundational debate, vol. 3 of Vienna Circle Institute Yearbook, Kluwer, Dordrecht, 1995, pages 33-46
Müller, Norbert Th., Constructive aspects of analytic functions, in: Ko, Ker-I and Weihrauch, Klaus (eds.), Computability and Complexity in Analysis, vol. 190 of Informatik Berichte, FernUniversität Hagen, 1995, pages 105-114
Pour-El, Marian B., Church's thesis and recursive analysis, in: Ko, Ker-I and Weihrauch, Klaus (eds.), Computability and Complexity in Analysis, vol. 190 of Informatik Berichte, FernUniversität Hagen, 1995, pages 115-118
Schröder, Matthias, Topological spaces allowing type 2 complexity theory, in: Ko, Ker-I and Weihrauch, Klaus (eds.), Computability and Complexity in Analysis, vol. 190 of Informatik Berichte, FernUniversität Hagen, 1995, pages 41-53
Skandalis, Kostas, Program computability over the real numbers, in: Ko, Ker-I and Weihrauch, Klaus (eds.), Computability and Complexity in Analysis, vol. 190 of Informatik Berichte, FernUniversität Hagen, 1995, pages 55-63
Spreen, Dieter, On Some Decision Problems in Programming, Information and Computation122:1 (1995) 120-139
Stoltenberg-Hansen, Viggo and Tucker, John V., Effective Algebras, in: Abramsky, S. and Gabbay, D.M. and Maibaum, T.S.E. (eds.), Handbook of Logic in Computer Science, Volume 4, Clarendon Press, Oxford, 1995, pages 357-527
Sünderhauf, Philipp, A faithful computational model of the real numbers, Theoretical Computer Science151 (1995) 277-294
Washihara, Masako, Computability and Fréchet spaces, Mathematica Japonica42:1 (1995) 1-13
Šanin, N.A., Georg Cantor as the author of constructions that play fundamental roles in constructive mathematics (Russian), Zap. Naučn. Sem. Otdel. Mat. Inst. Steklov. POMI220 (1995) 5-22,246-145
1994
Bridges, Douglas S., A constructive look at the real number line, in: Real numbers, generalizations of the reals, and theories of continua, Kluwer Acad. Publ., Dordrecht, 1994, pages 29-92
Bridges, Douglas S., The constructive theory of preference relations on a locally compact space. II, Mathematical Social Sciences27:1 (1994) 1-9
Bridges, Douglas S. and Ishihara, Hajime, Complements of intersections in constructive mathematics, Mathematical Logic Quarterly40:1 (1994) 35-43
Bridges, Douglas S. and Ishihara, Hajime, Absolute continuity and the uniqueness of the constructive functional calculus, Mathematical Logic Quarterly40:4 (1994) 519-527
Bridges, Douglas S. and Ishihara, Hajime, Erratum: "Complements of intersections in constructive mathematics", Mathematical Logic Quarterly40:4 (1994) 570
Calude, Cristian and Jürgensen, Helmut, Randomness as an invariant for number representations, in: Maurer, H. and Karhumäki, J. and Rozenberg, G. (eds.), Results and Trends in Theoretical Computer Science, Springer, Berlin, 1994, pages 44-66
Esbelin, Henri Alex, Une classe minimale de fonctions récursives contenant les relations rudimentaires, C. R. Acad. Sci. Paris Sér. I Math.319:5 (1994) 505-508
Ge, Xiaolin and Nerode, Anil, On extreme points of convex compact Turing located sets, in: Nerode, Anil and Matiyasevich, Yu. V. (eds.), Logical Foundations of Computer Science, vol. 813 of Lecture Notes in Computer Science, Springer, Berlin, 1994, pages 114-128
Hertling, Peter and Weihrauch, Klaus, Levels of degeneracy and exact lower complexity bounds for geometric algorithms, in: Proceedings of the Sixth Canadian Conference on Computational Geometry, 1994, pages 237-242
Ishihara, Hajime, A constructive version of Banach's inverse mapping theorem, New Zealand Journal of Mathematics23 (1994) 71-75
Klaua, Dieter, Rational and real ordinal numbers, in: Real Numbers, Generalizations of the Reals, and Theories of Continua, vol. 242 of Synthese Lib., 1994, pages 259-276
Oliveira, W.R. de and Smyth, M.B., Quasimetric Σ-algebras, in: SEMISH'94, Sociedade Brasileira de Computação, 1994, pages 547-561
Ruohonen, Keijo, Event detection for ODEs and nonrecursive hierarchies, in: Karhumäki, J. and Maurer, H. and Rozenberg, G. (eds.), Results and trends in theoretical computer science (Graz, 1994), vol. 812 of Lecture Notes in Computer Science, Springer, Berlin, 1994, pages 358-371
Sünderhauf, Philipp, Discrete Approximation of Spaces, A Uniform Approach to Topologically Structured Datatypes and their Function Spaces, PhD thesis, Fachbereich Mathematik, Technische Hochschule Darmstadt, Darmstadt, Germany, 1994
Bridges, Douglas S., Sequential, pointwise, and uniform continuity: a constructive note, Mathematical Logic Quarterly39:1 (1993) 55-61
Bridges, Douglas S., Constructive notions of strict convexity, Mathematical Logic Quarterly39:3 (1993) 295-300
Cenzer, Douglas, Effective real dynamics, in: Crossley, John N. and Remmel, Jefferey B. and Shore, Richard A. and Sweedler, Moss E. (eds.), Logical Methods in Honor of Anil Nerode's Sixtieth Birthday, vol. 12 of Progress in Computer Science and Applied Logic, Birkhäuser, Boston, 1993, pages 162-177
Di Gianantonio, Pietro, A Functional Approach to Computability on Real Numbers, PhD thesis, Università di Pisa-Genova-Udine, Udine, 1993
Garzon, Max and Botelho, Fernanda, Real computation with cellular automata, in: Cellular automata and cooperative systems (Les Houches, 1992), vol. 396 of NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., Kluwer Acad. Publ., Dordrecht, 1993, pages 191-202
Ge, Xiaolin, Some Algorithms in Euclidean Space and Group Representations, PhD thesis, University of Minnesota, Minneapolis, 1993
Ge, Xiaolin and Richards, J. Ian, Computability in unitary representations of compact groups, in: Crossley, John N. and Remmel, Jefferey B. and Shore, Richard A. and Sweedler, Moss E. (eds.), Logical Methods in Honor of Anil Nerode's Sixtieth Birthday, vol. 12 of Progress in Computer Science and Applied Logic, Birkhäuser, Boston, 1993, pages 386-421
Harrison, John, Constructing the real numbers in HOL, in: Higher order logic theorem proving and its applications (Leuven, 1992), IFIP Trans. A Comput. Sci. Tech., A-20, North-Holland, Amsterdam, 1993, pages 145-164
Hoover, H. James, Computational models for feasible real analysis, in: Buss, Samuel R. and Scott, Philip J. (eds.), Feasible mathematics, vol. 9 of Progress in Computer Science and Applied Logic, Birkhäuser, 1993, pages 221-237
Kohlenbach, Ulrich, Effective moduli from ineffective uniqueness proofs. An unwinding of de La Vallé Poussin's proof for Chebycheff approximation, Annals of Pure and Applied Logic64 (1993) 27-94
Kohlenbach, Ulrich, 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, Numer. Funct. Anal. and Optimiz.14 (1993) 581-606
Kushner, Boris Abramovich, Markov and Bishop: an essay in memory of A.A. Markov (1903-1979) and E. Bishop (1928-1983), in: Zdrovkovska, S. and Duren, P.L. (eds.), Golden Years of Moscow Mathematics, vol. 6 of Hist. Math., 1993, pages 179-197
Kushner, Boris Abramovich, The constructive mathematics of A.A. Markov: some reflections (Russian), Modern Logic3 (1993) 119-144
Müller, Norbert Th., Polynomial Time Computation of Taylor series, in: Proceedings of the 22th JAIIO - Panel'93, Part 2, 1993, pages 259-281
Müller, Norbert Th. and Moiske, B., Solving Initial Value Problems in Polynomial Time, in: Proceedings of the 22th JAIIO - Panel'93, Part 2, 1993, pages 283-293
Troelstra, A.S., An intuitionistic look at the real numbers (Dutch), in: Summer course 1993: the real numbers, CWI Syllabi, 1993, pages 67-81
Yasugi, Mariko, Computability in analysis, Surikaisekikenkyusho-Kokyuroku850 (1993) 207-214
1992
Bridges, D. S. and Richman, F. and Julian, W. H. and Mines, R., Extensions and fixed points of contractive maps in R^n, Journal of Mathematical Analysis and Applications165:2 (1992) 438-456
Bridges, D.S. and Julian, W.H. and Richman, F. and Mines, R., Extensions and fixed points of contractive maps in R^n, J. Math. Anal. Appl.165 (1992) 438-456
Bridges, Douglas S. and Ishihara, Hajime, Locating the range of an operator on a Hilbert space, The Bulletin of the London Mathematical Society24:6 (1992) 599-605
Cook, Stephen A., Computability and complexity of higher type functions, in: Moschovakis, Y.N. (ed.), Logic from computer science, vol. 21 of Mathematical Sciences Research Institute Publications, Springer, New York, 1992, pages 51-72
Du, D. and Ko, Ker-I, A note on best fractions of a computable real number, Journal of Complexity8 (1992) 216-229
Ishihara, Hajime, Continuity properties in constructive mathematics, The Journal of Symbolic Logic57:2 (1992) 557-565
Ishihara, Hajime, Constructive existence of Minkowski functionals, Proc. Amer. Math. Soc.116:1 (1992) 79-84
Ko, Ker-I, On the computational complexity of integral equations, Annals of Pure and Applied Logic58 (1992) 201-228
Korovina, M.V., Generalized computability of real functions, Siberian Advances in Mathematics2:4 (1992) 85-103
Lewis, A.A., Some aspects of effectively constructive mathematics that are relevant to the foundations of neoclassical mathematical economics and the theory of games, Math. Social Sciences24 (1992) 209-235
Spreen, Dieter, Effective operators and continuity revisited, in: Nerode, A. and Taĭtslin, M. (eds.), Logical foundations of computer science, vol. 620 of Lecture Notes in Computer Science, Springer, Berlin, 1992, pages 459-469
Troelstra, A.S., Comparing the theory of representations and constructive mathematics, in: Börger, E. and Jäger, G. and Kleine Büning, H. and Richter, M.M. (eds.), Computer Science Logic, vol. 626 of Lecture Notes in Computer Science, Springer, Berlin, 1992, pages 382-395
Tucker, J.V. and Zucker, J.I., Examples of semicomputable sets of real and complex numbers, in: Myers, J.P. and O'Donnell, M.J. (eds.), Constructivity in computer science, Springer, Berlin, 1992, pages 179-198
Zhou, Qing, Computability on open and closed subsets of Euclidean space, PhD thesis, University of Minnesota, Minneapolis, 1992
1991
Bridges, Douglas S., The constructive inequivalence of various notions of preference ordering, Mathematical Social Sciences21:2 (1991) 169-176
Bridges, Douglas S. and Demuth, Osvald, On the Lebesgue measurability of continuous functions in constructive analysis, BAMS24:2 (1991) 259-276
Bridges, Douglas S. and Richman, Fred, A recursive counterexample to Debreu's theorem on the existence of a utility function, Mathematical Social Sciences21:2 (1991) 179-182
Hoover, H. James, Real functions, contraction mappings, and P-completeness, Information and Computation93:2 (1991) 333-349
Ishihara, Hajime, Constructive compact operators on a Hilbert space, Annals of Pure and Applied Logic52 (1991) 31-37
Ishihara, Hajime, Continuity and nondiscontinuity in constructive mathematics, The Journal of Symbolic Logic56:4 (1991) 1349-1354
Ko, Ker-I, Complexity Theory of Real Functions, Progress in Theoretical Computer Science, Birkhäuser, Boston, 1991
Labhalla, Salah, Complexité du calcul du développement d'un nombre réel en fractions continues, Theoretical Computer Science83 (1991) 219-235
Spreen, Dieter, A characterization of effective topological spaces II, in: Topology and category theory in computer science, Oxford Univ. Press, New York, 1991, pages 231-255
Weihrauch, Klaus and Kreitz, Christoph, Type 2 computational complexity of functions on Cantor's space, Theoretical Computer Science82 (1991) 1-18
1990
Boehm, Hans and Cartwright, Robert, Exact real arithmetic, formulating real numbers as functions, in: Turner, D. (ed.), Research topics in functional programming, Addison-Wesley, 1990, pages 43-64
Bridges, Douglas S., Preference, indifference, and Markov's principle, Mathematical Social Sciences20:2 (1990) 131-145
Bridges, Douglas S., Order isomorphisms–a constructive measure-theoretic view, in: Mathematical logic, Plenum, New York, 1990, pages 243-255
Bridges, Douglas S. and Ishihara, Hajime, Linear mappings are fairly well-behaved, Archiv der Mathematik54:6 (1990) 558-562
Demuth, Osvald, Remarks on Denjoy sets, in: Mathematical logic, Plenum, New York, 1990, pages 267-280
Fred Richman, Intuitionism As Generalization, Philosophia Mathematica1 (1990) 124-128
Hirsch, Michael David, Applications of topology to lower bound estimates in computer science, Ph.D. thesis, University of California, Berkeley, 1990
Hoover, H. James, Feasible real functions and arithmetic circuits, SIAM Journal on Computing19:1 (1990) 182-204
Ishihara, Hajime, An omniscience principle, the König lemma and the Hahn-Banach theorem, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik36 (1990) 237-240
Ishihara, Hajime, Boundedness, normability and compactness of constructive linear mappings, PhD thesis, Tokyo Institute of Technology, Tokyo, 1990
Ko, Ker-I, Inverting a one-to-one real function is inherently sequential, in: Buss, S. and Scott, P.J. (eds.), Feasible Mathematics, 1990, pages 239-257
Kushner, Boris Abramovich, Markov's constructive mathematical analysis: the expectations and the results, in: Petkov, P.P. (ed.), Mathematical Logic, Plenum, 1990, pages 53-58
Labhalla, Salah and Lombardi, Henri, Real numbers, continued fractions, and complexity classes, Annals of Pure and Applied Logic50 (1990) 1-28
Labhalla, Salah and Lombardi, Henri, Comparaison des complexités des nombres réels dans différentes représentations (à la Cauchy, à la Dedekind, par fractions continues), Comptes Rendus Académie des Sciences Paris310 (1990) 483-488
Labhalla, Salah and Lombardi, Henri, Comparaison des différentes représentations des nombres réels du point de vue des fonctionnelles récursives, Comptes Rendus Académie des Sciences Paris311 (1990) 229-234
Matijasevič, Yu.V. and Mints, G.E. and Orevkov, V.P. and Slisenko, A.O., Nikolaĭ Aleksandrovich Shanin (on his seventieth birthday), (Russian), Uspekhi Mat. Nauk45 (1990) 205-206
Shioji, Naoki and Tanaka, Kazuyuki, Fixed Point Theory in Weak Second-Order Arithmetic, Annals of Pure and Applied Logic47 (1990) 167-188
Skandalis, Kostas, Non-Recursiveness of the Operations on Real Numbers, Theoretical Computer Science71 (1990) 425-429
Spreen, Dieter, A characterization of effective topological spaces, in: Ambos-Spies, K. and Müller, G. H. and Sacks, G. E. (eds.), Recursion theory week, vol. 1432 of Lecture Notes in Mathematics, Springer, Berlin, 1990, pages 363-387
Spreen, Dieter, Computable one-to-one enumerations of effective domains, Information and Computation84 (1990) 26-46
Bridges, Douglas S., A general constructive intermediate value theorem, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik35 (1989) 433-435
Bridges, Douglas S., The constructive theory of preference relations on a locally compact space, Indagationes Mathematicae51:2 (1989) 141-165
Bridges, Douglas S., Approximate interpolation by functions in a Haar space, Journal of Approximation Theory57:1 (1989) 35-39
Bridges, Douglas S. and Julian, William and Mines, Ray, A constructive treatment of open and unopen mapping theorems, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik35:1 (1989) 29-43
Du, D. and Ko, Ker-I, Computational complexity of integration and differentiation of convex functions, System Sci. and Math. Sci.2 (1989) 70-79
Hoover, H. James, Why integration is hard, in: Kaltofen, Erich and Watt, Stephen M. (eds.), Computers and mathematics, Springer, 1989, pages 172-181
Ishihara, Hajime, On the constructive Hahn-Banach theorem, Bull. London Math. Soc.21:1 (1989) 79-81
Ishihara, Hajime, Constructive compact linear mappings, Bull. London Math. Soc.21 (1989) 577-584
Pour-El, Marian B. and Richards, J. Ian, Computability in Analysis and Physics, Perspectives in Mathematical Logic, Springer, Berlin, 1989
Sergeraert, Francis, Free loop spaces and computability in algebraic topology, in: Proceedings of the Sixth International Colloquium on Differential Geometry (Santiago de Compostela, 1988), vol. 61 of Cursos Congr. Univ. Santiago de Compostela, Univ. Santiago de Compostela, Santiago de Compostela, 1989, pages 239-245
1988
Bridges, Douglas S., Locatedness, convexity, and Lebesque measurability, Quart. J. Math. Oxford Ser. 239 (1988) 411-421
Bridges, Douglas S., The Euclidean distance construction of order homomorphisms, Mathematical Social Sciences15:2 (1988) 179-188
Demuth, Osvald, Reducibilities of sets based on constructive functions of a real variable, Commentationes Mathematicae Universitatis Carolinae29:1 (1988) 143-156
Demuth, Osvald, Remarks on the structure of tt-degrees based on constructive measure theory, Commentationes Mathematicae Universitatis Carolinae29:2 (1988) 233-247
Ishihara, Hajime, Constructive reflexivity of a uniformly convex Banach space, Proc. Amer. Math. Soc.104:3 (1988) 735-740
Ko, Ker-I and Friedman, H., Computing power series in polynomial time, Advances in Applied Math.9 (1988) 40-50
Kushner, Boris Abramovich, Effective meaning of a theorem on uniform limit transition (Russian), in: Nagornyĭ, N.M. (ed.), Problems in Mathematical Logic and in the Theory of Algorithms, Akad. Nauk SSSR, Vyčisl. Centr., 1988, pages 3-10
Mandelkern, Mark, Constructively complete finite sets, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik34:2 (1988) 97-103
Mandelkern, Mark, Limited Omniscience and the Bolzano-Weierstrass Principle, Bulletin of the London Mathematical Society20 (1988) 319-320
Müller, Norbert Th., Untersuchungen zur Komplexität reeller Funktionen, PhD thesis, Fachbereich Mathematik und Informatik, FernUniversität Hagen, 1988
Spreen, Dieter, Computable one-to-one enumerations of effective domains, in: Main, M. and Melton, A. and Mislove, M. and Schmidt, D. (eds.), Mathematical foundations of programming language semantics, vol. 298 of Lecture Notes in Computer Science, Springer, Berlin, 1988, pages 372-384
Troelstra, A.S. and van Dalen, D., Constructivism in Mathematics, Volume 1, vol. 121 of Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1988
Troelstra, A.S. and van Dalen, D., Constructivism in Mathematics, Volume 2, vol. 123 of Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1988
1987
Brady, S.S. and Remmel, J.B., The undecidability of the lattice of r.e. closed subsets of an effective topological space, Annals of Pure and Applied Logic35 (1987) 193-203
Bridges, Douglas S., A constructive Morse theory of sets, in: Mathematical logic and its applications (Druzhba, 1986), Plenum, New York, 1987, pages 61-79
Bridges, Douglas S. and Richman, Fred, Varieties of Constructive Mathematics, vol. 97 of London Mathematical Society Lecture Note Series, Cambridge University Press, Cambridge, 1987
Chaitin, G.J., Incompleteness theorems for random reals, Adv. in Appl. Math.8 (1987) 119-146
Demuth, Osvald, An example of the construction of pseudonumbers by the methods of recursion theory, in: Tonoyan, R.N. (ed.), Applied mathematics, No. 5 (Russian), Erevan. Univ., Erevan, 1987, pages 55-73, 131-132
Demuth, Osvald and Filipec, Pavel, Differentiation of constructive functions of a real variable and relative computability, in: Skordev, D.G. (ed.), Mathematical Logic and Its Applications, Plenum Press, New York, 1987, pages 81-106
Demuth, Osvald and Kučera, A., Remarks on 1-genericity, semigenericity and related concepts, Commentationes Mathematicae Universitatis Carolinae28:1 (1987) 85-94
Demuth, Oswald, A notion of semigenericity, Commentationes Mathematicae Universitatis Carolinae28:1 (1987) 71-84
Hauck, Jürgen, Eine berechenbare Funktion mit rationalen Werten, die nicht rekursiv ist, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik33 (1987) 255-256
Hoover, H. James, Feasible Constructive Analysis, PhD thesis, Dept. of Computer Science, University of Toronto, Toronto, Canada, 1987
Kreitz, Christoph and Weihrauch, Klaus, Compactness in constructive analysis revisited, Annals of Pure and Applied Logic36 (1987) 29-38
Kushner, Boris Abramovich, The principle of bar-induction in Brouwer's theory of the continuum (Russian), in: Panov, M.I. (ed.), Patterns in the Development of Modern Mathematics, Methodological Aspects, Nauka, 1987, pages 230-250
Müller, Norbert Th., Uniform Computational Complexity of Taylor series, in: Ottmann, Thomas (ed.), Proceedings of the 14th International Colloquium on Automata, Languages, and Programming, vol. 267 of Lecture Notes in Computer Science, Springer, Berlin, 1987, pages 435-444
Pour-El, Marian B. and Richards, J. Ian, The eigenvalues of an effectively determined self-adjoint operator are computable, but the sequence of eigenvalues is not, Advances in Math.63 (1987) 1-41
Sergeraert, Francis, Homologie effective. I, C. R. Acad. Sci. Paris Sér. I Math.304:11 (1987) 279-282
van Lambalgen, Michiel, Random sequences, Ph.D. thesis, Department of Mathematics, University of Amsterdam, 1987
Weihrauch, Klaus, Computability, vol. 9 of EATCS Monographs on Theoretical Computer Science, Springer, Berlin, 1987
Weihrauch, Klaus and Kreitz, Christoph, Representations of the real numbers and of the open subsets of the set of real numbers, Annals of Pure and Applied Logic35 (1987) 247-260
1986
Bridges, Douglas S., Numerical representation of interval orders on a topological space, Journal of Economic Theory38:1 (1986) 160-166
Dettki, H.J. and Schuster, H. and Weihrauch, K., Type 2 recursion theory, in: Demetrovics, J. and Katona, G. and Salomaa, A. (eds.), Algebra, Combinatorics and Logic in Computer Science, Vol. 1, vol. 42 of Coll. Math. Soc. János Bolyai, 1986, pages 355-361
Ko, Ker-I, Approximation to measurable functions and its relation to probabilistic computation, Annals of Pure and Applied Logic30 (1986) 173-200
Ko, Ker-I, On the computational complexity of best Chebyshev approximations, Journal of Complexity2 (1986) 95-120
Ko, Ker-I, On the continued fraction representation of computable real numbers, Theoretical Computer Science47 (1986) 299-313
Labhalla, Salah-Eddine, Complexité du Calcul du Développement d'un Nombre Réel en Fractions Continués, PhD thesis, Université de Caen Normandie, 1986
Manukyan, S. N., On uniqueness properties of constructive analytic functions, Soviet Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences21:2 (1986) 95-103
Manukyan, S. N., Uniqueness properties for constructive analytic functions, Izvestiya Akademii Nauk Armyanskoĭ SSR. Seriya Matematika21:2 (1986) 198-206, 208
Müller, Norbert Th., Subpolynomial complexity classes of real functions and real numbers, in: Kott, Laurent (ed.), Proceedings of the 13th International Colloquium on Automata, Languages, and Programming, vol. 226 of Lecture Notes in Computer Science, Springer, Berlin, 1986, pages 284-293
Pour-El, Marian B. and Richards, J. Ian, Three theorems on the computability of linear operators, their eigenvalues and eigenvectors, Sūrikaisekikenkyūsho Kōkyūroku588 (1986) 149-161
Ščedrov, A., Diagonalization of continuous matrices as a representation of intuitionistic reals, Annals of Pure and Applied Logic30 (1986) 201-206
1985
Baigger, Günter, Die Nichtkonstruktivität des Brouwerschen Fixpunktsatzes, Archive for Mathematical Logic25 (1985) 183-188
Beeson, Michael J., Foundations of Constructive Mathematics, A Series of Modern Surveys in Mathematics, Springer, Berlin, 1985
Bishop, Errett and Bridges, Douglas S., Constructive Analysis, vol. 279 of Grundlehren der Mathematischen Wissenschaften, Springer, Berlin, 1985
Bridges, Douglas S., Representing interval orders by a single real-valued function, Journal of Economic Theory36:1 (1985) 149-155
Bridges, Douglas S., Operator ranges, integrable sets, and the functional calculus, Houston Journal of Mathematics11:1 (1985) 31-44
Dettki, Hans Joachim, Untersuchungen zur Darstellungsberechenbarkeit von Ordinalzahlfunktionen, PhD thesis, Fachbereich Mathematik und Informatik, FernUniversität Hagen, 1985
Downey, Rod and Kalantari, Iraj, Effective extensions of linear forms on a recursive vector space over a recursive field, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik31:3 (1985) 193-200
Hauck, Jürgen, Ein Kriterium für die konstruktive Lösbarkeit der Differentialgleichung y'=f(x,y), Zeitschrift für Mathematische Logik und Grundlagen der Mathematik31 (1985) 357-362
Kalantari, I. and Weitkamp, G., Effective topological spaces, I. A definability theory, Annals of Pure and Applied Logic29 (1985) 1-27
Kalantari, I. and Weitkamp, G., Effective topological spaces, II. A hierarchy, Annals of Pure and Applied Logic29 (1985) 207-224
Kalantari, I. and Weitkamp, G., Effective topological spaces, III. Forcing and definability, Annals of Pure and Applied Logic36 (1985) 17-27
Ko, Ker-I, Continuous optimization problems and a polynomial hierarchy of real functions, Journal of Complexity1 (1985) 210-231
Kreisel, G., Mathematical logic: tool and object lesson for science. The present state of the problem of foundations of mathematics, Florence, 1981, Synthese Lib.62 (1985) 139-151
Kreitz, Christoph and Weihrauch, Klaus, Theory of representations, Theoretical Computer Science38 (1985) 35-53
Kushner, Boris Abramovich, Differentiability and uniform continuity of constructive functions (Russian), Doklady Akademii Nauk281 (1985) 1314-1316
Metakides, George and Nerode, Anil and Shore, Richard A., Recursive limits on the Hahn-Banach theorem, in: Rosenblatt, Murray (ed.), Errett Bishop: Reflections on Him and His Research, vol. 39 of Contemporary Mathematics, American Mathematical Society, Providence, 1985, pages 85-91
Nerode, Anil and Huang, Wen-Qi, Application of pure recursion theory in recursive analysis, Acta Mathematica Sinica28 (1985) 625-636
Rosenblatt, M. (ed.), Errett Bishop: Reflections on him and his research, vol. 39 of Contemp. Math., Amer. Math. Soc., Providence, 1985
Zahn, Peter, Gilt das Lemma von König "konstruktiv"?, Archiv für Mathematische Logik und Grundlagenforschung25 (1985) 33-35
1984
Bridges, D.S. and Mines, R., What is constructive mathematics?, The Mathematical Intelligencer6:4 (1984) 32-38
Deil, Thomas, Darstellungen und Berechenbarkeit reeller Zahlen, PhD thesis, Fachbereich Mathematik und Informatik, FernUniversität Hagen, 1984
Feferman, S., Between constructive and classical mathematics, in: Richter, M.M. and Börger, E. and Oberschelp, W. and Schinzel, B. and Thomas, W. (eds.), Computation and Proof Theory, vol. 1104 of Lecture Notes in Mathematics, 1984, pages 143-162
Grayson, Robin J., Heyting-Valued Semantics, in: Lolli, G. and Longo, G. and Marcja, A. (eds.), Logic Colloquium '82, vol. 112 of Studies in Logic and the Foundations of Mathematics, Elsevier, 1984, pages 181-208
Hauck, Jürgen, Eine neue Definition berechenbarer reeller Funktionen, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik30 (1984) 259-268
Hauck, Jürgen, Zur Wellengleichung mit konstruktiven Randbedingungen, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik30 (1984) 561-566
Julian, William and Richman, Fred, A uniformly continuous function on [0,1] that is everywhere different from its infimum, Pacific Journal of Mathematics111:2 (1984) 333-340
Ko, Ker-I, Reducibilities on real numbers, Theoretical Computer Science31 (1984) 101-123
Kreitz, Christoph, Theorie der Darstellungen und ihre Anwendungen in der konstruktiven Analysis, PhD thesis, Fachbereich Mathematik und Informatik, FernUniversität Hagen, 1984
Kreitz, Christoph and Weihrauch, Klaus, A unified approach to constructive and recursive analysis, in: Richter, M.M. and Börger, E. and Oberschelp, W. and Schinzel, B. and Thomas, W. (eds.), Computation and Proof Theory, vol. 1104 of Lecture Notes in Mathematics, Springer, Berlin, 1984, pages 259-278
Kreitz, Christoph and Weihrauch, Klaus, Towards a theory of representations, in: Wechsung, G. (ed.), Frege Conference 1984, Akademie-Verlag, Berlin, 1984, pages 73-79
Kushner, Boris Abramovich, Lectures on Constructive Mathematical Analysis, vol. 60 of Translations of Mathematical Monographs, American Mathematical Society, Providence, 1984
Manukyan, S. N., The Dirichlet problem in constructive analysis, Akademiya Nauk Armyanskoĭ SSR. Doklady79:2 (1984) 58-62
Pour-El, Marian B. and Richards, J. Ian, L^p-computability in recursive analysis, Proceedings of the American Mathematical Society92 (1984) 93-97
Skandalis, Kostas, Programmable real numbers and functions, Fundamenta Informaticae7:1 (1984) 27-56
Spreen, Dieter and Young, Paul, Effective operators in a topological setting, in: Richter, M.M. and Börger, E. and Oberschelp, W. and Schinzel, B. and Thomas, W. (eds.), Computation and Proof Theory, vol. 1104 of Lecture Notes in Mathematics, Springer, Berlin, 1984, pages 437-451
Theobald, Konrad R., Eine allgemeine Theorie der Stetigkeit und Berechenbarkeit für natürliche Halbordnungen, PhD thesis, Fachbereich Mathematik und Informatik, FernUniversität Hagen, 1984
Ščedrov, A., Differential equations in constructive analysis and in the recursive realizability topos, J. Pure Appl. Algebra33 (1984) 69-80
1983
Baez, J.C., Recursivity in quantum mechanics, Transactions of the American Mathematical Society280 (1983) 339-350
Bridges, Douglas S., Numerical representation of intransitive preferences on a countable set, Journal of Economic Theory30:1 (1983) 213-217
Bridges, Douglas S., A numerical representation of preferences with intransitive indifference, Journal of Mathematical Economics11:1 (1983) 25-42
Collins, W. and Young, P., Discountinuities of provably correct operators on the provably recursive real numbers, The Journal of Symbolic Logic48 (1983) 913-920
Demuth, Osvald, Arithmetic complexity of differentiation in constructive mathematics (Russian), Commentationes Mathematicae Universitatis Carolinae24:2 (1983) 301-316
Demuth, Osvald, On the pseudodifferentiability of pseudo-uniformly continuous constructive functions from functions of the same type (Russian), Commentationes Mathematicae Universitatis Carolinae24:3 (1983) 391-406
Freund, Rudolf, Real Functions and Numbers Defined by Turing Machines, Theoretical Computer Science23 (1983) 287-304
Gordon, Dan and Shamir, Eliahu, Computation of recursive functionals using minimal initial segments, Theoretical Computer Science23 (1983) 305-315
Hauck, Jürgen, Konstruktive reelle Funktionale und Operatoren, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik29 (1983) 213-218
Kalantari, I. and Leggett, A., Maximality in effective topology, The Journal of Symbolic Logic48 (1983) 100-112
Kalantari, I. and Remmel, J.B., Degrees of recursively enumerable topological spaces, The Journal of Symbolic Logic48 (1983) 610-622
Ko, Ker-I, On the computational complexity of ordinary differential equations, Inform. Contr.58 (1983) 157-194
Ko, Ker-I, On the definitions of some complexity classes of real numbers, Math. Systems Theory16 (1983) 95-109
Kreitz, Christoph and Weihrauch, Klaus, Complexity theory on real numbers and functions, in: Cremers, A.B. and Kriegel, H.P. (eds.), Theoretical Computer Science, vol. 145 of Lecture Notes in Computer Science, Springer, 1983
Kushner, Boris Abramovich, A class of Specker sequences (Russian), in: Gladliĭ, M. (ed.), Mathematical Logic, Mathematical Linguistics and Theory of Algorithms, Kalinin. Gos. Univ., 1983, pages 62-65
Mandelkern, Mark, Constructive continuity, Memoirs of the American Mathematical Society42:277 (1983) v+117
Pour-El, Marian B. and Richards, J. Ian, Computability and noncomputability in classical analysis, Trans. Amer. Math. Soc.275 (1983) 539-560
Pour-El, Marian B. and Richards, J. Ian, Noncomputability in analysis and physics: a complete determination of the class of noncomputable linear operators, Advances in Math.48 (1983) 44-74
Skandalis, Kostas, Programmability in the set of real numbers and second-order recursion, Fundamenta Informaticae6:3-4 (1983) 257-274
Weihrauch, Klaus and Schäfer, G., Admissible representations of effective cpo's, Theoretical Computer Science26 (1983) 131-147
1982
Bridges, Douglas S., Preference and utility: a constructive development, Journal of Mathematical Economics9:1-2 (1982) 165-185
Bridges, Douglas S., Lipschitz constants and moduli of continuity for the Chebyshev projection, Proceedings of the American Mathematical Society85:4 (1982) 557-561
Bridges, Douglas S., Recent progress in constructive approximation theory, in: The L. E. J. Brouwer Centenary Symposium (Noordwijkerhout, 1981), North-Holland, Amsterdam, 1982, pages 41-50
Bridges, Douglas S. and Calder, Allan and Julian, William and Mines, Ray and Richman, Fred, Picard's theorem, Transactions of the American Mathematical Society269:2 (1982) 513-520
Demuth, Osvald, Borel types of some classes of arithmetical real numbers (Russian), Commentationes Mathematicae Universitatis Carolinae23:3 (1982) 593-606
Demuth, Osvald, Some classes of arithmetical real numbers (Russian), Commentationes Mathematicae Universitatis Carolinae23:3 (1982) 453-465
Hauck, Jürgen, Stetigkeitseigenschaften berechenbarer Funktionale, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik28 (1982) 377-383
Hyland, J.M.E., Application of constructivity, in: Cohen, L.J. and Loś, G. and Pfeiffer, H. and and Podewski, K.-P. (eds.), Methodology and Philos. Sci. VI, vol. 104 of Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1982, pages 145-152
Kalantari, I. and Leggett, A., Simplicity in effective topology, The Journal of Symbolic Logic47 (1982) 169-183
Kalantari, Iraj, Major subsets in effective topology, in: Metakides, G. (ed.), Patras Logic Symposion, Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1982, pages 77-94
Ko, Ker-I, The maximum value problem and NP real numbers, Journal of Computer and Systems Sciences24 (1982) 15-35
Ko, Ker-I, Some negative results on the computational complexity of total variation and differentiation, Inform. Contr.53 (1982) 21-31
Ko, Ker-I and Friedman, H., Computational complexity of real functions, Theoretical Computer Science20 (1982) 323-352
Kreisel, G., Reviews: Pour-El and Richards 'A computable differential equation which possesses no computable solution' (1979), and 'The wave equation, with computable initial data such that its unique solution' (1981), The Journal of Symbolic Logic47 (1982) 900-902
Kreisel, G. and Macintyre, A., Constructive logic versus algebraization, I, in: Troelstra, A.S. and van Dalen, D. (eds.), The L. E. J. Brouwer Centenary Sympos., vol. 110 of Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1982, pages 217-260
Kushner, Boris Abramovich, Some extensions of Markov's constructive continuum and their applications to the theory of constructive functions, in: Troelstra, A.S. and van Dalen, D. (eds.), The L.E.J. Brouwer Centenary Symposium (Noordwijkerhout, June 8-13,1981), vol. 110 of Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1982, pages 261-273
Lifschitz, Vladimir, Constructive assertions in an extension of classical mathematics, The Journal of Symbolic Logic47:2 (1982) 359-387
Mandelkern, Mark, Continuity of monotone functions, Pacific Journal of Mathematics99 (1982) 413-418
Manukyan, S. N., Algorithms transforming constructive curves into points, Matematicheskie Voprosy Kibernetiki i Vychislitel´ noĭ Tekhniki. Trudy Vychislitel´ nogo Tsentra Akademii Nauk Armyanskoĭ SSR i Erevanskogo Gosudarstvennogo Universiteta :10 (1982) 55-71
Metakides, George and Nerode, Anil, The introduction of non-recursive methods into mathematics, in: Troelstra, A.S. and van Dalen, D. (eds.), The L.E.J. Brouwer Centenary Symposium, vol. 110 of Studies in Logic and the foundations of mathematics, North-Holland, Amsterdam, 1982, pages 319-335
Wang, Hao, Specker's mathematical work from 1949 to 1979, in: Logic and Algorithmic (Zürich, 1980), Univ. Geneva, 1982, pages 11-24
1981
Bridges, Douglas S., Towards a constructive foundation for quantum mechanics, in: Richman, F. (ed.), Constructive Mathematics, vol. 873 of Lecture Notes in Mathematics, 1981, pages 260-273
Bridges, Douglas S., A constructive look at positive linear functionals on L(H), Pacific Journal of Mathematics95:1 (1981) 11-25
Bridges, Douglas S., On the isolation of zeroes of an analytic function, Pacific Journal of Mathematics96:1 (1981) 13-22
Bridges, Douglas S., Correction to: "On the isolation of zeroes of an analytic function" [Pacific J. Math. 96 (1981), no. 1, 13-22; MR 82k:03095], Pacific Journal of Mathematics97:2 (1981) 487-488
Bridges, Douglas S., A constructive analysis of the Remes algorithm, Journal of Approximation Theory32:4 (1981) 257-270
Bridges, Douglas S., A constructive proximinality property of finite-dimensional linear subspaces, The Rocky Mountain Journal of Mathematics11:4 (1981) 491-497
Bridges, Douglas S., On Montel's proof of the great Picard theorem, The American Mathematical Monthly88:1 (1981) 45-47
Bridges, Douglas S. and Calder, Allan and Julian, William and Mines, Ray and Richman, Fred, Locating metric complements in R^n, in: Richman, F. (ed.), Constructive Mathematics, vol. 873 of Lecture Notes in Mathematics, 1981, pages 241-249
Bridges, Douglas S. and Calder, Allan and Julian, William and Mines, Ray and Richman, Fred, Bounded linear mappings of finite rank, Journal of Functional Analysis43:2 (1981) 143-148
Brouwer, L.E.J., Brouwer's Cambridge Lectures on Intuitionism, Cambridge University Press, 1981
Demuth, Osvald, On the pseudodifferentiability of uniformly continuous constructive functions from functions of the same type (Russian), Commentationes Mathematicae Universitatis Carolinae22:3 (1981) 497-512
Demuth, Osvald, A generalization of a constructive analogue of K. M. Garg's theorem (Russian), Commentationes Mathematicae Universitatis Carolinae22:3 (1981) 607-620
Gelfond, Michael G., A class of theorems with valid constructive counterparts, in: Richman, Fred (ed.), Constructive mathematics, vol. 873 of Lecture Notes in Mathematics, Springer, Berlin, 1981, pages 314-320
Hauck, Jürgen, Berechenbarkeit in topologischen Räumen mit rekursiver Basis, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik27 (1981) 473-480
Kushner, Boris Abramovich, Behavior of the general term of a Specker series (Russian), in: Gladkiĭ, M. (ed.), Mathematical Logic and Mathematical Linguistics, Kalinin. Gos. Univ., 1981, pages 112-116
Kushner, Boris Abramovich, On some topological properties of constructive plane curves (Russian), Dokl. Akad. Nauk SSSR260 (1981) 281-283
Nogina, Elena Ju., The relation between separability and traceability of sets (Russian), in: Mathematical logic and mathematical linguistics, Kalinin. Gos. Univ., Klinin, 1981, pages 135-144
Pour-El, Marian B. and Richards, J. Ian, The wave equation with computable initial data such that its unique solution is not computable, Advances in Math.39 (1981) 215-239
Richman, Fred and Bridges, Douglas S. and Calder, Allan and Julian, William and Mines, Ray, Compactly generated Banach spaces, Archiv der Mathematik. Archives of Mathematics. Archives Mathématiques36:3 (1981) 239-243
Veldman, W., Investigations in Intuitionistic Hierarchy Theory, PhD thesis, Katholieke Universiteit, Nijmegen, Nijmegen, The Netherlands, 1981
Weihrauch, Klaus, Recursion and complexity theory on cpo-s, in: Deussen, Peter (ed.), Theoretical Computer Science, vol. 104 of Lecture Notes in Computer Science, Springer, 1981
Weihrauch, Klaus and Schreiber, Ulrich, Embedding metric spaces into cpo's, Theoretical Computer Science16 (1981) 5-24
Weihrauch, Klaus and Schäfer, Giesela, Admissible representations of effective cpo's, in: Gruska, J. and Chytil, M. (eds.), Mathematical Foundations of Computer Science 1981, vol. 118 of Lecture Notes in Computer Science, Springer, 1981
1980
Aberth, Oliver, Computable Analysis, McGraw-Hill, New York, 1980
Beeson, M.J., Problematic principles in constructive mathematics, in: Logic Colloquium '80, vol. 108 of Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1980, pages 11-55
Bridges, Douglas S., On the foundations of best-approximation theory, Journal of Approximation Theory28:3 (1980) 273-292
Bridges, Douglas S., A constructive development of Chebyshev approximation theory, Journal of Approximation Theory30:2 (1980) 99-120
Demuth, Osvald, On the constructive Perron integral (Russian), Acta Universitatis Carolinae. Mathematica et Physica21:1 (1980) 3-57
Demuth, Osvald, A constructive analogue of K. M. Garg's theorem on derivative numbers (Russian), Commentationes Mathematicae Universitatis Carolinae21:3 (1980) 457-472
Demuth, Osvald, Pseudodifferentiability of constructive functions on constructive real numbers (Russian), Commentationes Mathematicae Universitatis Carolinae21:3 (1980) 489-505
Demuth, Osvald and Kmínek, V., Properties of indefinite constructive Lebesgue-Stieltjes integrals (Russian), Commentationes Mathematicae Universitatis Carolinae21:4 (1980) 629-644
Hauck, Jürgen, Stetigkeitseigenschaften berechenbarer reeller Funktionen, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik26 (1980) 69-76
Hauck, Jürgen, Konstruktive Darstellungen in topologischen Räumen mit rekursiver Basis, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik26 (1980) 565-576
Troelstra, A.S., Intuitionistic extensions of the reals, Nieuw Arch. Wisk.28 (1980) 63-113
Troelstra, A.S., Intuitionistic extensions of the reals, II, in: Logic Colloq. '80, vol. 108 of Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1980
Wiedmer, E., Computing with infinite objects, Theoretical Computer Science10 (1980) 133-155
1979
Bridges, Douglas S., Constructive Functional Analysis, Pitman, London, 1979
Bridges, Douglas S., Connectivity properties of metric spaces, Pacific Journal of Mathematics80:2 (1979) 325-331
Bridges, Douglas S., On the constructive convergence of series of independent functions, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik25:1 (1979) 93-96
Bridges, Douglas S., A criterion for compactness in metric spaces?, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik25:2 (1979) 97-98
Bridges, Douglas S., Geometric intuition and elementary constructive analysis, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik25:6 (1979) 521-523
Demuth, Osvald, The use of the Riemann-Stieltjes integral in the theory of the constructive Lebesgue integral, and its generalizations (Russian), Commentationes Mathematicae Universitatis Carolinae20:4 (1979) 781-793
Demuth, Osvald and Kučera, A., Remarks on constructive mathematical analysis, in: Logic Colloquium '78 (Mons, 1978), North-Holland, Amsterdam, 1979, pages 81-129
Demuth, Osvald and Polivka, Ĭ., The representation of linear functionals in the space of codes of constructive functions that are uniformly continuous on the segment 0Δ 1 (Russian), Commentationes Mathematicae Universitatis Carolinae20:4 (1979) 765-780
Feferman, S., Constructive Theories of Functions and Classes, in: Boffa, D., van Dalen and McAloon, K. (eds.), Proceedings Logic Colloquium '78, vol. 97 of Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1979, pages 159-224
Fourman, Michael and Hyland, John M. E., Sheaf models for analysis, in: Michael Fourman and Christopher Mulvey and Dana Scott (eds.), Applications of Sheaves, vol. 753 of Lecture Notes in Mathematics, Springer, Berlin/Heidelberg, 1979, pages 280-301
Hyland, J.M.E., Filter Spaces and Continuous Functionals, Annals of Mathematical Logic16 (1979) 101-143
Kalantari, I. and Retzlaff, A., Recursive constructions in topological spaces, The Journal of Symbolic Logic44 (1979) 609-625
Kushner, Boris Abramovich, Segmental coverings and uniform continuity of constructive functions (Russian), in: Markov, A.A. and Homič, V.I. (eds.), Studies in the Theory of Algorithms and Mathematical Logic, Nauka, 1979, pages 62-69, 133
Pour-El, Marian B. and Richards, J. Ian, A computable ordinary differential equation which possesses no computable solution, Annals Math. Logic17 (1979) 61-90
Weihrauch, Klaus and Schreiber, Ulrich, Metric spaces defined by weighted algebraic cpo-s, in: Budach, Lothar (ed.), Fundamentals of Computation Theory, FCT'79, Akademie-Verlag, Berlin, 1979, pages 516-522
Šanin, N.A., Canonical recursive functions and operations (Russian), Zap. Naučn. Sem. Otdel. Mat. Inst. Steklov.88 (1979) 218-235,246-247
1978
Bridges, D. S., More on the connectivity of convex sets, Proceedings of the American Mathematical Society68:2 (1978) 214-216
Bridges, Douglas S., A note on Morse's lambda-notation in set theory, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik24:2 (1978) 113-114
Bridges, Douglas S., On weak operator compactness of the unit ball of L(H), Zeitschrift für Mathematische Logik und Grundlagen der Mathematik24:6 (1978) 493-494
Bridges, Douglas S., On the connectivity of convex sets, The Bulletin of the London Mathematical Society10:1 (1978) 86-90
Bridges, Douglas S., On continuous mappings between locally compact metric spaces, The Bulletin of the London Mathematical Society10:2 (1978) 201-208
Collins, W., Provably recursive real numbers, Notre Dame J. Formal Logic19 (1978) 513-522
Demuth, Osvald, Some questions of the theory of constructive functions of a real variable (Russian), Acta Universitatis Carolinae. Mathematica et Physica19:1 (1978) 61-96
Demuth, Osvald, The pseudodifferentiability of uniformly continuous constructive functions on constructive real numbers (Russian), Comment. Math. Univ. Carolin.19:2 (1978) 319-333
Demuth, Osvald, Constructive analogues of generalized absolutely continuous functions of generalized bounded variation (Russian), Commentationes Mathematicae Universitatis Carolinae19:3 (1978) 471-487
Demuth, Osvald and Kryl, R. and Kučera, A., The use of the theory of functions that are partial recursive relative to numerical sets in constructive mathematics (Russian), Acta Universitatis Carolinae. Mathematica et Physica19:1 (1978) 15-60
Hauck, Jürgen, Konstruktive Darstellungen reeller Zahlen und Folgen, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik24 (1978) 365-374
Kučera , A. and and Kushner, B., A type of recursive isomorphism of certain concepts of constructive analysis (Russian), Comment. Math. Univ. Carolinæ19 (1978) 97-105
Lorenzen, Paul, Konstruktive Analysis und das geometrische Kontinuum, Dialectica32 (1978) 221-227
Margenstern, Maurice, On a variant of constructivisation of the theory of almost periodic functions, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik24:6 (1978) 495-507
Nogina, Elena Ju., Enumerable topological spaces (Russian), Zeitschrift für Mathematische Logik und Grundlagen der Mathematik24:2 (1978) 141-176
Pour-El, Marian B. and Richards, J. Ian, Differentiability properties of computable functions - a summary, Acta Cybernetica4 (1978) 123-125
van Dalen, D., An interpretation of intuitionistic analysis, Ann. Math. Logic13 (1978) 1-43
Weyl, H., Das Kontinuum, Veit, Leipzig, 1978
Zahn, Peter, Ein konstruktiver Weg zur Maßtheorie und Funktionalanalysis, Wissenschaftliche Buchgesellschaft, Darmstadt, 1978
1977
Bridges, Douglas S., A constructive look at orthonormal bases in Hilbert space, Amer. Math. Monthly84:3 (1977) 189-191
Bridges, Douglas S., The constructive Radon-Nikodým theorem, Pacific J. Math.70:1 (1977) 51-65
Demuth, Osvald, A constructive analogue of the functions of the nth Baire class (Russian), Comment. Math. Univ. Carolinae18:2 (1977) 231-245
Demuth, Osvald, A generalization of the constructive Lebesgue integral (Russian), Comment. Math. Univ. Carolinae18:3 (1977) 499-514
Dummett, M., Elements of Intuitionism, Oxford Univ. Press, 1977
Feferman, S., Theories of finite type related to mathematical practice, in: Barwise, J. (ed.), Handbook of Mathematical Logic, vol. 90 of Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1977, pages 913-971
Friedman, H.M., Set theoretic foundations for constructive analysis, Ann. of Math.105 (1977) 1-28
Grzegorczyk, Andrzej, Mathematical and empirical verifiability, in: Twenty-five Years of logic. Methodol. in Poland, 1977, pages 165-169
Hauck, Jürgen, Zum Zwischenwertsatz in der konstruktiven Analysis, Wissenschaftliche Zeitschrift der Humboldt-Universität zu Berlin Math.-Nat. R.26:5 (1977) 623-627
Hauck, Jürgen, Rekursive Funktionale und der Fixpunksatz von Banach, Wissenschaftliche Zeitschrift der Humboldt-Universität zu Berlin Math.-Nat. R.26:5 (1977) 635-636
Luckhardt, Horst, A fundamental effect in computations on real numbers, Theoretical Computer Science5:3 (1977) 321-324
Manukyan, S. N., On a property of the notion of interior and exterior point with respect to constructive closed curve, Izvestiya Akademii Nauk Armyanskoi SSR. Matematika12 (1977) 303-309
Troelstra, A.S., A note on non-extensional operations in connection with continuity and recursivness, Nederl. Akad. Wetensch. Proc. Ser. A39 (1977) 455-462
Wagner, Klaus, Arithmetische und Bairesche Operatoren, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik23 (1977) 181-191
Weihrauch, Klaus, A generalized computability thesis, in: Karpinski, Marek (ed.), Fundamentals of Computation Theory, vol. 56 of Lecture Notes in Computer Science, Springer, 1977, pages 538-542
1976
Bridges, Douglas S., Some notes on continuity in constructive analysis, Bull. London Math. Soc.8:2 (1976) 179-182
Demuth, Osvald, The constructive analogue of the Denjoy-Young theorem on derived numbers (Russian), Comment. Math. Univ. Carolinae17:1 (1976) 111-126
Demuth, Osvald, The domains of definition of effective operators over general recursive functions and of constructive functions of a real variable (Russian), Comment. Math. Univ. Carolinae17:4 (1976) 633-646
Hauck, Jürgen, Berechenbare reelle Funktionenfolgen, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik22 (1976) 265-282
Kanovič, M.I. and Kushner, B.A., Complexity of algorithms, and Specker sequences (Russian), in: Studies in the Theory of Algorithms and Mathematical Logic, Vyčisl. Centr. Akad. Nauk SSSR, 1976, pages 77-63,160
Kushner, Boris Abramovich, On Grzegorczyk's theorem on the computability of an isolated extremum (Russian), in: Markov, A.A. and Kušner, B.A. (eds.), Studies in the Theory of Algorithms and Mathematical Logic, 1976, pages 112-121, 158
Kushner, Boris Abramovich, The computation of isolated roots of constructive functions (Russian), Zeitschrift für Mathematische Logik und Grundlagen der Mathematik22 (1976) 311-332
Mandelkern, Mark, Connectivity of an interval, Proceedings of the American Mathematical Society54 (1976) 170-172
Manukjan, S. N., Some topological peculiarities of constructive simple arcs, in: Markov, A.A. and Kushner, B. A. (eds.), Studies in the theory of algorithms and mathematical logic, Vol. 2 (Russian), Vyčisl. Centr Akad. Nauk SSSR, Moscow, 1976, pages 122-129, 158
Nuber, J.A., Erratum to: "A constructive ergodic theorem", Transactions of the American Mathematical Society216 (1976) 393
Shepherdson, J.C., On the definition of computable function of a real variable, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik22 (1976) 391-402
Vaĭnberg, Ju. R. and Nogina, Elena Ju., Two types of continuity of computable mappings of numerated topological spaces, in: Studies in the theory of algorithms and mathematical logic, Vol. 2 (Russian), Vyčisl. Centr Akad. Nauk SSSR, Moscow, 1976, pages 84-99, 159
Wagner, Klaus, Arithmetische Operatoren, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik22 (1976) 553-570
1975
Brouwer, L.E.J., The unreliability of logical principles, in: Heyting, A. (ed.), Collected Works, Vol. 1, Philosophy and Foundations of Mathematics, North-Holland, Amsterdam, 1975, pages 107-111
Brouwer, L.E.J., Fixed cores which cannot be found, though they are claimed to exist by classical theorems, in: Heyting, A. (ed.), Collected Works, Vol. 1, Philosophy and Foundations of Mathematics, North-Holland, Amsterdam, 1975, pages 516-518
Brouwer, L.E.J., Collected Works, Vol. 1, Philosophy and Foundations of Mathematics, North-Holland, Amsterdam, 1975
Demuth, Osvald, The differentiability of constructive functions of weakly bounded variation on pseudo numbers (Russian), Comment. Math. Univ. Carolinae16:3 (1975) 583-599
Dummett, M., The Philosophical Basis of Intuitionistic Logic, in: Rose, H.E. and Shepherdson, J.C. (eds.), Logic Colloquium '73, vol. 80 of Stud. Logic. Found. Math., 1975, pages 5-40
Hauck, Jürgen, Turingmaschinen und berechenbare reelle Funktionen, Wissenschaftliche Zeitschrift der Humboldt-Universität zu Berlin Math.-Nat. R.24:6 (1975) 797-798
Hauck, Jürgen, Iterationsverfahren in der konstruktiven Analysis, Wissenschaftliche Zeitschrift der Humboldt-Universität zu Berlin Math.-Nat. R.24:6 (1975) 799-800
John Myhill, Constructive Set Theory, The Journal of Symbolic Logic40:3 (1975) 347-382
Manukjan, S. N., The stability of constructive simple arcs with respect to algorithmic transformations, Doklady Akademii Nauk SSSR220 (1975) 1267-1270
Manukjan, S. N., Some properties of partitionings of the plane by nondegenerate constructive curves, Trudy Vyčisl. Centra Akad. Nauk Armjan. SSR i Erevan. Gos. Univ. Mat. Voprosy Kibernet. i Vyčisl. Tehn.8 (1975) 67-95
Manukjan, S. N., The stability of constructive simple arcs with respect to algorithmic transformations, Soviet Mathematics. Doklady16 (1975) 238-242
Manukjan, S. N., Some properties of partitioning of the plane by non-degenerate constructive curves, Tr. Vychisl. Tsentra Akad. Nauk Arm. SSR Erevan. Gos. Univ.8 (1975) 67-95
Pour-El, Marian B. and Caldwell, J., On a simple definition of computable functions of a real variable - with applications to functions of a complex variable, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik21 (1975) 1-19
1974
Demuth, Osvald, The representability of constructive functions possessing the properties ( S) and ( T_1) in the form of superpositions (Russian), Comment. Math. Univ. Carolinae15 (1974) 49-64
Demuth, Osvald, 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 (Russian), Comment. Math. Univ. Carolinae15 (1974) 195-210
Friedman, Harvey, Some systems of second order arithmetic and their use, in: Proceedings of the International Congress of Mathematicians, Vancouver, 1974, pages 235-242
Kushner, Boris Abramovich, On a type of computable real function (Russian), Dokl. Akad. Nauk SSSR215 (1974) 259-262
Kushner, Boris Abramovich, A constructive version of König's theorem; functions that are computable in the sense of Markov, Grzegorczyk and Lacombe (Russian), in: Theory of algorithms and mathematical logic (dedicated to A.A. Markov on the occasion of his seventieth birthday), 1974, pages 87-111, 215
Orevkov, Vladimir P., A new proof of the uniqueness theorem for constructive differentiable functions of a complex variable (Russian), Zap. Naučn. Sem. Leningrad. Otdel. Inst. Steklov.40 (1974) 119-126,159
Phan Dình-Diêu, Some questions in constructive functional analysis, vol. 114 of Proceedings of the Steklov Institute of Mathematics, American Mathematical Society, Providence, 1974
Pour-El, Marian B., Abstract computability and its relation to the general purpose analog computer (some connections between logic, differential equations and analog computers), Trans. Amer. Math. Soc.199 (1974) 1-28
Vaĭnberg, Ju. R. and Nogina, Elena Ju., Categories of effectively topological spaces, in: Studies in formalized languages and nonclassical logics (Russian), Izdat. "Nauka", Moscow, 1974, pages 253-273
Šanin, N.A., The hierarchy of constructive Brouwer functionals (Russian), Zap. Naučn. Sem. Otdel. Mat. Inst. Steklov.40 (1974) 142-147
1973
Demuth, Osvald, The representability of uniformly continuous constructive functions (Russian), Comment. Math. Univ. Carolinae14 (1973) 7-25
Demuth, Osvald, The constructive analogue of the connection between the Lebesgue measurability of sets and of functions (Russian), Comment. Math. Univ. Carolinae14 (1973) 377-396
Demuth, Osvald and Nemečkova, L., The constructive analogue of the property (T_1) (Russian), Comment. Math. Univ. Carolinae14 (1973) 421-439
Demuth, Osvald and Němečková, L., The constructive analogues of the properties (N) and (S) (Russian), Comment. Math. Univ. Carolinae14 (1973) 565-582
Hauck, Jürgen, Berechenbare reelle Funktionen, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik19 (1973) 121-140
Kreisel, G., Perspectives in the philosophy of pure mathematics, in: Suppes, P. and Henkin, L. and Joja, A. and Moisil, Gr.C. (eds.), Logic, Methodology, and Philosophy of Science VI, Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1973, pages 255-277
Kushner, Boris Abramovich, Computationally complex real numbers (Russian), Zeitschrift für Mathematische Logik und Grundlagen der Mathematik19 (1973) 447-452
Kushner, Boris Abramovich, Continuity theorems for some types of computable operators (Russian), Dokl. Akad. Nauk SSSR208 (1973) 1031-1034
Kushner, Boris Abramovich, Lectures on Constructive Mathematical Analysis (Russian), Izdat. Nauka, 1973
Manukjan, S. N., Constructive everywhere dense simple arcs, Izvestija Akademii Nauk Armjanskoĭ SSR. Serija Matematika8:4 (1973) 291-305, 346
Orevkov, Vladimir P., The complexity of the expansion of algebraic irrationalities in continued fractions (Russian), Trudy Mat. Inst. Steklov.129 (1973) 24-29,267
S. N. Manukjan, Über konstruktive überall dichte einfache Bögen., Izvestiya Akademii Nauk Armyanskoi SSR. Matematika8 (1973) 291-305
Troelstra, A.S., Models and computability, in: Troelstra, A.S. (ed.), Metamathematical Investigation of Intuitionistic Arithmetic and Analysis, vol. 344 of Lecture Notes in Mathematics, 1973, pages 97-174
van Dalen, Dirk, Lectures on Intuitionism, in: Mathais, A. R. D. and Rogers, H. (eds.), Cambridge Summer School in Mathematical Logic, Lecture Notes in Mathematics, 1973, pages 1-94
Šanin, N.A., A hierarchy of ways of understanding judgments in constructive mathematics (Russian), Trudy Mat. Inst. Steklov.129 (1973) 203-266
1972
Bishop, E. and Cheng, H., Constructive Measure Theory, American Mathematical Society, Providence, 1972
Borel, Émil, Euvres de Émil Borel Vol. 1-4, Éditions du CNRS, Paris, 1972
Demuth, Osvald, A necessary and sufficient condition for the representability of constructive functions in the form of a superposition of absolutely continuous functions (Russian), Comment. Math. Univ. Carolinae13 (1972) 227-251
Demuth, Osvald, A sufficient condition for the representability of constructive functions in the form of the sum of two superpositions of absolutely continuous functions (Russian), Comment. Math. Univ. Carolinae13 (1972) 265-282
Eršov, Ju. L., Computable functionals of finite type, Algebra and Logic11:4 (1972) 203-242
Gelfond, Michael G., The relation between the classical and constructive versions of the construction of mathematical analysis (Russian), Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.32 (1972) 5-11
Goodman, N.D. and Myhill, J., The formalization of Bishop's constructive mathematics, in: Lawvere, F. W. (ed.), Toposes, Algebraic Geometry and Logic, vol. 274 of Lecture Notes in Mathematics, 1972, pages 83-96
Hauck, Jürgen, Funktional-Rekursion, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik18 (1972) 31-36
Hauck, Jürgen, Berechenbare gleichmäßige Stetigkeit in der konstruktiven Analysis von Klaua, Wissenschaftliche Zeitschrift der Humboldt-Universität zu Berlin Math.-Nat. R.21:5 (1972) 523-526
Hauck, Jürgen, Berechenbare gleichmäßige Finitheit rekursiver Funktionale, Wissenschaftliche Zeitschrift der Humboldt-Universität zu Berlin Math.-Nat. R.21:5 (1972) 527-529
Myhill, John, What is a real number?, The American Mathematical Monthly79 (1972) 748-754
Nuber, J.A., A constructive ergodic theorem, Transactions of the American Mathematical Society164 (1972) 115-137
Aberth, Oliver, The failure in computable analysis of a classical existence theorem for differential equations, Proceedings of the American Mathematical Society30 (1971) 151-156
Arend Heyting, Intuitionism: An Introduction, 3rd ed., North-Holland, 1971
Ceĭtin, Gregory S. and Zaslavskiĭ, Igor D., Yet another constructive variant of the Cauchy theorem (Russian), Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI)20 (1971) 36-39,282-283
Demuth, Osvald, The superpositions of absolutely continuous constructive functions (Russian), Comment. Math. Univ. Carolinae12 (1971) 423-451
Demuth, Osvald, 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 (Russian), Comment. Math. Univ. Carolinae12 (1971) 587-610
Demuth, Osvald, A certain condition for the differentiability of constructive functions of bounded variation (Russian), Comment. Math. Univ. Carolinae12 (1971) 687-711
Grilliot, Thomas J., On effectively discontinuous type-2 objects, The Journal of Symbolic Logic36 (1971) 245-248
Hauck, Jürgen, Ein Kriterium für die Annahme des Maximums in der Berechenbaren Analysis, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik17 (1971) 193-196
Hauck, Jürgen, Zur Präzisierung des Begriffes berechenbare reelle Funktion, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik17 (1971) 295-300
Manukjan, S. N., The interior points of non-degenerate constructive curves, Doklady Akademii Nauk SSSR196 (1971) 768-769
Manukjan, S. N., On interior points of nondegenerate constructive curves, Soviet Mathematics. Doklady12 (1971) 246-248
Myhill, John, A recursive function defined on a compact interval and having a continuous derivative that is not recursive, Michigan Math. J.18 (1971) 97-98
Orevkov, Vladimir P., The continuity of constructive functionals (Russian), Zap. Naučn. Sem. Leningrad. Otdel. Inst. Steklov.20 (1971) 160-169,287
Scarpellini, Bruno, A model for barrecursion of higher types, Compositio Mathematica23 (1971) 123-153
Schnorr, Claus Peter, Zufälligkeit und Wahrscheinlichkeit, vol. 218 of Lecture Notes in Mathematics, Springer, Berlin, 1971
Schnorr, Claus Peter, Komplexität von Algorithmen mit Anwendung auf die Analysis, Archiv für Mathematische Logik und Grundlagenforschung14 (1971) 54-68
1970
Aberth, Oliver, Computable analysis and differential equations, in: Kino, A. and Myhill, J. and Vesley, R.E. (eds.), Intuitionism and Proof Theory, Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1970, pages 47-52
Bishop, Errett, Mathematics as a numerical language, in: Kino, A. and Myhill, J. and Vesley, R.E. (eds.), Intuitionism and Proof Theory (Proc. Conf., Buffalo, N.Y., 1968), vol. 60 of Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1970, pages 53-71
Ceĭtin, G.S., On upper bounds of recursively enumerable sets of constructive real numbers (Russian), Tr. Mat. Inst. Steklov113 (1970) 102-172
Ceĭtin, Gregory S. and Zaslavskiĭ, Igor D., A criterion of the rectifiability of constructive plane curves (Russian), Izv. Akad Nauk Armjan. SSR Ser. Mat.5 (1970) 434-440
Demuth, Osvald, The representability of constructive functions of weakly bounded variation (Russian), Comment. Math. Univ. Carolinae11 (1970) 421-434
Demuth, Osvald, Mean value theorems for the constructive Lebesgue integral (Russian), Comment. Math. Univ. Carolinae11 (1970) 249-269
Demuth, Osvald, The representability of constructive functions of weakly bounded variation (Russian), Comment. Math. Univ. Carolinae11 (1970) 421-434
Demuth, Osvald, The integrability of derivatives of constructive functions (Russian), Comment. Math. Univ. Carolinae11 (1970) 667-691
Demuth, Osvald, Necessary and sufficient conditions for the absolute continuity of constructive functions (Russian), Comment. Math. Univ. Carolinae11 (1970) 705-726
Goodstein, R.L., Polynomials with computable coefficients, Notre Dame J. Formal Logic11 (1970) 447-448
Kreisel, G., Church's thesis: A kind of reducibility axiom for constructive mathematics, in: Kino, A. and Myhill, J. and Vesley, R.E. (eds.), Intuitionism and Proof Theory, Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1970, pages 121-150
Kreisel, G. and Troelstra, A.S., Formal systems for some branches of intuitionistic analysis, Ann. Math. Logic1 (1970) 229-387
Kushner, Boris Abramovich, Some mass problems connected with the integration of constructive functions (Russian), Trudy Mat. Inst. Steklov.113 (1970) 39-72
Martin-Löf, Per, Notes on constructive mathematics, Almqvist and Wiksell, Stockholm, 1970
Miller, Webb, Recursive function theory and numerical analysis, Journal of Computer and Systems Sciences4 (1970) 465-472
Scott, Dana, Extending the topological interpretation to intuitionistic analysis. II, in: Kino, A. and Myhill, J. and Vesley, R. E. (eds.), Intuitionism and Proof Theory (Proc. Conf., Buffalo, N.Y., 1968), vol. 60 of Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1970, pages 235-255
1969
Aberth, Oliver, A Chain of Inclusion Relations in Computable Analysis, Proceedings of the American Mathematical Society22 (1969) 539-548
Demuth, Osvald, Note on the paper: "Fubini's theorem for the Riemann integral in constructive mathematics" (Russian), Comment. Math. Univ. Carolinae10 (1969) 115-120
Demuth, Osvald, The differentiability of constructive functions (Russian), Comment. Math. Univ. Carolinae10 (1969) 167-175
Demuth, Osvald, The spaces L_n and S in constructive mathematics (Russian), Comment. Math. Univ. Carolinae10 (1969) 261-284
Demuth, Osvald, Linear functionals in the constructive spaces L_r (Russian), Comment. Math. Univ. Carolinae10 (1969) 357-390
Demuth, Osvald, The Lebesgue measurability of sets in constructive mathematic (Russian), Comment. Math. Univ. Carolinae10 (1969) 463-492
Gelfond, Michael G., Constructive pseudofunctions (Russian), Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.16 (1969) 20-27
Goodstein, R.L., A constructive form for the second Gauss proof of the fundamental theorem of algebra, in: Constructive Aspects of the Fundamental Theorem of Algebra, Willey-Interscience, NY, 1969, pages 69-76
Nogina, Elena Ju., Correlations between certain classes of effectively topological spaces, Mat. Zametki5 (1969) 483-495
Orevkov, Vladimir P., Certain properties of homeomorphisms of constructive metric spaces (Russian), Zap. Naučn. Sem. Leningrad. Otdel. Inst. Steklov.16 (1969) 157-164
Soare, R.I., Recursion theory and Dedekind cuts, Trans. Amer. Math. Soc.140 (1969) 271-294
Soare, R.I., Cohesive sets and recursively enumerable Dedekind cuts, Pacific J. Math.31 (1969) 215-231
Specker, Ernst, The fundamental theorem of algebra in recursive analysis, in: Dejon, B. and Henrici, P. (eds.), Constructive Aspects of the Fundamental Theorem of Algebra, Wiley-Interscience, London, 1969, pages 321-329
1968
Aberth, Oliver, Analysis in the Computable Number Field, Journal of the Association for Computing Machinery15 (1968) 275-299
Bishop, Errett, The constructivization of abstract mathematical analysis, Izdat. Mir (1968) 308-313
Ceĭtin, Gregory S. and Zaslavskiĭ, Igor D. and Šanin N.A., Peculiarities of constructive mathematical analysis (Russian), in: Proc. Internat. Congr. Math., Mir, Moscow, 1968, pages 253-261
Demuth, Osvald, Fubini's theorem for the Riemann integral in constructive mathematics. (Russian), Comment. Math. Univ. Carolinae9 (1968) 677-686
Demuth, Osvald, The Lebesgue integral and the concept of measurability of functions in constructive analysis (Russian), Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.8 (1968) 21-28
Demuth, Osvald, The connection between Riemann and Lebesgue integrability of constructive functions (Russian), Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.8 (1968) 29-31
Goodstein, R.L., Existence in mathematics, Compositio Math.20 (1968) 70-82
Kushner, Boris Abramovich, A remark on the domains of definition of constructive analytic functions (Russian), Zap. Naučn. Sem. Leningrad. Otdel. Inst. Steklov.8 (1968) 103-106
Manukjan, S.N. and Zaslavskiĭ, Igor D., Partitionings of the plane by constructive curves (Russian), Trudy Vyčisl. Centr. Akad. Nauk Armjan. SSR i Erevan. Gos. Univ.5 (1968) 26-138
Phan Dình-Diêu, Spaces of constructive infinitely differentiable functions, and functionals therein (Russian), Doklady Akademii Nauk180 (1968) 799-802
Richardson, D.B., Some undecidable problems involving elementary functions of a real variable, The Journal of Symbolic Logic33 (1968) 514-520
Scott, Dana, Extending the topological interpretation to intuitionistic analysis, Compositio Mathematica20 (1968) 194-210
Zaslavskiĭ, I. D. and Manukjan, S. N., Partitionings of the plane by constructive curves, Trudy Vyčisl. Centra Akad. Nauk Armjan. SSR i Erevan. Gos. Univ.5 (1968) 26-138
Šanin, N.A., Constructive Real Numbers and Constructive Function Spaces, vol. 21 of Translations of Mathematical Monographs, American Mathematical Society, Providence, 1968
1967
Bishop, Errett, A constructive ergodic theorem, J. Math. Mech.17 (1967/1968) 631-639
Bishop, Errett, Foundations of Constructive Analysis, McGraw-Hill, New York, 1967
Demuth, Osvald, The Lebesgue integral in constructive analysis (Russian), Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov.4 (1967) 30-43
Demuth, Osvald, A necessary and sufficient condition for the Riemann integrability of constructive functions, Dokl. Akad. Nauk SSSR176 (1967) 757-758
Kushner, Boris Abramovich, On constructive antiderivatives (Russian), Mat. Zametki2 (1967) 157-166
Orevkov, Vladimir P., Certain types of continuity of constructive operators (Russian), Trudy Mat. Inst. Steklov.93 (1967) 164-186
Orevkov, Vladimir P., Constructive mappings of finite polyhedra (Russian), Trudy Mat. Inst. Steklov.93 (1967) 142-163
Zaslavskiĭ, Igor D., Rectifiability of constructive plane curves (Russian), Izv. Akad. Nauk Armjan. SSR Ser. Mat.2 (1967) 69-82
1966
Bishop, Errett, Constructive Methods in the Theory of Banach Algebras, in: Birtel, F.T. (ed.), Function Algebras, Scott-Foresman, Chicago, 1966, pages 343-345
Nogina, Elena Ju., Effectively topological spaces, Dokl. Akad. Nauk SSSR169 (1966) 28-31
Ouspensky, V.A., Leçons sur les fonctions calculables, Mathematical Logic and the Foundations of Mathematics, Hermann, Paris, 1966
Phan Dình-Diêu, On conjugates to constructive, locally convex spaces (Russian), Doklady Akademii Nauk166 (1966) 45-48
1965
Demuth, Osvald, On Lebesgue integration in constructive analysis (Russian), Dokl. Akad. Nauk SSSR160 (1965) 1239-1241
Ilse, Dieter, Zur Stetigkeit berechenbarer reeller Funktionen, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik11 (1965) 297-342
Kleene, Stephen C. and Vesli, R., The foundations of intuitionistic mathematics. Especially in relation to recursive functions., Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1965
Kushner, Boris Abramovich, Constructive theory of the Riemann integral (Russian), Dokl. Akad. Nauk SSSR165 (1965) 1238-1240
Kushner, Boris Abramovich, The existence of unbounded constructive analytic functions (Russian), Dokl. Akad. Nauk SSSR160 (1965) 29-31
Lorenzen, Paul, Differential und Integral. Eine konstruktive Einführung in die klassische Analysis., Akademische Verlagsgesellschaft, Frankfurt, 1965
Phan Dình-Diêu, Constructive locally convex linear topological spaces (Russian), Doklady Akademii Nauk162 (1965) 766-769
Phan Dình-Diêu, The metrizability, normability and multinormability of constructive locally convex spaces (Russian), Doklady Akademii Nauk162 (1965) 1011-1014
Putnam, Hilary, Trial and error predicates and the solution to a problem of Mostowski, The Journal of Symbolic Logic30 (1965) 49-57
1964
Ceĭtin, G.S., Three theorems on constructive functions (Russian), Tr. Mat. Inst. Steklov72 (1964) 537-543
Feferman, S., Systems of predicative analysis, The Journal of Symbolic Logic29 (1964) 1-30
Gaier, D., Konstruktive Methoden der konformen Abbildung, Tracts in Natural Philosophy, Springer, Berlin, 1964
Kushner, Boris Abramovich, Riemann integration in constructive analysis (Russian), Dokl. Akad. Nauk SSSR156 (1964) 255-257
Moschovakis, Yiannis Nicholas, Notation systems and recursive ordered fields, Compositio Math.17 (1964) 40-71
Orevkov, Vladimir P., Certain questions of the theory of polynomials with constructive real coefficients (Russian), Trudy Mat. Inst. Steklov.72 (1964) 462-487
Orevkov, Vladimir P., On constructive mappings of a circle into itself (Russian), Trudy Mat. Inst. Steklov.72 (1964) 437-461
Slisenko, A.O., Examples of a nondiscontinuous but not continuous constructive operator in a metric space (Russian), Trudy Mat. Inst. Steklov72 (1964) 524-532
Zaslavskiĭ, Igor D., On the differentiation and integration of constructive functions (Russian), Doklady Akademii Nauk156 (1964) 25-27
1963
Lachlan, A.H., Recursive real numbers, The Journal of Symbolic Logic28 (1963) 1-16
Mazur, Stanisław, Computable Analysis, vol. 33 of Razprawy Matematyczne, Pánstwowe Wydawnictwo Naukowe, Warsaw, 1963
Orevkov, Vladimir P., A constructive mapping of the square onto itself displacing every constructive point (Russian), Doklady Akademii Nauk152 (1963) 55-58
Orevkov, Vladimir P., Constructive mappings of polyhedra (Russian), Doklady Akademii Nauk152 (1963) 278-281
Scarpellini, Bruno, Zwei unentscheidbare Probleme der Analysis, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik9 (1963) 265-289
Todd, J., Introduction to the Constructive Theory of Functions, Academic Press, New York, 1963
1962
Ceĭtin, G.S., Algorithmic Operators in Constructive Metric Spaces (Russian), Tr. Mat. Inst. Steklov67 (1962) 295-361
Ceĭtin, G.S., Mean value theorems in constructive analysis (Russian), Tr. Mat. Inst. Steklov67 (1962) 362-384
Ceĭtin, Gregory S. and Zaslavskiĭ, Igor D., Singular coverings and properties of constructive functions connected with them (Russian), Tr. Mat. Inst. Steklov67 (1962) 458-502
Hudes, L., Hyperarithmetical real numbers and hyperarithmetical analysis, PhD thesis, Massachusetts Institute of Technology, Cambridge, Mass., 1962
Kreisel, G., Foundations of Intuitionistic Logic, Methodology and Philisophy of Science, in: Logic, Methodology, and Philosophy of Science, 1962, pages 198-210
Zaslavskiĭ, Igor D., Some properties of constructive real numbers and constructive functions (Russian), Tr. Mat. Inst. Steklov67:4 (1962) 385-457
1961
Goodstein, R.L., Recursive Analysis, Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1961
Klaua, Dieter, Konstruktive Analysis, Deutscher Verlag der Wissenschaften, Berlin, 1961
Lehman, R.S., On primitive recursive real numbers, Fundamenta Mathematicae49 (1961) 105-118
1960
Goodstein, R.L. and Hooley, J., On recursive transcendence, Notre Dame J. Formal Logic1 (1960) 127-137
Klaua, Dieter, Berechenbare Reihen, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik6 (1960) 143-161
Uspensky, V.A., Lectures on Computable Functions (Russian), Mathematical Logic and the Foundations of Mathematics, Fiz-MatGiz, Moscow, 1960
Uspensky, V.A., On the relation between various systems of constructive real numbers (Russian), Izv. Vyš. Učebn. Zaved\. Matematika :2(15) (1960) 199-208
1959
Ceĭtin, G.S., Algorithmic Operators in Constructive Complete Separable Metric Spaces (Russian), Doklady Akademii Nauk128 (1959) 49-52
Goodstein, R.L., Recursive analysis, in: Heyting, A. (ed.), Constructivity in Mathematics, Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1959, pages 37-42
Grzegorczyk, Andrzej, Some approaches to constructive analysis, in: Heyting, A. (ed.), Constructivity in Mathematics, Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1959, pages 43-61
Klaua, Dieter, Die Präzisierung des Berechenbarkeitsbegriffes in der Analysis mit Hilfe rationaler Funktionale, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik5 (1959) 33-96
Kreisel, G., Interpretation of analysis by means of constructive functionals of finite types, in: Heyting, A. (ed.), Constructivity in Mathematics, Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1959, pages 101-128
Kreisel, G. and Lacombe, D. and Shoenfield, J.R., Partial recursive functionals and effective operations, in: Heyting, A. (ed.), Constructivity in Mathematics, Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1959, pages 290-297
Lacombe, Daniel, Quelques procédés de définition en topologie récursive, in: Heyting, A. (ed.), Constructivity in Mathematics, North-Holland, Amsterdam, 1959, pages 129-158
Mostowski, Andrzej, On various degrees of constructivism, in: Heyting, A. (ed.), Constructivity in Mathematics, Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1959, pages 178-194
Shoenfield, J.R., On degrees of unsolvability, Ann. of Math.69:2 (1959) 644-653
Specker, Ernst, Der Satz vom Maximum in der rekursiven Analysis, in: Heyting, A. (ed.), Constructivity in Mathematics, Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1959, pages 254-265
Lacombe, Daniel, Les ensembles récursivement ouverts ou fermés, et leurs applications à l'Analyse récursive, Comptes Rendus Académie des Sciences Paris246 (1958) 28-31
Lacombe, Daniel, Sur les possibilites d'extension de la notion de fonction récursive aux fonctions d'une ou plusieurs variables réelles, in: Le raisonnement en mathematiques et en sciences, Editions du Centre National de la Recherche Scientifique, Paris, 1958, pages 67-75
Grzegorczyk, Andrzej, On the definitions of computable real continuous functions, Fundamenta Mathematicae44 (1957) 61-71
Kreisel, G. and Lacombe, D. and Shoenfield, J.R., Fonctionnelles récursivement définissables et fonctionnelles récursives, C.R. Acad. Sci. Paris245 (1957) 399-402
Kreisel, G. and Putnam, H., Eine Unableitbarkeitsbeweismethode für den intuitionistischen Aussagenkalkül, Arch. Math. Logic Grundlag3 (1957) 74-78
Kreisel, Georg and Lacombe, Daniel, Ensembles récursivement mesurables et ensembles récursivement ouverts et fermés, Comptes Rendus Académie des Sciences Paris245 (1957) 1106-1109
Lacombe, Daniel, Les ensembles récursivement ouverts ou fermés, et leurs applications à l'Analyse récursive, Comptes Rendus Académie des Sciences Paris245 (1957) 1040-1043
Lacombe, Daniel, Quelques propriétés d'analyse récursive, Comptes Rendus Académie des Sciences Paris244 (1957) 838-840,996-997
Mostowski, Andrzej, On computable sequences, Fundamenta Mathematicae44 (1957) 37-51
Nerode, Anil, General topology and partial recursive functionals, in: Summaries of Talks at the AMS Summer Institute in Symbolic Logic, Cornell University Mathematics Department, 1957
1956
Ceĭtin, G.S., Uniform recursiveness of algorithmic operators on general recursive functions and a canonical representation for constructive functions of a real argument (Russian), in: Proc. Third All-Union Math. Congr., Moscow 1956, Izdat. Akad. Nauk SSSR, Moscow, 1956, pages 188-189
Goodstein, R.L., On non-constructive theorems of analysis and the decision problem, Math. Scand.3 (1956) 261-263
Heyting, A., Intuitionism: An Introduction, North-Holland, Amsterdam, 1956
Klaua, Dieter, Berechenbare Analysis, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik2 (1956) 265-303
Šanin, N.A., Some problems of mathematical analysis in the light of constructive logic, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik2 (1956) 27-36
1955
Ceĭtin, G.S., On a theorem of Cauchy in constructive analysis (Russian), Uspehi Mat. Nauk10 (1955) 207-209
Grzegorczyk, Andrzej, On the definition of computable functionals, Fundamenta Mathematicae42 (1955) 232-239
Kuznécov, A.V. and Trahténbrot, B.A., Investigation of partially recursive operators by means of the theory of Baire space (Russian), Dokl. Akad. Nauk SSSR105 (1955) 897-900
Lacombe, Daniel, Classes récursivement fermés et fonctions majorantes, Comptes Rendus Académie des Sciences Paris240 (1955) 716-718
Lacombe, Daniel, Extension de la notion de fonction récursive aux fonctions d'une ou plusieurs variables réelles I, Comptes Rendus Académie des Sciences Paris240 (1955) 2478-2480
Lacombe, Daniel, Extension de la notion de fonction récursive aux fonctions d'une ou plusieurs variables réelles II, Comptes Rendus Académie des Sciences Paris241 (1955) 13-14
Lacombe, Daniel, Extension de la notion de fonction récursive aux fonctions d'une ou plusieurs variables réelles III, Comptes Rendus Académie des Sciences Paris241 (1955) 151-153
Lacombe, Daniel, Remarques sur les opérateurs récursifs et sur les fonctions récursives d'une variable réelle, Comptes Rendus Académie des Sciences Paris241 (1955) 1250-1252
Mostowski, Andrzej, The present state of investigations on the foundations of mathematics, vol. 9 of Rozprawy Matematyczne, Polska Akademia Nauk, Warsaw, 1955
Myhill, J. and Shepherdson, J., Effective operations on partial recursive functions, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik1 (1955) 310-317
Zaslavskiĭ, Igor D., Disproof of some theorems of classical analysis in constructive analysis (Russian), Usp. Mat. Nauk10:4 (1955) 209-210
1954
Brouwer, L.E.J., Points and spaces, Canad. Journ. Math.6 (1954) 1-17
Goodstein, R.L., The recursive irrationality of π, The Journal of Symbolic Logic19 (1954) 267-274
Markov, A.A., On the continuity of constructive functions (Russian), Uspekhi Mat. Nauk (N.S.)9 (1954) 226-230
Rice, H. Gordon, Recursive real numbers, Proc. Amer. Math. Soc.5 (1954) 784-791
1953
Mostowski, Andrzej, A lemma concerning recursive functions and its applications, Bull. Acad. Polon. Sci. Cl. III1 (1953) 277-280
Myhill, John, Criteria of constructibility for real numbers, The Journal of Symbolic Logic18:1 (1953) 7-10
1952
Brouwer, L.E.J., An intuitionist correction of the fixed-point theorem on the sphere, Proceedings of the Royal Society. London. Series A.213 (1952) 1-2
Kreisel, Georg, On the interpretation of non-finitist proofs. II. Interpretation of number theory. Applications, The Journal of Symbolic Logic17 (1952) 43-58
1951
Grzegorczyk, Andrzej, Undecidability of some topological theories, Fund. Math.38 (1951) 137-152
Heyting, A., Note on the Riesz-Fischer theorem, Indagationes Mathematicae13 (1951) 35-40
Lorenzen, Paul, Mass und Integral in der konstruktiven Analysis, Mathematische Zeitschrift54 (1951) 275-290
Robinson, R.M., Review of "Peter, R., Rekursive Funktionen", The Journal of Symbolic Logic16 (1951) 280-282
1950
Borel, Émile, La théorie de la mesure et al théorie de l'integration, in: Leçons sur la théorie des fonctions, Gauthier-Villars, Paris, 1950, pages 214-256
Goodstein, R.L., Mean value theorems in recursive function theory I. Differential mean value theorems, Proc. London Math. Soc.52 (1950) 81-106
1949
Goodstein, R.L., Missing value theorems, Math. Gaz.33 (1949) 19-25
Specker, Ernst, Nicht konstruktiv beweisbare Sätze der Analysis, The Journal of Symbolic Logic14:3 (1949) 145-158
1945
Rosenbloom, Paul C., An elementary constructive proof of the fundamental theorem of algebra, American Mathematical Monthly52:10 (1945) 562-570
Turing, Alan M., On computable numbers, with an application to the Entscheidungsproblem. A correction., Proceedings of the London Mathematical Society43:2 (1938) 544-546
1937
Banach, Stefan and Mazur, Stanisław, Sur les fonctions calculables, Annales de la Société Polonaise de Mathématique16 (1937) 219
Turing, Alan M., On computable numbers, with an application to the Entscheidungsproblem, Proceedings of the London Mathematical Society42:2 (1937) 230-265
1929
Glivenko, V.I., Sur quelques points de la logique de M. Brouwer, Roy. Belg. Bull. Cl. Sci.15 (1929) 183-188
1928
Glivenko, V.I., Sur la logique de M. Brouwer, Roy. Belg. Bull. Cl. Sci.14 (1928) 225-228