Bagaviev, Ramil and Batyrshin, Ilnur I. and Bazhenov, Nikolay and
Bushtets, Dmitry and Dorzhieva, Marina and Koh, Heer Tern and Kornev,
Ruslan and Melnikov, Alexander G. and Ng, Keng Meng, Computably and punctually universal spaces, Annals of Pure and Applied Logic176:1 (2025) Paper No. 103491, 31
Bienvenu, Laurent, Randomized Algorithms in Computability Theory, PhD thesis, Université de Bordeaux, 2025
Binder, Ilia and He, Qiandu and Li, Zhiqiang and Zhang, Yiwei, On Computability of Equilibrium States, International Mathematics Research Notices2025:6 (2025) rnaf055
Brattka, Vasco and Rauzy, Emmanuel, Effective second countability in computable analysis, in: Beckmann, Arnold and Oitavem, Isabel and Manea, Florin (eds.), Crossroads of Computability and Logic: Insights, Inspirations, and Innovations, vol. 15764 of Lecture Notes in Computer Science, Springer, Cham, 2025, pages 19-33
Brattka, Vasco and Smischliaew, Hendrik, Computability of Initial Value Problems, in: Beckmann, Arnold and Oitavem, Isabel and Manea, Florin (eds.), Crossroads of Computability and Logic: Insights, Inspirations, and Innovations, vol. 15764 of #LNCS#, Springer, Cham, 2025, pages 191-206
Franklin, Johanna and Neumann, Eike and Pauly, Arno and Pradic, Cécilia
and Valenti, Manlio, Represented Spaces of Represented Spaces, in: Beckmann, Arnold and Oitavem, Isabel and Manea, Florin (eds.), Crossroads of Computability and Logic: Insights, Inspirations, and
Innovations, vol. 15764 of LNCS, Springer, Cham, 2025, pages 47-61
Georgiev, Ivan and Kristiansen, Lars, On S-Degrees of Some Representations of Irrational Numbers, in: Beckmann, Arnold and Oitavem, Isabel and Manea, Florin (eds.), Crossroads of Computability and Logic: Insights, Inspirations, and
Innovations, vol. 15764 of LNCS, Springer, Cham, 2025, pages 222-236
Graça, Daniel, Computation with Real Numbers and Continuous-Time Dynamical Systems, in: Beckmann, Arnold and Oitavem, Isabel and Manea, Florin (eds.), Crossroads of Computability and Logic: Insights, Inspirations, and
Innovations, vol. 15764 of LNCS, Springer, Cham, 2025, pages 62-75
Hertling, Peter and Janicki, Philip, Binary Expansions of Regular Reals and Reordered Computable Numbers, in: Beckmann, Arnold and Oitavem, Isabel and Manea, Florin (eds.), Crossroads of Computability and Logic: Insights, Inspirations, and
Innovations, vol. 15764 of LNCS, Springer, Cham, 2025, pages 253-267
Iljazović, Zvonko and Jelić, Matea, Computability of Chainable Graphs, Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti29:564 (2025) 1-22
Ingall, Corrie, Properties of Range Sets of Continuous Functions in Reverse Mathematics, in: Beckmann, Arnold and Oitavem, Isabel and Manea, Florin (eds.), Crossroads of Computability and Logic: Insights, Inspirations, and
Innovations, vol. 15764 of LNCS, Springer, Cham, 2025, pages 268-282
Koh, Heer Tern and Melnikov, Alexander G. and Ng, Keng Meng, Computable topological groups, The Journal of Symbolic Logic90:1 (2025) 188-220
Mayordomo, Elvira, A Point to Set Principle for Finite-State Dimension, in: Beckmann, Arnold and Oitavem, Isabel and Manea, Florin (eds.), Crossroads of Computability and Logic: Insights, Inspirations, and
Innovations, vol. 15764 of LNCS, Springer, Cham, 2025, pages 299-304
Neumann, Eike and Pauly, Arno and Pradic, Cécilia and Valenti,
Manlio, Computably Discrete Represented Spaces, in: Beckmann, Arnold and Oitavem, Isabel and Manea, Florin (eds.), Crossroads of Computability and Logic: Insights, Inspirations, and
Innovations, vol. 15764 of LNCS, Springer, Cham, 2025, pages 349-364
Perales-Eceiza, Álvaro and Cubitt, Toby and Gu, Mile and Pérez-García, David and Wolf, Michael M., Undecidability in physics: a review, Physics Reports. A Review Section of Physics Letters1138 (2025) 1-29
Pradic, Cécilia and Price, Ian, Weihrauch Problems as Containers, in: Beckmann, Arnold and Oitavem, Isabel and Manea, Florin (eds.), Crossroads of Computability and Logic: Insights, Inspirations, and
Innovations, vol. 15764 of LNCS, Springer, Cham, 2025, pages 395-409
Sanders, Sam, Coding is hard, The Journal of Symbolic Logic (2025) 1-29
Selivanov, Victor, L_ωω, L_ω_1ω, and the Wadge Hierarchy, in: Beckmann, Arnold and Oitavem, Isabel and Manea, Florin (eds.), Crossroads of Computability and Logic: Insights, Inspirations, and
Innovations, vol. 15764 of LNCS, Springer, Cham, 2025, pages 425-439
Selivanov, Victor and Smirnov, Ilya, Ordinal Invariants of the h-Preorder on k-Labeled Forests, in: Beckmann, Arnold and Oitavem, Isabel and Manea, Florin (eds.), Crossroads of Computability and Logic: Insights, Inspirations, and
Innovations, vol. 15764 of LNCS, Springer, Cham, 2025, pages 440-451
Titov, Ivan, Variants of Solovay Reducibility, in: Beckmann, Arnold and Oitavem, Isabel and Manea, Florin (eds.), Crossroads of Computability and Logic: Insights, Inspirations, and
Innovations, vol. 15764 of LNCS, Springer, Cham, 2025, pages 467-481
Bazhenov, Nikolay and Fiori-Carones, Marta and Liu, Lu and Melnikov,
Alexander, Primitive recursive reverse mathematics, Annals of Pure and Applied Logic175:1, Part A (2024) 103354
Blanc, Manon and Bournez, Olivier, The complexity of computing in continuous time: space complexity
is precision, in: 51st International Colloquium on Automata, Languages, and
Programming, vol. 297 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2024, page Art. No. 129, 22
Bournez, Olivier and Gozzi, Riccardo, Solving Discontinuous Initial Value Problems with Unique Solutions
Is Equivalent to Computing over the Transfinite, in: Beyersdorff, Olaf and Kanté, Mamadou Moustapha and Kupferman,
Orna and Lokshtanov, Daniel (eds.), 41st International Symposium on Theoretical Aspects of Computer Science
(STACS 2024), vol. 289 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl - Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2024, pages 20:1-20:19
Bresolin, Davide and Collins, Pieter and Geretti, Luca and Segala,
Roberto and Villa, Tiziano and \v Zivanović Gonzalez, Sanja, A computable and compositional semantics for hybrid systems, Information and Computation300 (2024) Paper No. 105189, 38
Downey, Rod and Greenberg, Noam and Qian, Long, Some Open Questions and Recent Results on Computable Banach Spaces, in: Levy Patey, Ludovic and Pimentel, Elaine and Galeotti, Lorenzo and
Manea, Florin (eds.), Twenty Years of Theoretical and Practical Synergies, Springer Nature Switzerland, Cham, 2024, pages 10-26
Downey, Rodney G and Greenberg, Noam and Tanggara, Andrew, Algorithmically random series, Computability13:3-4 (2024) 349-361
Goh, Jun Le and Pauly, Arno and Valenti, Manlio, The Weakness of Finding Descending Sequences in Ill-Founded Linear
Orders, in: Levy Patey, Ludovic and Pimentel, Elaine and Galeotti, Lorenzo and
Manea, Florin (eds.), Twenty Years of Theoretical and Practical Synergies, Springer Nature Switzerland, Cham, 2024, pages 339-350
Hölzl, Rupert and Janicki, Philip and Merkle, Wolfgang and Stephan, Frank, Randomness versus superspeedability, in: 49th International Symposium on Mathematical Foundations of Computer Science, vol. 306 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2024, page Art. No. 62, 14
Lee, Yunseok and Boche, Holger and Kutyniok, Gitta, Computability of optimizers, IEEE Transactions on Information Theory70:4 (2024) 2967-2983
Lempp, Steffen and Miller, Joseph S. and Pauly, Arno and Soskova,
Mariya I. and Valenti, Manlio, Minimal covers in the Weihrauch degrees, Proceedings of the American Mathematical Society152:11 (2024) 4893-4901
Meer, Klaus and Ziegler, Martin, Software testing in computable analysis, in: Cho, Da-Jung and Kim, Jongmin (eds.), Unconventional computation and natural computation, vol. 14776 of Lecture Notes in Computer Science, Springer, Cham, 2024, pages 58-73
Nandakumar, Satyadev and Pulari, Subin and S, Akhil, Point-to-set principle and constructive dimension faithfulness, in: 49th International Symposium on Mathematical Foundations of Computer Science, vol. 306 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2024, page Art. No. 76, 15
Park, Sewon and Brauße, Franz and Collins, Pieter and Kim, SunYoung
and Konečný, Michal and Lee, Gyesik and M\"ller, Norbert
and Neumann, Eike and Preining, Norbert and Ziegler, Martin, Semantics, Specification Logic, and Hoare Logic of Exact Real Computation, Logical Methods in Computer Science20:2 (2024)
Pauly, Arno and Soldá, Giovanni, Sequential Discontinuity and First-Order Problems, in: Levy Patey, Ludovic and Pimentel, Elaine and Galeotti, Lorenzo and
Manea, Florin (eds.), Twenty Years of Theoretical and Practical Synergies, Springer Nature Switzerland, Cham, 2024, pages 351-365
Sanders, Sam, On the Computational Properties of Weak Continuity Notions, in: Levy Patey, Ludovic and Pimentel, Elaine and Galeotti, Lorenzo and
Manea, Florin (eds.), Twenty Years of Theoretical and Practical Synergies, Springer Nature Switzerland, Cham, 2024, pages 113-125
Brattka, Vasco, On the complexity of learning programs, in: Della Vedova, Gianluca and Dundua, Besik and Lempp, Steffen and Manea, Florin (eds.), Unity of Logic and Computation, vol. 13967 of #LNCS#, Springer, Cham, 2023, pages 166-177
Cipriani, Vittorio, Many Problems, Different Frameworks, Classification of Problems in
Computable Analysis and Algorithmic Learning Theory, PhD thesis, Universitá degli Studi di Udine, 2023
Cipriani, Vittorio and Pauly, Arno, The Complexity of Finding Supergraphs, in: Della Vedova, Gianluca and Dundua, Besik and Lempp, Steffen and Manea,
Florin (eds.), Unity of Logic and Computation, vol. 13967 of LNCS, Springer, Cham, 2023, pages 178-189
Georgiev, Ivan, Subrecursive Graphs of Representations of Irrational Numbers, in: Della Vedova, Gianluca and Dundua, Besik and Lempp, Steffen and Manea,
Florin (eds.), Unity of Logic and Computation, vol. 13967 of LNCS, Springer, Cham, 2023, pages 154-165
Gilman, Jane, Computability models: algebraic, topological and geometric algorithms, in: Detinko, Alla and Kapovich, Michael and Kontorovich, Alex and Sarnak,
Peter and Schwartz, Richard (eds.), Computational Aspects of Discrete Subgroups of Lie Groups, vol. 783 of Contemporary Mathematics, American Mathematical Society, Providence, RI, 2023, pages 57-68
Hiroshima, Keita and Kawamura, Akitoshi, Elementarily Traceable Irrational Numbers, in: Della Vedova, Gianluca and Dundua, Besik and Lempp, Steffen and Manea,
Florin (eds.), Unity of Logic and Computation, vol. 13967 of LNCS, Springer, Cham, 2023, pages 135-140
Hoyrup, Mathieu, Topological Aspects of Representations in Computable Analysis, Habilitation Thesis, Laboratoire Lorrain de Recherche en Informatique et ses Applications, Nancy, France, 2023
Kihara, Takayuki and Pauly, Arno, De Groot Duality for Represented Spaces, in: Della Vedova, Gianluca and Dundua, Besik and Lempp, Steffen and Manea,
Florin (eds.), Unity of Logic and Computation, vol. 13967 of LNCS, Springer, Cham, 2023, pages 89-101
Konečný, Michal and Park, Sewon and Thies, Holger, Formalizing hyperspaces for extracting efficient exact real computation, in: 48th International Symposium on Mathematical Foundations
of Computer Science, vol. 272 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2023, page Art. No. 59, 16
Lutz, Jack H. and Nandakumar, Satyadev and Pulari, Subin, A Weyl criterion for finite-state dimension and applications, in: 48th International Symposium on Mathematical Foundations of Computer Science, vol. 272 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2023, page Art. No. 65, 16
Nandakumar, Satyadev and Pulari, Subin, Real Numbers Equally Compressible in Every Base, in: Berenbrink, Petra and Bouyer, Patricia and Dawar, Anuj and Kanté,
Mamadou Moustapha (eds.), 40th International Symposium on Theoretical Aspects of Computer Science
(STACS 2023), vol. 254 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl - Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2023, pages 48:1-48:20
Nandakumar, Satyadev and Pulari, Subin, Real numbers equally compressible in every base, in: 40th International Symposium on Theoretical Aspects of Computer Science, vol. 254 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2023, page Art. No. 48, 20
Nandakumar, Satyadev and S, Akhil and Vishnoi, Prateek, Effective Continued Fraction Dimension Versus Effective Hausdorff
Dimension of Reals, in: Leroux, Jérôme and Lombardy, Sylvain and Peleg, David (eds.), 48th International Symposium on Mathematical Foundations of Computer
Science (MFCS 2023), vol. 272 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl - Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2023, pages 70:1-70:15
Ratschan, Stefan, Deciding Predicate Logical Theories Of Real-Valued Functions, in: Leroux, Jérôme and Lombardy, Sylvain and Peleg, David (eds.), 48th International Symposium on Mathematical Foundations of Computer
Science (MFCS 2023), vol. 272 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl - Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2023, pages 76:1-76:15
Sanders, Sam, The Non-normal Abyss in Kleene's Computability Theory, in: Della Vedova, Gianluca and Dundua, Besik and Lempp, Steffen and Manea,
Florin (eds.), Unity of Logic and Computation, vol. 13967 of LNCS, Springer, Cham, 2023, pages 37-49
Ackerman, Nathanael and Asilis, Julian and Di, Jieqi and Freer, Cameron
and Tristan, Jean-Baptiste, Computable PAC Learning of Continuous Features, in: Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer
Science, LICS '22, Association for Computing Machinery, New York, NY, USA, 2022
Amir, Djamel Eddine and Hoyrup, Mathieu, Computability of Finite Simplicial Complexes, in: Bojańczyk, Mikołaj and Merelli, Emanuela and Woodruff, David
P. (eds.), 49th International Colloquium on Automata, Languages, and Programming
(ICALP 2022), vol. 229 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl - Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2022, pages 111:1-111:16
Barrett, Jordan Mitchell and Downey, Rodney G. and Greenberg, Noam, Cousin's lemma in second-order arithmetic, Proceedings of the American Mathematical Society. Series B9 (2022) 111-124
Binder, Ilia and Glucksam, Adi and Rojas, Cristobal and Yampolsky,
Michael, Computability in harmonic analysis, Foundations of Computational Mathematics22:3 (2022) 849-873
Boche, Holger and Pohl, Volker and Poor, H. Vincent, Recent progress in computability for prediction and Wiener filter
theory, Transactions of A. Razmadze Mathematical Institute176:3 (2022) 323-344
Brattka, Vasco, Weihrauch complexity and the Hagen school of computable analysis, in: Löwe, Benedikt and Sarikaya, Deniz (eds.), 60 Jahre DVMLG, vol. 48 of Tributes, College Publications, London, 2022, pages 13-44
Brauße, Franz and Collins, Pieter and Ziegler, Martin, Computer Science for Continuous Data, in: Boulier, François and England, Matthew and Sadykov, Timur M.
and Vorozhtsov, Evgenii V. (eds.), Computer Algebra in Scientific Computing, Springer, Cham, 2022, pages 62-82
Cubitt, Toby and Perez-Garcia, David and Wolf, Michael M., Undecidability of the spectral gap, Forum of Mathematics. Pi10 (2022) Paper No. e14, 102
Dadush, Daniel and Végh, László A. and Zambelli, Giacomo, On finding exact solutions of linear programs in the oracle model, in: Proceedings of the 2022 Annual ACM-SIAM Symposium on Discrete
Algorithms (SODA), Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2022, pages 2700-2722
de Brecht, Matthew, Constructing the space of valuations of a quasi-Polish space as
a space of ideals, in: Manea, Florin and Simpson, Alex (eds.), 30th EACSL Annual Conference on Computer Science Logic, vol. 216 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2022, page Art. No. 9, 10
Diener, Hannes and Hendtlass, Matthew, The Third Trick, Logical Methods in Computer Science18:3 (2022) 21:1-21:12
Neumann, Eike, On envelopes and backward approximations, in: Revolutions and revelations in computability, vol. 13359 of Lecture Notes in Computer Science, Springer, Cham, 2022, pages 220-233
Stull, D. M., The Dimension Spectrum Conjecture for Planar Lines, in: Bojańczyk, Mikołaj and Merelli, Emanuela and Woodruff, David
P. (eds.), 49th International Colloquium on Automata, Languages, and Programming
(ICALP 2022), vol. 229 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl - Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2022, pages 133:1-133:20
Yasugi, Mariko and Tsujii, Yoshiki and Mori, Takakazu, A effective study of continued ractions and applications, in: Ikeda, Kazuma (ed.), Theory and Applications of Proof and Computation, vol. 2228 of RIMS Kôky\^uroku, Research Institute for Mathematical Sciences, Kyoto, 2022, pages 168-185
Alaev, P. E. and Selivanov, V. L., Fields of algebraic numbers computable in polynomial time. II, Algebra and Logic60:6 (2021) 349-359
Alaev, Pavel and Selivanov, Victor, Complexity issues for the iterated h-preorders, in: Descriptional complexity of formal systems, vol. 13037 of Lecture Notes in Comput. Sci., Springer, Cham, 2021, pages 1-12
Andreev, Valentin V. and McNicholl, Timothy H., Computable Complex Analysis, in: Brattka, Vasco and Hertling, Peter (eds.), Handbook of Computability and Complexity in Analysis, Theory and Applications of Computability, Springer, Cham, 2021, pages 101-140
Bournez, Olivier and Pouly, Amaury, A Survey on Analog Models of Computation, in: Brattka, Vasco and Hertling, Peter (eds.), Handbook of Computability and Complexity in Analysis, Theory and Applications of Computability, Springer, Cham, 2021, pages 173-226
Brattka, Vasco and Gherardi, Guido, Completion of Choice, Annals of Pure and Applied Logic172:3 (2021) 102914
Brattka, Vasco and Gherardi, Guido and Pauly, Arno, Weihrauch Complexity in Computable Analysis, in: Brattka, Vasco and Hertling, Peter (eds.), Handbook of Computability and Complexity in Analysis, Theory and Applications of Computability, Springer, Cham, 2021, pages 367-417
Diener, Hannes and Ishihara, Hajime, Bishop-Style Constructive Reverse Mathematics, in: Brattka, Vasco and Hertling, Peter (eds.), Handbook of Computability and Complexity in Analysis, Theory and Applications of Computability, Springer, Cham, 2021, pages 347-365
Ferreira, Fernando, On False Heine/Borel Compactness Principles in Proof Mining, in: De Mol, Liesbeth and Weiermann, Andreas and Manea, Florin and Fernández-Duque,
David (eds.), Connecting with Computability, Springer, Cham, 2021, pages 199-203
Franklin, Johanna N. Y., A Church-Turing Thesis for Randomness?, in: De Mol, Liesbeth and Weiermann, Andreas and Manea, Florin and Fernández-Duque,
David (eds.), Connecting with Computability, Springer, Cham, 2021, pages 217-226
Gaßner, Christine and Pauly, Arno and Steinberg, Florian, Computing measure as a primitive operation in real number computation, in: 29th EACSL Annual Conference on Computer Science Logic, vol. 183 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2021, page Art. No. 22, 22
Georgiev, Ivan, Dedekind Cuts and Long Strings of Zeros in Base Expansions, in: De Mol, Liesbeth and Weiermann, Andreas and Manea, Florin and Fernández-Duque,
David (eds.), Connecting with Computability, Springer, Cham, 2021, pages 248-259
Graça, Daniel S. and Zhong, Ning, Computability of Differential Equations, in: Brattka, Vasco and Hertling, Peter (eds.), Handbook of Computability and Complexity in Analysis, Theory and Applications of Computability, Springer, Cham, 2021, pages 71-99
Graça, Daniel S. and Zhong, Ning, Computability of Limit Sets for Two-Dimensional Flows, in: De Mol, Liesbeth and Weiermann, Andreas and Manea, Florin and Fernández-Duque,
David (eds.), Connecting with Computability, Springer, Cham, 2021, pages 494-503
Hoyrup, Mathieu and Rute, Jason, Computable Measure Theory and Algorithmic Randomness, in: Brattka, Vasco and Hertling, Peter (eds.), Handbook of Computability and Complexity in Analysis, Theory and Applications of Computability, Springer, Cham, 2021, pages 227-270
Hughes, Noah A., Applications of Computability Theory to Infinitary Combinatorics, PhD thesis, University of Connecticut, 2021
Iljazović, Zvonko and Takayuki Kihara, Computability of Subsets of Metric Spaces, in: Brattka, Vasco and Hertling, Peter (eds.), Handbook of Computability and Complexity in Analysis, Theory and Applications of Computability, Springer, Cham, 2021, pages 29-69
Kjos-Hanssen, Bjørn and Webb, David J., KL-Randomness and Effective Dimension Under Strong Reducibility, in: De Mol, Liesbeth and Weiermann, Andreas and Manea, Florin and Fernández-Duque,
David (eds.), Connecting with Computability, Springer, Cham, 2021, pages 457-468
Konečný, Michal and Park, Sewon and Thies, Holger, Axiomatic reals and certified efficient exact real computation, in: Logic, language, information, and computation, vol. 13038 of Lecture Notes in Comput. Sci., Springer, Cham, 2021, pages 252-268
Lutz, Jack H. and Mayordomo, Elvira, Algorithmic Fractal Dimensions in Geometric Measure Theory, in: Brattka, Vasco and Hertling, Peter (eds.), Handbook of Computability and Complexity in Analysis, Theory and Applications of Computability, Springer, Cham, 2021, pages 271-302
Lutz, Patrick, Results on Martin's Conjecture, PhD thesis, University of California, Berkeley, 2021
Nandakumar, Satyadev and Pulari, Subin, Ergodic theorems and converses for PSPACE functions, in: 46th International Symposium on Mathematical Foundations of Computer Science, vol. 202 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2021, page Art. No. 80, 19
Rettinger, Robert and Zheng, Xizhong, Computability of Real Numbers, in: Brattka, Vasco and Hertling, Peter (eds.), Handbook of Computability and Complexity in Analysis, Theory and Applications of Computability, Springer, Cham, 2021, pages 3-28
Rojas, Cristóbal and Yampolsky, Michael, Computable Geometric Complex Analysis and Complex Dynamics, in: Brattka, Vasco and Hertling, Peter (eds.), Handbook of Computability and Complexity in Analysis, Theory and Applications of Computability, Springer, Cham, 2021, pages 143-172
Sanders, Sam, Splittings and Robustness for the Heine-Borel Theorem, in: De Mol, Liesbeth and Weiermann, Andreas and Manea, Florin and Fernández-Duque,
David (eds.), Connecting with Computability, Springer, Cham, 2021, pages 395-406
Schröder, Matthias, Admissibly Represented Spaces and Qcb-Spaces, in: Brattka, Vasco and Hertling, Peter (eds.), Handbook of Computability and Complexity in Analysis, Theory and Applications of Computability, Springer, Cham, 2021, pages 305-346
Selivanov, V. L., Effective Wadge hierarchy in computable quasi-Polish spaces, Siberian Electronic Mathematical Reports18:1 (2021) 121-135
Selivanov, Victor, Non-collapse of the Effective Wadge Hierarchy, in: De Mol, Liesbeth and Weiermann, Andreas and Manea, Florin and Fernández-Duque,
David (eds.), Connecting with Computability, Springer, Cham, 2021, pages 407-416
Selivanov, Victor, Non-collapse of the effective Wadge hierarchy, in: Connecting with computability, vol. 12813 of Lecture Notes in Comput. Sci., Springer, Cham, 2021, pages 407-416
Selivanov, Victor and Selivanova, Svetlana, Primitive recursive ordered fields and some applications, in: Computer algebra in scientific computing, vol. 12865 of Lecture Notes in Comput. Sci., Springer, Cham, 2021, pages 353-369
Steifer, Tomasz, Simple Betting and Stochasticity, in: De Mol, Liesbeth and Weiermann, Andreas and Manea, Florin and Fernández-Duque,
David (eds.), Connecting with Computability, Springer, Cham, 2021, pages 424-433
Yasugi, Mariko and Tsujii, Yoshiki and Mori, Takakazu, Irrational-based computability of functions, in: Arai, Toshiyasu and Kikuchi, Makoto and Kuroda, Satoru and Okada,
Mitsuhiro and Yorioka, Teruyuki (eds.), Advances in mathematical logic, vol. 369 of Springer Proc. Math. Stat., Springer, Singapore, 2021, pages 181-204
Yuen, Henry, Einstein Meets Turing: The Computability of Nonlocal Games, in: De Mol, Liesbeth and Weiermann, Andreas and Manea, Florin and Fernández-Duque,
David (eds.), Connecting with Computability, Springer, Cham, 2021, pages 483-493
Anglès d'Auriac, Paul-Elliot, Infinite Computations in Algorithmic Randomness and Reverse Mathematics, PhD thesis, Université Paris-Est, 2020
Barmpalias, George, Aspects of Chaitin's Omega, in: Franklin, Johanna N.Y. and Porter, Christopher P. (eds.), Algorithmic Randomness: Progress and Prospects, vol. 50 of Lecture Notes in Logic, Cambridge University Press, 2020, pages 175-205
Bournez, Olivier, Computability, Complexity and Programming with Ordinary Differential
Equations (Invited Talk), in: Paul, Christophe and Bläser, Markus (eds.), 37th International Symposium on Theoretical Aspects of Computer Science
(STACS 2020), vol. 154 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl-Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2020, pages 3:1-3:13
Callard, Antonin and Hoyrup, Mathieu, Descriptive Complexity on Non-Polish Spaces, in: Paul, Christophe and Bläser, Markus (eds.), 37th International Symposium on Theoretical Aspects of Computer Science
(STACS 2020), vol. 154 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl-Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2020, pages 8:1-8:16
de Brecht, Matthew, Some Notes on Spaces of Ideals and Computable Topology, in: Anselmo, Marcella and Della Vedova, Gianluca and Manea, Florin and
Pauly, Arno (eds.), Beyond the Horizon of Computability, Springer International Publishing, Cham, 2020, pages 26-37
Downey, Rodney G. and Melnikov, Alexander G., Computable Analysis and Classification Problems, in: Anselmo, Marcella and Della Vedova, Gianluca and Manea, Florin and
Pauly, Arno (eds.), Beyond the Horizon of Computability, Springer International Publishing, Cham, 2020, pages 100-111
Du, Ding-Zhu and Wang, Jie, In Memoriam: Ker-I Ko (1950-2018), in: Du, Ding-Zhu and Wang, Jie (eds.), Complexity and Approximation: In Memory of Ker-I Ko, Springer, Cham, 2020, pages 1-7
Franklin, Johanna N.Y., Relativization in randomness, in: Franklin, Johanna N.Y. and Porter, Christopher P. (eds.), Algorithmic Randomness: Progress and Prospects, vol. 50 of Lecture Notes in Logic, Cambridge University Press, 2020, pages 134-174
Franklin, Johanna N.Y. and Porter, Christopher P., Key developments in algorithmic randomness, in: Franklin, Johanna N.Y. and Porter, Christopher P. (eds.), Algorithmic Randomness: Progress and Prospects, vol. 50 of Lecture Notes in Logic, Cambridge University Press, 2020, pages 1-39
Gorman, Alexi Block and Hieronymi, Philipp and Kaplan, Elliot and
Meng, Ruoyu and Walsberg, Erik and Wang, Zihe and Xiong, Ziqin and
Yang, Hongru, Continuous Regular Functions, Logical Methods in Computer Science16:1 (2020) 17:1-17:24
Horvat, Marko and Iljazović, Zvonko and Pažek, Bojan, Computability of pseudo-cubes, Annals of Pure and Applied Logic171:8 (2020) 102823
Hoyrup, Mathieu, Descriptive Complexity on Non-Polish Spaces II, in: Czumaj, Artur and Dawar, Anuj and Merelli, Emanuela (eds.), 47th International Colloquium on Automata, Languages, and Programming
(ICALP 2020), vol. 168 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl-Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2020, pages 132:1-132:17
Hoyrup, Mathieu, Algorithmic randomness and layerwise computability, in: Franklin, Johanna N.Y. and Porter, Christopher P. (eds.), Algorithmic Randomness: Progress and Prospects, vol. 50 of Lecture Notes in Logic, Cambridge University Press, 2020, pages 115-133
Hoyrup, Mathieu and Kihara, Takayuki and Selivanov, Victor, Degrees of Non-computability of Homeomorphism Types of Polish Spaces, in: Anselmo, Marcella and Della Vedova, Gianluca and Manea, Florin and
Pauly, Arno (eds.), Beyond the Horizon of Computability, Springer International Publishing, Cham, 2020, pages 189-192
Jakobsen, Sune Kristian and Simonsen, Jakob Grue, Liouville Numbers and the Computational Complexity of Changing Bases, in: Anselmo, Marcella and Della Vedova, Gianluca and Manea, Florin and
Pauly, Arno (eds.), Beyond the Horizon of Computability, Springer International Publishing, Cham, 2020, pages 50-62
Konečný, Michal and Steinberg, Florian and Thies, Holger, Computable analysis for verified exact real computation, in: 40th IARCS Annual Conference on Foundations of Software
Technology and Theoretical Computer Science, vol. 182 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2020, page Art. No. 50, 18
Konečný, Michal and Steinberg, Florian and Thies, Holger, Continuous and Monotone Machines, in: Esparza, Javier and Král', Daniel (eds.), 45th International Symposium on Mathematical Foundations of Computer
Science (MFCS 2020), vol. 170 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl-Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2020, pages 56:1-56:16
Kristiansen, Lars and Simonsen, Jakob Grue, On the Complexity of Conversion Between Classic Real Number Representations, in: Anselmo, Marcella and Della Vedova, Gianluca and Manea, Florin and
Pauly, Arno (eds.), Beyond the Horizon of Computability, Springer International Publishing, Cham, 2020, pages 75-86
Kumabe, Masahiro and Miyabe, Kenshi and Mizusawa, Yuki and Suzuki,
Toshio, Solovay reducibility and continuity, Journal of Logic and Analysis12 (2020) Paper No. 2, 22
Lim, Donghyun and Ziegler, Martin, Quantitative Coding and Complexity Theory of Compact Metric Spaces, in: Anselmo, Marcella and Della Vedova, Gianluca and Manea, Florin and
Pauly, Arno (eds.), Beyond the Horizon of Computability, Springer International Publishing, Cham, 2020, pages 205-214
Merkle, Wolfgang and Titov, Ivan, Speedable Left-c.e. Numbers, in: Henning Fernau (ed.), Computer Science - Theory and Applications - 15th International Computer
Science Symposium in Russia, CSR 2020, Yekaterinburg, Russia, June
29 - July 3, 2020, Proceedings, vol. 12159 of Lecture Notes in Computer Science, Springer, 2020, pages 303-313
Monin, Benoit, Higher randomness, in: Franklin, Johanna N.Y. and Porter, Christopher P. (eds.), Algorithmic Randomness: Progress and Prospects, vol. 50 of Lecture Notes in Logic, Cambridge University Press, 2020, pages 232-300
Nandakumar, Satyadev and Vishnoi, Prateek, Randomness and Effective Dimension of Continued Fractions, in: Esparza, Javier and Král', Daniel (eds.), 45th International Symposium on Mathematical Foundations of Computer
Science (MFCS 2020), vol. 170 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl-Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2020, pages 73:1-73:13
Nies, André and Stephan, Frank, Randomness and Initial Segment Complexity for Probability Measures, in: Paul, Christophe and Bläser, Markus (eds.), 37th International Symposium on Theoretical Aspects of Computer Science
(STACS 2020), vol. 154 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl-Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2020, pages 55:1-55:14
Pauly, Arno and Seon, Dongseong and Ziegler, Martin, Computing Haar measures, in: Fernández, Maribel and Muscholl, Anca (eds.), 28th EACSL Annual Conference on Computer Science Logic, vol. 152 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl-Leibniz-Zentrum für Informatik, Dagstuhl, 2020, pages 34:1-34:17
Petrakis, Iosif, Functions of Baire Class One over a Bishop Topology, in: Anselmo, Marcella and Della Vedova, Gianluca and Manea, Florin and
Pauly, Arno (eds.), Beyond the Horizon of Computability, Springer International Publishing, Cham, 2020, pages 215-227
Porter, Christopher P., Biased algorithmic randomness, in: Franklin, Johanna N.Y. and Porter, Christopher P. (eds.), Algorithmic Randomness: Progress and Prospects, vol. 50 of Lecture Notes in Logic, Cambridge University Press, 2020, pages 206-231
Rute, Jason, Algorithmic randomness and constructive/computable measure theory, in: Franklin, Johanna N.Y. and Porter, Christopher P. (eds.), Algorithmic Randomness: Progress and Prospects, vol. 50 of Lecture Notes in Logic, Cambridge University Press, 2020, pages 58-114
Selivanov, Victor, Well-quasi orders and hierarchy theory, in: Well-quasi orders in computation, logic, language and reasoning–a
unifying concept of proof theory, automata theory, formal languages
and descriptive set theory, vol. 53 of Trends Log. Stud. Log. Libr., Springer, Cham, 2020, pages 271-319
Stull, Donald M., Resource bounded randomness and its applications, in: Franklin, Johanna N.Y. and Porter, Christopher P. (eds.), Algorithmic Randomness: Progress and Prospects, vol. 50 of Lecture Notes in Logic, Cambridge University Press, 2020, pages 301-348
Towsner, Henry, Algorithmic randomness in ergodic theory, in: Franklin, Johanna N.Y. and Porter, Christopher P. (eds.), Algorithmic Randomness: Progress and Prospects, vol. 50 of Lecture Notes in Logic, Cambridge University Press, 2020, pages 40-57
van der Lugt, Tein, Indeterministic finite-precision physics and intuitionistic mathematics, PhD thesis, Department of Mathematics, Radboud University Nijmegen, 2020
Ambos-Spies, Klaus and Zheng, Xizhong, On the Differences and Sums of Strongly Computably Enumerable Real
Numbers, in: Manea, Florin and Martin, Barnaby and Paulusma, Daniël and Primiero,
Giuseppe (eds.), Computing with Foresight and Industry, vol. 11558 of LNCS, Springer, Cham, 2019, pages 310-322
Bauer, Andrej and Swan, Andrew, Every metric space is separable in function realizability, Logical Methods in Computer Science15:2 (2019) Paper No. 14, 7
Bournez, Olivier and Durand, Arnaud, Recursion schemes, discrete differential equations and characterization
of polynomial time computations, in: 44th International Symposium on Mathematical Foundations
of Computer Science, vol. 138 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2019, page Art. No. 23, 14
Farjudian, Amin, Computable Analysis of Linear Rearrangement Optimization, in: Gopal, T.V. and Watada, Junzo (eds.), Theory and Applications of Models of Computation, vol. 11436 of Lecture Notes in Computer Science, Springer, Cham, 2019, pages 172-187
Hirst, Jeffry L. and Mummert, Carl, Using Ramsey's theorem once, Archive for Mathematical Logic58:7-8 (2019) 857-866
Hirvonen, Asa and Kontinen, Juha and Pauly, Arno, Continuous Team Semantics, in: Gopal, T.V. and Watada, Junzo (eds.), Theory and Applications of Models of Computation, vol. 11436 of Lecture Notes in Computer Science, Springer, Cham, 2019, pages 262-278
Hoyrup, Mathieu and Rojas, Cristóbal and Selivanov, Victor and
Stull, Donald M., Computability on quasi-Polish spaces, in: Descriptional complexity of formal systems, vol. 11612 of LNCS, Springer, Cham, 2019, pages 171-183
Hoyrup, Mathieu and Stull, Donald M., Semicomputable Points in Euclidean Spaces, in: Rossmanith, Peter and Heggernes, Pinar and Katoen, Joost-Pieter (eds.), 44th International Symposium on Mathematical Foundations of Computer
Science (MFCS 2019), vol. 138 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik, Dagstuhl, Germany, 2019, pages 48:1-48:13
Kapron, Bruce M. and Steinberg, Florian, Type-two iteration with bounded query revision, in: Proceedings Third Joint Workshop on Developments in Implicit
Computational complExity and Foundational & Practical Aspects
of Resource Analysis, vol. 298 of Electronic Proceedings of Theoretical Computer Science, EPTCS, 2019, pages 61-73
Kawamura, Akitoshi and Steinberg, Florian and Thies, Holger, Second-Order Linear-Time Computability with Applications to Computable
Analysis, in: Gopal, T.V. and Watada, Junzo (eds.), Theory and Applications of Models of Computation, vol. 11436 of Lecture Notes in Computer Science, Springer, Cham, 2019, pages 337-358
Kihara, Takayuki and Pauly, Arno, Finite choice, convex choice and sorting, in: Gopal, T.V. and Watada, Junzo (eds.), Theory and applications of models of computation, vol. 11436 of Lecture Notes in Computer Science, Springer, Cham, 2019, pages 378-393
McKubre-Jordens, Maarten and Wilson, Phillip L., Infinity in Computable Probability, Journal of Applied Logics - IfCoLog Journal of Logics and their
Applications6:7 (2019) 1253-1261
McNicholl, Timothy H. and Stull, Donald M., The isometry degree of a computable copy of ℓ^p1, Computability8:2 (2019) 179-189
Miyabe, Kenshi, Uniform Relativization, in: Manea, Florin and Martin, Barnaby and Paulusma, Daniël and Primiero,
Giuseppe (eds.), Computing with Foresight and Industry, vol. 11558 of LNCS, Springer, Cham, 2019, pages 50-61
Miyabe, Kenshi, Muchnik degrees and Medvedev degrees of randomness notions, in: Proceedings of the 14th and 15th Asian Logic Conferences, World Sci. Publ., Hackensack, NJ, 2019, pages 108-128
Petrakis, Iosif, Borel and Baire Sets in Bishop Spaces, in: Manea, Florin and Martin, Barnaby and Paulusma, Daniël and Primiero,
Giuseppe (eds.), Computing with Foresight and Industry, vol. 11558 of LNCS, Springer, Cham, 2019, pages 240-252
Petrakis, Iosif, Constructive uniformities of pseudometrics and Bishop topologies, Journal of Logic and Analysis11 (2019) Paper No. FT2, 44
Poças, Diogo and Zucker, Jeffery, Approximability in the GPAC, Logical Methods in Computer Science15:3 (2019) Paper No. 24, 24
Sanders, Sam, Nets and Reverse Mathematics, in: Manea, Florin and Martin, Barnaby and Paulusma, Daniël and Primiero,
Giuseppe (eds.), Computing with Foresight and Industry, vol. 11558 of LNCS, Springer, Cham, 2019, pages 253-264
Steinberg, Florian and Théry, Laurent and Thies, Holger, Quantitative continuity and computable analysis in Coq, in: 10th International Conference on Interactive Theorem Proving, vol. 141 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2019, page Art. No. 28, 21
Vidick, Thomas, From operator algebras to complexity theory and back, Notices of the American Mathematical Society66:10 (2019) 1618-1627
Cenzer, Douglas and Rojas, Diego A., Online Computability and Differentiation in the Cantor Space, in: Manea, Florin and Miller, Russell G. and Nowotka, Dirk (eds.), Sailing Routes in the World of Computation, Springer, Cham, 2018, pages 136-145
Diener, Hannes and Hendtlass, Matthew, Bishop's lemma, Mathematical Logic Quarterly64:1-2 (2018) 49-54
Diener, Hannes and Lubarsky, Robert, Notions of Cauchyness and metastability, in: Logical foundations of computer science, vol. 10703 of Lecture Notes in Comput. Sci., Springer, Cham, 2018, pages 140-153
Edalat, Abbas and Maleki, Mehrdad, Differential calculus with imprecise input and its logical framework, in: Foundations of software science and computation structures, vol. 10803 of Lecture Notes in Comput. Sci., Springer, Cham, 2018, pages 459-475
Galicki, Aleksander, Computable Randomness and Differentiability in R^n, PhD thesis, Department of Computer Science, University of Auckland, 2018
Georgiev, Ivan and Kristiansen, Lars and Stephan, Frank, On General Sum Approximations of Irrational Numbers, in: Manea, Florin and Miller, Russell G. and Nowotka, Dirk (eds.), Sailing Routes in the World of Computation, Springer, Cham, 2018, pages 194-203
Hoyrup, Mathieu, Topological analysis of representations, in: Sailing routes in the world of computation, vol. 10936 of LNCS, Springer, Cham, 2018, pages 214-223
Hoyrup, Mathieu and Nava Saucedo, Diego and Stull, Don M., Semicomputable geometry, in: 45th International Colloquium on Automata, Languages, and
Programming, vol. 107 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., 2018, page Art. No. 129, 13
Kawamura, Akitoshi and Thies, Holger and Ziegler, Martin, Average-case polynomial-time computability of Hamiltonian dynamics, in: 43rd International Symposium on Mathematical Foundations
of Computer Science, vol. 117 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2018, page Art. No. 30, 17
Korovina, Margarita and Kudinov, Oleg, Weak Reduction Principle and Computable Metric Spaces, in: Manea, Florin and Miller, Russell G. and Nowotka, Dirk (eds.), Sailing Routes in the World of Computation, Springer, Cham, 2018, pages 234-243
Lutz, Neil and Stull, Donald M., Projection theorems using effective dimension, in: Potapov, Igor and Spirakis, Paul and Worrell, James (eds.), 43rd International Symposium on Mathematical Foundations
of Computer Science, vol. 117 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2018, page Art. No. 71, 15
Nobrega, Hugo, Games for functions - Baire classes, Weihrauch degrees, Transfinite
Computations, and Ranks, PhD thesis, Institute for Logic, Language and Computation, Universiteit van Amsterdam, 2018
Pauly, Arno, Enumeration Degrees and Topology, in: Manea, Florin and Miller, Russell G. and Nowotka, Dirk (eds.), Sailing Routes in the World of Computation, Springer, Cham, 2018, pages 328-337
Stull, Donald M., Results on the Dimension Spectra of Planar Lines, in: Potapov, Igor and Spirakis, Paul and Worrell, James (eds.), 43rd International Symposium on Mathematical Foundations of Computer
Science (MFCS 2018), vol. 117 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik, Dagstuhl, Germany, 2018, pages 79:1-79:15
Thies, Holger, Uniform computational complexity of ordinary differential equations
with applications to dynamical systems and exact real arithmetic, PhD thesis, Graduate School of Arts and Sciences, University of Tokyo, Tokyo, Japan, 2018
Whyman, Richard, Physical computation and first-order logic, in: Durand-Lose, Jérôme and Verlan, Sergey (eds.), Machines, Computations, and Universality, vol. 10881 of Lecture Notes in Computer Science, Springer, 2018, pages 153-169
Whyman, Richard Arthur James, Characterising Computational Devices with Logical Systems, PhD thesis, School of Mathematics, University of Leeds, 2018
2017
Ackerman, Nathanael L. and Freer, Cameron E. and Roy, Daniel M., On computability and disintegration, Mathematical Structures in Computer Science27:8 (2017) 1287-1314
Ambaram, Tânia and Beggs, Edwin and Costa, José Félix
and Poças, Diogo and Tucker, John V, An analogue-digital model of computation: Turing machines with
physical oracles, in: Advances in Unconventional Computing, Springer, 2017, pages 73-115
Barmpalias, George and Lewis-Pye, Andrew, A Note on the Differences of Computably Enumerable Reals, in: Day, Adam and Fellows, Michael and Greenberg, Noam and Khoussainov,
Bakhadyr and Melnikov, Alexander and Rosamond, Frances (eds.), Computability and Complexity: Essays Dedicated to Rodney G. Downey
on the Occasion of His 60th Birthday, vol. 10010 of Lecture Notes in Computer Science, Springer, Cham, 2017, pages 623-632
Bienvenu, Laurent and Kuyper, Rutger, Parallel and serial jumps of Weak Weak König's Lemma, in: Day, Adam and Fellows, Michael and Greenberg, Noam and Khoussainov,
Bakhadyr and Melnikov, Alexander and Rosamond, Frances (eds.), Computability and Complexity: Essays Dedicated to Rodney G. Downey
on the Occasion of His 60th Birthday, vol. 10010 of Lecture Notes in Computer Science, Springer, Cham, 2017, pages 201-217
Bournez, Olivier and Pouly, Amaury, A universal ordinary differential equation, in: Chatzigiannakis, Ioannis and Indyk, Piotr and Kuhn, Fabian and Muscholl,
Anca (eds.), 44th International Colloquium on Automata, Languages, and
Programming, vol. 80 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Dagstuhl, Germany, 2017, page Art. No. 116, 14
Brattka, Vasco and Gherardi, Guido and Hölzl, Rupert and Pauly,
Arno, The Vitali Covering Theorem in the Weihrauch Lattice, in: Day, Adam and Fellows, Michael and Greenberg, Noam and Khoussainov,
Bakhadyr and Melnikov, Alexander and Rosamond, Frances (eds.), Computability and Complexity: Essays Dedicated to Rodney G. Downey
on the Occasion of His 60th Birthday, vol. 10010 of Lecture Notes in Computer Science, Springer, Cham, 2017, pages 188-200
Brattka, Vasco and Hölzl, Rupert and Kuyper, Rutger, Monte Carlo Computability, in: Vollmer, Heribert and Vallée, Brigitte (eds.), 34th Symposium on Theoretical Aspects of Computer Science (STACS
2017), vol. 66 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik, Dagstuhl, Germany, 2017, pages 17:1-17:14
Chakraborty, Diptarka and Nandakumar, Satyadev and Shukla, Himanshu, On resource-bounded versions of the van Lambalgen theorem, in: Theory and applications of models of computation, vol. 10185 of Lecture Notes in Comput. Sci., Springer, Cham, 2017, pages 129-143
Edalat, Abbas and Maleki, Mehrdad, Differentiation in logical form, in: 2017 32nd Annual ACM/IEEE Symposium on Logic in Computer
Science (LICS), IEEE, Piscataway, NJ, 2017, page 12
Férée, Hugo, Game semantics approach to higher-order complexity, Journal of Computer and System Sciences87 (2017) 1-15
Galeotti, Lorenzo and Nobrega, Hugo, Towards Computable Analysis on the Generalized Real Line, in: Kari, Jarkko and Manea, Florin and Petre, Ion (eds.), Unveiling Dynamics and Complexity, vol. 10307 of Lecture Notes in Computer Science, Springer, Cham, 2017, pages 246-257
Galicki, Alex, Polynomial-time Rademacher theorem, porosity and randomness, in: Chatzigiannakis, Ioannis and Indyk, Piotr and Kuhn, Fabian and Muscholl,
Anca (eds.), 44th International Colloquium on Automata, Languages, and
Programming, vol. 80 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2017, page Art. No. 30, 13
Hansen, Anders C. and Nevanlinna, Olavi, Complexity issues in computing spectra, pseudospectra and resolvents, in: Études opératorielles, vol. 112 of Banach Center Publ., Polish Acad. Sci. Inst. Math., Warsaw, 2017, pages 171-194
Hirschfeldt, Denis R., Some Questions in Computable Mathematics, in: Day, Adam and Fellows, Michael and Greenberg, Noam and Khoussainov,
Bakhadyr and Melnikov, Alexander and Rosamond, Frances (eds.), Computability and Complexity: Essays Dedicated to Rodney G. Downey
on the Occasion of His 60th Birthday, vol. 10010 of Lecture Notes in Computer Science, Springer, Cham, 2017, pages 22-55
Hirst, Jeffry L. and Mummert, Carl, Reverse Mathematics of Matroids, in: Day, Adam and Fellows, Michael and Greenberg, Noam and Khoussainov,
Bakhadyr and Melnikov, Alexander and Rosamond, Frances (eds.), Computability and Complexity: Essays Dedicated to Rodney G. Downey
on the Occasion of His 60th Birthday, vol. 10010 of Lecture Notes in Computer Science, Springer, Cham, 2017, pages 143-159
Hoyrup, Mathieu and Gomaa, Walid, On the extension of computable real functions, in: 2017 32nd Annual ACM/IEEE Symposium on Logic in Computer
Science (LICS), IEEE, Piscataway, NJ, 2017, page 12
Huang, Xiang and Klinge, Titus H and Lathrop, James I and Li, Xiaoyuan
and Lutz, Jack H, Real-Time Computability of Real Numbers by Chemical Reaction Networks, in: International Conference on Unconventional Computation and Natural
Computation, 2017, pages 29-40
Kawamura, Akitoshi and Steinberg, Florian, Polynomial running times for polynomial-time oracle machines, in: 2nd International Conference on Formal Structures for Computation
and Deduction, vol. 84 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2017, page Art. No. 23, 18
Korovina, Margarita and Kudinov, Oleg, On Higher Effective Descriptive Set Theory, in: Kari, Jarkko and Manea, Florin and Petre, Ion (eds.), Unveiling Dynamics and Complexity, vol. 10307 of Lecture Notes in Computer Science, Springer, Cham, 2017, pages 282-291
Korovina, Margarita and Kudinov, Oleg, Outline of Partial Computability in Computable Topology, in: Kari, Jarkko and Manea, Florin and Petre, Ion (eds.), Unveiling Dynamics and Complexity, vol. 10307 of Lecture Notes in Computer Science, Springer, Cham, 2017, pages 64-76
Korovina, Margarita and Kudinov, Oleg, The Rice-Shapiro theorem in computable topology, Logical Methods in Computer Science13:4 (2017) Paper No. 30, 13
Kreinovich, Vladik, Why some physicists are excited about the undecidability of the spectral
gap problem and why should we, Bulletin of the EATCS122 (2017) 100-113
Le Roux, Stéphane and Pauly, Arno and Raskin, Jean-François, Minkowski Games, in: Vollmer, Heribert and Vallée, Brigitte (eds.), 34th Symposium on Theoretical Aspects of Computer Science (STACS
2017), vol. 66 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik, Dagstuhl, Germany, 2017, pages 50:1-50:13
Lutz, Jack H. and Lutz, Neil, Algorithmic Information, Plane Kakeya Sets, and Conditional Dimension, in: Vollmer, Heribert and Vallée, Brigitte (eds.), 34th Symposium on Theoretical Aspects of Computer Science (STACS
2017), vol. 66 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik, Dagstuhl, Germany, 2017, pages 53:1-53:13
Lutz, Neil, Fractal intersections and products via algorithmic dimension, in: Larsen, Kim G. and Bodlaender, Hans L. and Raskin, Jean-François (eds.), 42nd International Symposium on Mathematical Foundations
of Computer Science, vol. 83 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2017, page Art. No. 58, 12
Lutz, Neil and Stull, D. M., Bounding the dimension of points on a line, in: Gopal, T.V. and Jäger , Gerhard and Steila, Silvia (eds.), Theory and applications of models of computation, vol. 10185 of Lecture Notes in Computer Science, Springer, Cham, 2017, pages 425-439
Lutz, Neil and Stull, D. M., Bounding the dimension of points on a line, in: Gopal, T. V. and Jäger, Gerhard and Steila, Silvia (eds.), Theory and Applications of Models of Computation, vol. 10185 of Lecture Notes in Computer Science, Springer, Cham, 2017, pages 425-439
Lutz, Neil and Stull, D.M., Dimension Spectra of Lines, in: Kari, Jarkko and Manea, Florin and Petre, Ion (eds.), Unveiling Dynamics and Complexity, vol. 10307 of Lecture Notes in Computer Science, Springer, Cham, 2017, pages 304-314
Miller, Joseph S., On Work of Barmpalias and Lewis-Pye: A Derivation on the D.C.E.
Reals, in: Day, Adam and Fellows, Michael and Greenberg, Noam and Khoussainov,
Bakhadyr and Melnikov, Alexander and Rosamond, Frances (eds.), Computability and Complexity: Essays Dedicated to Rodney G. Downey
on the Occasion of His 60th Birthday, vol. 10010 of Lecture Notes in Computer Science, Springer, Cham, 2017, pages 644-659
Morozov, Andrey S., Computable Model Theory over the Reals, in: Day, Adam and Fellows, Michael and Greenberg, Noam and Khoussainov,
Bakhadyr and Melnikov, Alexander and Rosamond, Frances (eds.), Computability and Complexity: Essays Dedicated to Rodney G. Downey
on the Occasion of His 60th Birthday, vol. 10010 of Lecture Notes in Computer Science, Springer, Cham, 2017, pages 354-365
Nies, André, Lowness, Randomness, and Computable Analysis, in: Day, Adam and Fellows, Michael and Greenberg, Noam and Khoussainov,
Bakhadyr and Melnikov, Alexander and Rosamond, Frances (eds.), Computability and Complexity: Essays Dedicated to Rodney G. Downey
on the Occasion of His 60th Birthday, vol. 10010 of Lecture Notes in Computer Science, Springer, Cham, 2017, pages 738-754
Nobrega, Hugo and Pauly, Arno, Game Characterizations and Lower Cones in the Weihrauch Degrees, in: Kari, Jarkko and Manea, Florin and Petre, Ion (eds.), Unveiling Dynamics and Complexity, vol. 10307 of Lecture Notes in Computer Science, Springer, Cham, 2017, pages 327-337
Petrakis, Iosif, McShane-Whitney Pairs, in: Kari, Jarkko and Manea, Florin and Petre, Ion (eds.), Unveiling Dynamics and Complexity, vol. 10307 of Lecture Notes in Computer Science, Springer, Cham, 2017, pages 351-363
Petrakis, Iosif, A density theorem for hierarchies of limit spaces over separable
metric spaces, in: Theory and applications of models of computation, vol. 10185 of Lecture Notes in Comput. Sci., Springer, Cham, 2017, pages 484-498
Porter, Michelle and Day, Adam and Downey, Rodney, Notes on computable analysis, Theory of Computing Systems60:1 (2017) 53-111
Sanders, Sam, From nonstandard analysis to various flavours of computability theory, in: Theory and applications of models of computation, vol. 10185 of LNCS, Springer, Cham, 2017, pages 556-570
Selivanov, Victor L., Extending Wadge Theory to k-Partitions, in: Kari, Jarkko and Manea, Florin and Petre, Ion (eds.), Unveiling Dynamics and Complexity, vol. 10307 of Lecture Notes in Computer Science, Springer, Cham, 2017, pages 387-399
Berger, Ulrich and Miyamoto, Kenji and Schwichtenberg, Helmut and
Tsuiki, Hideki, Logic for Gray-code computation, in: Concepts of proof in mathematics, philosophy, and computer science, vol. 6 of Ontos Math. Log., De Gruyter, Berlin, 2016, pages 69-110
Berger, Ulrich and Spreen, Dieter, A coinductive approach to computing with compact sets, Journal of Logic and Analysis8 (2016) Paper No. 3, 35
Bournez, Olivier and Dershowitz, Nachum and Néron, Pierre, Axiomatizing Analog Algorithms, in: Beckmann, Arnold and Bienvenu, Laurent and Jonoska, Nataša (eds.), Pursuit of the Universal, vol. 9709 of LNCS, Springer, Switzerland, 2016, pages 215-224
Bournez, Olivier and Graça, Daniel S. and Pouly, Amaury, Polynomial time corresponds to solutions of polynomial ordinary differential
equations of polynomial length: the general purpose analog computer
and computable analysis are two efficiently equivalent models of
computations, in: Chatzigiannakis, Ioannis and Mitzenmacher, Michael and Rabani, Yuval
and Sangiorgi, Davide (eds.), 43rd International Colloquium on Automata, Languages, and
Programming, vol. 55 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Dagstuhl, Germany, 2016, page Art. No. 109, 15
Brattka, Vasco, Computability and Analysis, a Historical Approach, in: Beckmann, Arnold and Bienvenu, Laurent and Jonoska, Nataša (eds.), Pursuit of the Universal, vol. 9709 of LNCS, Springer, Switzerland, 2016, pages 45-57
Brattka, Vasco and Le Roux, Stéphane and Miller, Joseph S. and
Pauly, Arno, The Brouwer Fixed Point Theorem Revisited, in: Beckmann, Arnold and Bienvenu, Laurent and Jonoska, Nataša (eds.), Pursuit of the Universal, vol. 9709 of LNCS, Springer, Switzerland, 2016, pages 58-67
Brauße, Franz and Korovina, Margarita and Müller, Norbert, Using Taylor models in exact real arithmetic, in: Kotsireas, Ilias S. and Rump, Siegfried M. and Yap, Chee K. (eds.), Mathematical aspects of computer and information sciences, vol. 9582 of LNCS, Springer, Cham, 2016, pages 474-488
Bridges, Douglas S., The continuum hypothesis implies excluded middle, in: Concepts of proof in mathematics, philosophy, and computer science, vol. 6 of Ontos Math. Log., De Gruyter, Berlin, 2016, pages 111-114
Bridges, Douglas S. and Dent, James and McKubre-Jordens, Maarten, Z-stability in Constructive Analysis, Logical Methods in Computer Science12:3 (2016)
Bridges, Douglas S. and Hendtlass, Matthew and Palmgren, Erik, A constructive examination of rectifiability, Journal of Logic and Analysis8 (2016) Paper No. 4, 17
Callejas Olguín, Claudio Andrés, A topological and domain theoretical study of total computable functions, PhD thesis, Federal University of Rio Grande do Norte, 2016
Férée, Hugo and Ziegler, Martin, On the computational complexity of positive linear functionals on
C[0;1], in: Kotsireas, Ilias S. and Rump, Siegfried M. and Yap, Chee K. (eds.), Mathematical Aspects of Computer and Information Sciences, vol. 9582 of LNCS, Springer, Cham, 2016, pages 489-504
Galeotti, Lorenzo, A Candidate for the Generalised Real Line, in: Beckmann, Arnold and Bienvenu, Laurent and Jonoska, Nataša (eds.), Pursuit of the Universal, vol. 9709 of LNCS, Springer, Switzerland, 2016, pages 271-281
Galicki, Aleksander and Nies, André, A Computational Approach to the Borwein-Ditor Theorem, in: Beckmann, Arnold and Bienvenu, Laurent and Jonoska, Nataša (eds.), Pursuit of the Universal, vol. 9709 of LNCS, Springer, Switzerland, 2016, pages 99-104
Graça, Daniel S., Calculability of the asymptotic behavior of dynamical systems, Boletim da Sociedade Portuguesa de Matemática :Special issue (2016) 95-98
Hoyrup, Mathieu, The Typical Constructible Object, in: Beckmann, Arnold and Bienvenu, Laurent and Jonoska, Nataša (eds.), Pursuit of the Universal, vol. 9709 of LNCS, Springer, Switzerland, 2016, pages 115-123
Hoyrup, Mathieu, The decidable properties of subrecursive functions, in: 43rd International Colloquium on Automata, Languages, and
Programming, vol. 55 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2016, page Art. No. 108, 13
Huang, Xiang and Stull, Donald M., Polynomial Space Randomness in Analysis, in: Faliszewski, Piotr and Muscholl, Anca and Niedermeier, Rolf (eds.), 41st International Symposium on Mathematical Foundations of Computer
Science (MFCS 2016), vol. 58 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik, Dagstuhl, Germany, 2016, pages 86:1-86:13
Kawamura, Akitoshi and Steinberg, Florian and Ziegler, Martin, Complexity theory of (functions on) compact metric spaces, in: Proceedings of the 31st Annual ACM-IEEE Symposium on Logic
in Computer Science (LICS 2016), ACM, New York, 2016, page 10
Kihara, Takayuki and Pauly, Arno, Dividing by Zero - How Bad Is It, Really?, in: Faliszewski, Piotr and Muscholl, Anca and Niedermeier, Rolf (eds.), 41st International Symposium on Mathematical Foundations of Computer
Science (MFCS 2016), vol. 58 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik, Dagstuhl, Germany, 2016, pages 58:1-58:14
Kihara, Takayuki and Pauly, Arno, Dividing by zero–how bad is it, really?, in: 41st International Symposium on Mathematical Foundations
of Computer Science, vol. 58 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2016, page Art. No. 58, 14
Kudinov, Oleg V. and Selivanov, Victor L., On the Lattices of Effectively Open Sets, in: Beckmann, Arnold and Bienvenu, Laurent and Jonoska, Nataša (eds.), Pursuit of the Universal, vol. 9709 of LNCS, Springer, Switzerland, 2016, pages 302-311
Macintyre, Angus, Turing meets Schanuel, Annals of Pure and Applied Logic167:10 (2016) 901-938
Petrakis, Iosif, A constructive function-theoretic approach to topological compactness, in: Proceedings of the 31st Annual ACM-IEEE Symposium on Logic
in Computer Science (LICS 2016), ACM, New York, 2016, page 10
Petrakis, Iosif, The Urysohn extension theorem for Bishop spaces, in: Logical foundations of computer science, vol. 9537 of Lecture Notes in Comput. Sci., Springer, Cham, 2016, pages 299-316
Poças, Diogo and Zucker, Jeffery, Fixed point techniques in analog systems, in: Bélair, Jacques and Frigaard, Ian A. and Kunze, Herb and Makarov,
Roman and Melnik, Roderick and Spiteri, Raymond J. (eds.), Mathematical and Computational Approaches in Advancing Modern Science
and Engineering, Springer, Cham, 2016, pages 701-711
Sanders, Sam, The computational content of nonstandard analysis, in: Proceedings Sixth International Workshop on Classical Logic
and Computation, vol. 213 of Electron. Proc. Theor. Comput. Sci. (EPTCS), EPTCS, 2016, pages 24-40
Schröder, Matthias and Steinberg, Florian and Ziegler, Martin, Average-case bit-complexity theory of real functions, in: Kotsireas, Ilias S. and Rump, Siegfried M. and Yap, Chee K. (eds.), Mathematical aspects of computer and information sciences, vol. 9582 of LNCS, Springer, Cham, 2016, pages 505-519
Schröder, Matthias, The Coincidence Problem in Computable Analysis, Habilitation Thesis, Department of Mathematics, University of Darmstadt, Darmstadt, Germany, 2016
Solomon, Reed, Computable Reductions and Reverse Mathematics, in: Beckmann, Arnold and Bienvenu, Laurent and Jonoska, Nataša (eds.), Pursuit of the Universal, vol. 9709 of LNCS, Springer, Switzerland, 2016, pages 182-191
Brattka, Vasco and Gherardi, Guido and Hölzl, Rupert, Las Vegas Computability and Algorithmic Randomness, in: Mayr, Ernst W. and Ollinger, Nicolas (eds.), 32nd International Symposium on Theoretical Aspects of Computer Science
(STACS 2015), vol. 30 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl-Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2015, pages 130-142
Braverman, Mark and Schneider, Jonathan and Rojas, Cristóbal, Space-bounded Church-Turing thesis and computational tractability
of closed systems, Physical review letters115:9 (2015) 098701
de Brecht, Matthew and Schröder, Matthias and Selivanov, Victor, Base-Complexity Classification of QCB_0-Spaces (Extended Abstract), in: Beckmann, Arnold and Mitrana, Victor and Soskova, Mariya (eds.), Evolving Computability, vol. 9136 of LNCS, Springer, Cham, 2015, pages 156-166
Edalat, Abbas, Extensions of domain maps in differential and integral calculus, in: 2015 30th Annual ACM/IEEE Symposium on Logic in Computer
Science (LICS 2015), IEEE Computer Soc., Los Alamitos, CA, 2015, pages 426-437
Fujiwara, Makoto, Intuitionistic and uniform provability in reverse mathematics, PhD thesis, Tohoku University, Sendai, Japan, 2015
Fujiwara, Makoto and Ishihara, Hajime and Nemoto, Takako, Some principles weaker than Markov's principle, Archive for Mathematical Logic54:7-8 (2015) 861-870
Férée, Hugo and Hainry, Emmanuel and Hoyrup, Mathieu and
Péchoux, Romain, Characterizing polynomial time complexity of stream programs using
interpretations, Theoretical Computer Science585 (2015) 41-54
Galicki, Alex, Randomness and Differentiability of Convex Functions, in: Beckmann, Arnold and Mitrana, Victor and Soskova, Mariya (eds.), Evolving Computability, vol. 9136 of LNCS, Springer, Cham, 2015, pages 196-205
Hirschfeldt, Denis R., Slicing the Truth: On the Computable and Reverse Mathematics of Combinatorial
Principles, vol. 28 of Lecture Notes Series, Institute for Mathematical Sciences, National
University of Singapore, World Scientific, Singapore, 2015
Hoyrup, Mathieu and Rojas, Cristóbal, On the Information Carried by Programs about the Objects They Compute, in: Mayr, Ernst W. and Ollinger, Nicolas (eds.), 32nd International Symposium on Theoretical Aspects of Computer Science
(STACS 2015), vol. 30 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl-Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2015, pages 447-459
Kohlenbach, Ulrich, On the Disjunctive Markov Principle, Studia Logica103:6 (2015) 1313-1317
Korovina, Margarita and Kudinov, Oleg, Rice's Theorem in Effectively Enumerable Topological Spaces, in: Beckmann, Arnold and Mitrana, Victor and Soskova, Mariya (eds.), Evolving Computability, vol. 9136 of LNCS, Springer, Cham, 2015, pages 226-235
Korovina, Margarita and Kudinov, Oleg, Index sets as a measure of continuous constraint complexity, in: Voronkov, Andrei and Virbitskaite, Irina (eds.), Perspectives of system informatics, vol. 8974 of LNCS, Springer, Heidelberg, 2015, pages 201-215
Maler, Adrian, Effective Theory of Lévy and Feller Processes, PhD thesis, The Pennsylvania State University, 2015
McNicholl, Timothy H., A Note on the Computable Categoricity of ℓ^p Spaces, in: Beckmann, Arnold and Mitrana, Victor and Soskova, Mariya (eds.), Evolving Computability, vol. 9136 of LNCS, Springer, Cham, 2015, pages 268-275
Pequignot, Yann, Better-quasi-order: ideals and spaces, PhD thesis, University of Lausanne and University Paris 7, 2015
Petrakis, Iosif, Completely Regular Bishop Spaces, in: Beckmann, Arnold and Mitrana, Victor and Soskova, Mariya (eds.), Evolving Computability, vol. 9136 of LNCS, Springer, Cham, 2015, pages 302-312
Pourmahdian, Masoud and Tavana, Nazanin R. and Didehvar, Farzad, Effective metric model theory, Mathematical Structures in Computer Science25 (2015) 1779-1798
Rakotoniaina, Tahina, On the Computational Strength of Ramsey's Theorem, Ph.D. thesis, Department of Mathematics and Applied Mathematics, University of
Cape Town, Rondebosch, South Africa, 2015
Reimann, Jan and Slaman, Theodore A., Measures and their random reals, Transactions American Mathematical Society367:7 (2015) 5081-5097
Selivanov, Victor, Towards the Effective Descriptive Set Theory, in: Beckmann, Arnold and Mitrana, Victor and Soskova, Mariya (eds.), Evolving Computability, vol. 9136 of LNCS, Springer, Cham, 2015, pages 324-333
Sun, Shu Ming and Zhong, Ning and Ziegler, Martin, On Computability of Navier-Stokes' Equation, in: Beckmann, Arnold and Mitrana, Victor and Soskova, Mariya (eds.), Evolving Computability, vol. 9136 of LNCS, Springer, Cham, 2015, pages 334-342
Tucker, J. V. and Zucker, J. I., Generalizing computability theory to abstract algebras, in: Sommaruga, Giovanni and Strahm, Thomas (eds.), Turing's Revolution, Birkhäuser/Springer, Cham, 2015, pages 127-160
Avigad, Jeremy and Brattka, Vasco, Computability and analysis: the legacy of Alan Turing, in: Downey, Rod (ed.), Turing's Legacy: Developments from Turing's Ideas in Logic, vol. 42 of LNL, Cambridge University Press, Cambridge, UK, 2014, pages 1-47
Brattka, Vasco and Diener, Hannes and Spreen, Dieter (eds.), Logic, Computation, Hierarchies, vol. 4 of Ontos Mathematical Logic, Walter de Gruyter, Boston, 2014
Bridges, Douglas S., Locating Ax, where A is a subspace of B(H), Log. Methods Comput. Sci. :The Ninth International Conference on Computability and Complexity
in Analysis (CCA) 2012 (2014) 2:9, 10
Bridges, Douglas S., Tightly bordered convex and co-convex sets, Sci. Math. Jpn.77:1 (2014) 45-57
Bridges, Douglas S., Tightly bordered convex and co-convex sets, Scientiae Mathematicae Japonicae77:1 (2014) 45-57
Bridges, Douglas S. and Dent, James and McKubre-Jordens, Maarten, Constructive connections between anti-Specker, positivity, and
fan-theoretic properties, New Zealand J. Math.44 (2014) 21-33
de Brecht, Matthew, Levels of Discontinuity, Limit-Computability, and Jump Operators, in: Brattka, Vasco and Diener, Hannes and Spreen, Dieter (eds.), Logic, Computation, Hierarchies, Ontos Mathematical Logic, Walter de Gruyter, Boston, 2014, pages 93-122
Fouché, Willem L., Diophantine properties of Brownian motion: recursive aspects, in: Brattka, Vasco and Diener, Hannes and Spreen, Dieter (eds.), Logic, Computation, Hierarchies, vol. 4 of Ontos Mathematical Logic, De Gruyter, Boston, 2014, pages 139-156
Fritz, Tobias and Netzer, Tim and Thom, Andreas, Can you compute the operator norm?, Proceedings of the American Mathematical Society142:12 (2014) 4265-4276
Hertling, Peter and Selivanov, Victor, Complexity issues for preorders on finite labeled forests, in: Brattka, Vasco and Diener, Hannes and Spreen, Dieter (eds.), Logic, Computation, Hierarchies, Ontos Mathematical Logic, Walter de Gruyter, Boston, 2014, pages 165-190
Hoyrup, Mathieu, Irreversible computable functions, in: Ernst W. Mayr and Natacha Portier (eds.), 31st International Symposium on Theoretical Aspects of Computer Science
(STACS 2014), vol. 25 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik, Dagstuhl, Germany, 2014, pages 362-373
Kawamura, Akitoshi and Ota, Hiroyuki, Small complexity classes for computable analysis, in: Mathematical foundations of computer science 2014. Part II, vol. 8635 of Lecture Notes in Comput. Sci., Springer, Heidelberg, 2014, pages 432-444
Kawamura, Akitoshi and Pauly, Arno, Function spaces for second-order polynomial time, in: Language, life, limits, vol. 8493 of Lecture Notes in Comput. Sci., Springer, Cham, 2014, pages 245-254
Kihara, Takayuki and Miyabe, Kenshi, Uniform Kurtz randomness, Journal of Logic and Computation24:4 (2014) 863-882
Manin, Yuri and Marcolli, Matilde, Kolmogorov complexity and the asymptotic bound for error-correcting
codes, Journal of Differential Geometry97:1 (2014) 91-108
Nies, André, Differentiability of polynomial time computable functions, in: Ernst W. Mayr and Natacha Portier (eds.), 31st International Symposium on Theoretical Aspects of Computer Science
(STACS 2014), vol. 25 of Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik, Dagstuhl, Germany, 2014, pages 602-613
Pauly, Arno and de Brecht, Matthew, Non-deterministic computation and the Jayne-Rogers Theorem, in: Löwe, Benedikt and Winskel, Glynn (eds.), Proceedings 8th International Workshop on Developments in Computational
Models, DCM 2012, Cambridge, United Kingdom, 17 June 2012., vol. 143 of EPTCS, 2014, pages 87-96
Schröder, Matthias and Selivanov, Victor, Hyperprojective hierarchy of qcb_0-spaces, in: Beckmann, Arnold and Csuhaj-Varjú, Erzsébet and Meer, Klaus (eds.), Language, life, limits, vol. 8493 of Lecture Notes in Comput. Sci., Springer, Cham, 2014, pages 352-361
Escardó, Martín and Pauly, Arno and Schröder, Matthias
and Weihrauch, Klaus (eds.), Special issue: Selected papers of the Ninth International Conference
on Computability and Complexity in Analysis (CCA) 2012, Held in Cambridge, June 24-27, 2012, LMCS, 2013/14
Ariza-Ruiz, David and Martol Briseid, Eyvind and Jiménez-Melado,
Antonio and López-Acedo, Genaro, Rate of convergence under weak contractiveness conditions, Fixed Point Theory14:1 (2013) 11-27
de Brecht, Matthew, Quasi-Polish spaces, Ann. Pure Appl. Logic164:3 (2013) 356-381
Di Gianantonio, Pietro and Edalat, Abbas, A Language for Differentiable Functions, in: Pfenning, Frank (ed.), Foundations of Software Science and Computation Structures (FoSSaCS'13), vol. 7794 of Lecture Notes in Computer Science, Springer, Berlin, 2013, pages 337-352
Férée, Hugo and Hoyrup, Mathieu and Gomaa, Walid, On the query complexity of real functionals, in: 2013 28th Annual ACM/IEEE Symposium on Logic in Computer
Science (LICS 2013), IEEE Computer Soc., Los Alamitos, CA, 2013, pages 103-112
Hendtlass, Matthew, Constructing fixed points and economic equilibria, Ph.D. thesis, Department of Pure Mathematics, University of Leeds, Leeds, UK, 2013
Jafarikhah, Tahereh and Weihrauch, Klaus, The Riesz representation operator on the dual of C[0;1] is
computable, Journal of Universal Computer Science19:6 (2013) 750-770
Krčál, Marek, Computational Homotopy Theory, PhD thesis, Charles University in Prague, 2013
Le Roux, Stéphane and Pauly, Arno, Closed Choice for Finite and for Convex Sets, in: Bonizzoni, Paola and Brattka, Vasco and Löwe, Benedikt (eds.), The Nature of Computation. Logic, Algorithms, Applications, vol. 7921 of LNCS, Springer, Berlin, 2013, pages 294-305
Lubarsky, Robert S. and Diener, Hannes, Separating the Fan Theorem and its weakenings, in: Logical foundations of computer science, vol. 7734 of Lecture Notes in Comput. Sci., Springer, Heidelberg, 2013, pages 280-295
Lubarsky, Robert S. and Diener, Hannes, Principles weaker than BD-N, The Journal of Symbolic Logic78:3 (2013) 873-885
Manin, Yuri I., Renormalization and computation I: motivation and background, in: OPERADS 2009, vol. 26 of Sémin. Congr., Soc. Math. France, Paris, 2013, pages 181-222
Pauly, Arno and Ziegler, Martin, Relative computability and uniform continuity of relations, Journal of Logic and Analysis5:7 (2013) 1-39
Pégny, Maël, Sur les limites empiriques du calcul - Calculabilité, complexité
et physique, PhD thesis, Université Paris 1 Panthéon-Sorbonne, Paris, France, 2013
Sanders, Sam, On the connection between nonstandard analysis and constructive analysis, Logique et Analyse56:222 (2013) 183-210
Sanders, Sam, On algorithm and robustness in a non-standard sense, in: New challenges to philosophy of science, vol. 4 of Philos. Sci. Eur. Perspect., Springer, Dordrecht, 2013, pages 99-112
Skordev, Dimiter, A simple characterization of the computability of real functions, Annual Univ. Sofia Fac. Math. Inf.101 (2013) 115-122
Terayama, Kei and Tsuiki, Hideki, A stream calculus of bottomed sequences for real number computation, in: Proceedings of the Twenty-Ninth Conference on the Mathematical
Foundations of Programming Semantics, MFPS XXIX, vol. 298 of Electron. Notes Theor. Comput. Sci., Elsevier Sci. B. V., Amsterdam, 2013, pages 383-402
Becher, Verónica, Turing's normal numbers: towards randomness, in: Cooper, S. Barry and Dawar, Anuj and Löwe, Benedikt (eds.), How the World Computes, vol. 7318 of Lecture Notes in Computer Science, Springer, Heidelberg, 2012, pages 35-45
Berger, Josef and Ishihara, Hajime and Palmgren, Erik and Schuster,
Peter, A predicative completion of a uniform space, Annals of Pure and Applied Logic163:8 (2012) 975-980
Berger, Josef and Ishihara, Hajime and Schuster, Peter, The weak Kőnig lemma, Brouwer's Fan theorem, de Morgan's
law, and dependent choice, Reports on Mathematical Logic :47 (2012) 63-86
Bienvenu, Laurent and Hölzl, Rupert and Miller, Joseph S. and
Nies, André, The Denjoy alternative for computable functions, in: 29th International Symposium on Theoretical Aspects of Computer
Science, vol. 14 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2012, pages 543-554
Bonnot, Sylvain and Braverman, Mark and Yampolsky, Michael, Thurston equivalence to a rational map is decidable, Mosc. Math. J.12:4 (2012) 747-763, 884
Bournez, Olivier and Graça, Daniel S. and Pouly, Amaury, On the complexity of solving initial value problems, in: van der Hoeven, Joris and van Hoeij, Mark (eds.), ISSAC 2012–Proceedings of the 37th International Symposium
on Symbolic and Algebraic Computation, ACM, New York, 2012, pages 115-121
Brattka, Vasco and Le Roux, Stéphane and Pauly, Arno, On the Computational Content of the Brouwer Fixed Point Theorem, in: Cooper, S. Barry and Dawar, Anuj and Löwe, Benedikt (eds.), How the World Computes, vol. 7318 of LNCS, Springer, Berlin, 2012, pages 57-67
Braverman, Mark and Grigo, Alexander and Rojas, Cristobal, Noise vs Computational Intractability in Dynamics, in: Proceedings of the 3rd Innovations in Theoretical Computer Science
Conference, ITCS '12, ACM, New York, NY, USA, 2012, pages 128-141
Bridges, Douglas S., Constructive Solutions of Ordinary Differential Equations, in: Ulrich Berger and Hannes Diener and Peter Schuster and Monika Seisenberger (eds.), Logic, Construction, Computation, vol. 3 of Ontos Mathematical Logic, de Gruyter, 2012, pages 67-77
Bridges, Douglas S. and Havea, Robin S., Square roots and powers in constructive Banach algebra theory, in: Cooper, S. Barry and Dawar, Anuj and Löwe, Benedikt (eds.), How the World Computes, vol. 7318 of Lecture Notes in Computer Science, Springer, Heidelberg, 2012, pages 68-77
Bridges, Douglas S. and Vîţă, Luminita, Constructing the infimum of two projections, in: Computation, physics and beyond, vol. 7160 of Lecture Notes in Comput. Sci., Springer, Heidelberg, 2012, pages 46-58
Dillhage, Ruth, Computable Functional Analysis, Compact Operators on Computable Banach
Spaces and Computable Best Approximation, PhD thesis, Faculty for Mathematics and Computer Science, University of Hagen, Hagen, Germany, 2012
Dudko, Artem, Dynamics of holomorphic maps: Resurgence of Fatou coordinates,
and Poly-time computability of Julia sets, PhD thesis, University of Toronto, 2012
Farjudian, Amin, Polynomial-time solution of initial value problems using polynomial
enclosures, in: Ong, L. and de Queiroz, R. (eds.), Logic, Language, Information and Computation, vol. 7456 of Lecture Notes in Computer Science, Springer, Heidelberg, 2012, pages 232-245
Franklin, Johanna N. Y. and Greenberg, Noam and Miller, Joseph S.
and Ng, Keng Meng, Martin-Löf random points satisfy Birkhoff's ergodic theorem
for effectively closed sets, Proceedings of the American Mathematical Society140:10 (2012) 3623-3628
Freer, Cameron E. and Roy, Daniel M., Computable de Finetti measures, Annals of Pure and Applied Logic163:5 (2012) 530-546
Gao, Sicun and Avigad, Jeremy and Clarke, Edmund M., Delta-decidability over the reals, in: Proceedings of the 2012 27th Annual ACM/IEEE Symposium on
Logic in Computer Science, IEEE Computer Soc., Los Alamitos, CA, 2012, pages 305-314
Gao, Sicun and Avigad, Jeremy and Clarke, Edmund M., δ-complete decision procedures for satisfiability over the
reals, in: Automated reasoning, vol. 7364 of Lecture Notes in Comput. Sci., Springer, Heidelberg, 2012, pages 286-300
Hendtlass, Matthew and Schuster, Peter, A direct proof of Wiener's theorem, in: Cooper, S. Barry and Dawar, Anuj and Löwe, Benedikt (eds.), How the World Computes, vol. 7318 of Lecture Notes in Computer Science, Springer, Heidelberg, 2012, pages 293-302
Higuchi, Kojiro, Degree Structures of Mass Problems and Choice Functions, PhD thesis, Mathematical Institute, Tohoku University, Sendai, Japan, 2012
Higuchi, Kojiro and Kihara, Takayuki, Effective strong nullness and effectively closed sets, in: Cooper, S. Barry and Dawar, Anuj and Löwe, Benedikt (eds.), How the World Computes, vol. 7318 of Lecture Notes in Computer Science, Springer, Heidelberg, 2012, pages 303-312
Hoyrup, Mathieu, The dimension of ergodic random sequences, in: Christoph Dürr and Thomas Wilke (eds.), 29th International Symposium on Theoretical Aspects of Computer
Science, vol. 14 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2012, pages 567-576
Kawamura, Akitoshi and Ota, Hiroyuki and Rösnick, Carsten and
Ziegler, Martin, Computational complexity of smooth differential equations, in: Mathematical foundations of computer science 2012, vol. 7464 of Lecture Notes in Comput. Sci., Springer, Heidelberg, 2012, pages 578-589
Keimel, Klaus, Locally convex cones and the Schröder-Simpson theorem, Quaestiones Mathematicae35 (2012) 353-390
Kihara, Takayuki, A hierarchy of immunity and density for sets of reals, in: Cooper, S. Barry and Dawar, Anuj and Löwe, Benedikt (eds.), How the World Computes, vol. 7318 of Lecture Notes in Computer Science, Springer, Heidelberg, 2012, pages 384-394
Kreinovich, V., Negative results of computable analysis disappear if we restrict
ourselves to random (or, more generally, typical) inputs, in: Mathematical structures and modeling. Number 25 (Russian), Omsk. Gos. Univ., Omsk, 2012, pages 100-113, 131
Manin, Yuri I., A computability challenge: asymptotic bounds for error-correcting
codes, in: Computation, physics and beyond, vol. 7160 of Lecture Notes in Computer Science, Springer, Heidelberg, 2012, pages 174-182
Pauly, Arno, Multi-valued functions in computability theory, in: Cooper, S. Barry and Dawar, Anuj and Löwe, Benedikt (eds.), How the World Computes, vol. 7318 of Lecture Notes in Computer Science, Springer, Heidelberg, 2012, pages 571-580
Peng, NingNing and Higuchi, Kojiro and Yamazaki, Takeshi and Tanaka,
Kazuyuki, Relative randomness for Martin-Löf random sets, in: Cooper, S. Barry and Dawar, Anuj and Löwe, Benedikt (eds.), How the World Computes, vol. 7318 of Lecture Notes in Computer Science, Springer, Heidelberg, 2012, pages 581-588
Rettinger, Robert, Compactness and the effectivity of uniformization, in: Cooper, S. Barry and Dawar, Anuj and Löwe, Benedikt (eds.), How the World Computes, vol. 7318 of Lecture Notes in Computer Science, Springer, Heidelberg, 2012, pages 626-625
Rettinger, Robert, On computable approximations of Landau's constant, Log. Methods Comput. Sci.8:4 (2012) 4:15, 11
Tanaka, Yasuhito, Constructive proof of Brouwer's fixed point theorem for sequentially
locally non-constant and uniformly sequentially continuous functions, IAENG Int. J. Appl. Math.42:1 (2012) 1-6
Ackerman, Nathanael L. and Freer, Cameron E. and Roy, Daniel M., Noncomputable conditional distributions, in: 26th Annual IEEE Symposium on Logic in Computer Science–LICS
2011, IEEE Computer Soc., Los Alamitos, CA, 2011, pages 107-116
Binder, Ilia and Braverman, Mark and Rojas, Cristobal and Yampolsky,
Michael, Computability of Brolin-Lyubich measure, Comm. Math. Phys.308:3 (2011) 743-771
Bridges, Douglas S., Characterising weak-operator continuous linear functionals on B(H)
constructively, Doc. Math.16 (2011) 597-617
Bridges, Douglas S. and Vîţă, Luminiţa Simona, Apartness and Uniformity, Theory and Applications of Computability, Springer, Heidelberg, 2011
Brodhead, Paul and Cenzer, Douglas and Toska, Ferit and Wyman, Sebastian, Algorithmic randomness and capacity of closed sets, Log. Methods Comput. Sci.7:3 (2011) 3:16, 16
Buescu, J. and Graça, D. S. and Zhong, N., Computability and dynamical systems, in: Dynamics, games and science. I, vol. 1 of Springer Proc. Math., Springer, Heidelberg, 2011, pages 169-181
Gu, Xiaoyang and Lutz, Jack H. and Mayordomo, Elvira, Curves that must be retraced, Information and Computation209:6 (2011) 992-1006
Gu, Xiaoyang and Lutz, Jack H. and Nandakumar, Satyadev and Royer, James S., Axiomatizing resource bounds for measure, in: Models of computation in context, vol. 6735 of Lecture Notes in Comput. Sci., Springer, Heidelberg, 2011, pages 102-111
Hertling, Peter and Selivanov, Victor, Complexity issues for preorders on finite labeled forests, in: Löwe, Benedikt and Normann, Dag and Soskov, Ivan and Soskova,
Alexandra (eds.), Models of computation in context, vol. 6735 of LNCS, Springer, Heidelberg, 2011, pages 112-121
Hoyrup, Mathieu, Randomness and the ergodic decomposition, in: Benedikt Löwe and Dag Normann and Ivan N. Soskov and Alexandra
A. Soskova (eds.), Models of Computation in Context, vol. 6735 of LNCS, Springer, Heidelberg, 2011, pages 122-131
Hoyrup, Mathieu and Rojas, Cristóbal and Weihrauch, Klaus, Computability of the Radon-Nikodym derivative, in: Löwe, Benedikt and Normann, Dag and Soskov, Ivan and Soskova,
Alexandra (eds.), Models of Computation in Context, vol. 6735 of LNCS, Springer, Heidelberg, 2011, pages 132-141
Iljazović, Zvonko, Co-c.e. spheres and cells in computable metric spaces, Logical Methods in Computer Science7:3 (2011) 3:05, 21
Kawamura, Akitoshi, Computational Complexity in Analysis and Geometry, Ph.D. thesis, Department of Computer Science, University of Toronto, 2011
Kihara, Takayuki, Effectively closed sets and degrees of unsolvability, PhD thesis, Mathematical Institute, Tohoku University, 2011
Lathrop, James I. and Lutz, Jack H. and Patterson, Brian, Multi-resolution cellular automata for real computation, in: Models of computation in context, vol. 6735 of Lecture Notes in Comput. Sci., Springer, Heidelberg, 2011, pages 181-190
Pauly, Arno, Computable Metamathematics and its Application to Game Theory, Ph.D. thesis, University of Cambridge, Computer Laboratory, Clare College, Cambridge, 2011
Roy, Daniel, Computability, inference and modeling in probabilistic programming, PhD thesis, Department of Electrical Engineering and Computer Science, Massachusetts
Institute of Technology, Cambridge, Boston, USA, 2011
Skordev, Dimiter, Uniform computability of real functions, in: 120 Years Faculty of Mathematics and Informatics, St. Kliment Ohridski
University of Sofia, Proceedings, St. Kliment Ohridski University Press, Sofia, 2011, pages 179-185
Skordev, Dimiter and Georgiev, Ivan, On a relative computability notion for real functions, in: Models of computation in context, vol. 6735 of Lecture Notes in Comput. Sci., Springer, Heidelberg, 2011, pages 270-279
Tanaka, Yasuhito, Equivalence between an approximate version of Brouwer's fixed point
theorem and Sperner's lemma: a constructive analysis, Appl. Math. E-Notes11 (2011) 238-243
Tanaka, Yasuhito, A proof of constructive version of Brouwer's fixed point theorem
with uniform sequential continuity, ISRN Appl. Math. (2011) Art. ID 276040, 9
Taylor, Paul, Foundations for Computable Topology, in: Sommaruga, Giovanni (ed.), Foundational Theories of Classical and Constructive Mathematics, vol. 76 of Western Ontario Series in Philosophy of Science, Springer, Dordrecht, 2011, pages 265-310
Avigad, Jeremy and Gerhardy, Philipp and Towsner, Henry, Local stability of ergodic averages, Transactions of the American Mathematical Society362 (2010) 261-288
Berger, Josef and Bridges, Douglas S., A constructive study of Landau's summability theorem, J.UCS16:18 (2010) 2523-2534
Bienvenu, Laurent and Day, Adam and Mezhirov, Ilya and Shen, Alexander, Ergodic-type Characterizations of Algorithmic Randomness, in: Fernando Ferreira and Benedikt Löwe and Elvira Mayordomo and
Luís Mendes Gomes (eds.), CiE 2010, vol. 6158 of LNCS, Springer, Berlin, 2010, pages 49-58
Bienvenu, Laurent and Hoyrup, Mathieu, Une brève introduction à la théorie effective de l'aléatoire, Gaz. Math. :123 (2010) 35-47
Bournez, Olivier and Graça, Daniel S. and Hainry, Emmanuel, Robust computations with dynamical systems, in: Mathematical foundations of computer science 2010, vol. 6281 of Lecture Notes in Comput. Sci., Springer, Berlin, 2010, pages 198-208
Brattka, Vasco and Dillhage, Ruth, Computability of finite-dimensional linear subspaces and best approximation, APAL162 (2010) 182-193
Brattka, Vasco and Pauly, Arno, Computation with Advice, in: Zheng, Xizhong and Zhong, Ning (eds.), CCA 2010, Proceedings of the Seventh International Conference on
Computability and Complexity in Analysis, vol. 24 of Electronic Proceedings in Theoretical Computer Science, 2010, pages 41-55
Briseid, Eyvind Martol, A new uniformity for asymptotic contractions in the sense of Kirk, Int. J. Math. Stat.6:S10 (2010) 2-13
Buser, Peter and Scarpellini, Bruno, Recursive analysis of singular ordinary differential equations, APAL162 (2010) 20-35
Cenzer, Douglas and Dashti, Ali and Toska, Ferit and Wyman, Sebastian, Computability of countable subshifts, in: Programs, proofs, processes, vol. 6158 of Lecture Notes in Comput. Sci., Springer, Berlin, 2010, pages 88-97
Collins, Pieter J., Computable Analysis with Applications to Dynamic Systems, CWI Report, Modelling, Analysis and ComputingMAC-1002 (2010)
de Brecht, Matthew, Topological and Algebraic Aspects of Algorithmic Learning Theory, PhD thesis, Graduate School of Informatics, Kyoto University, 2010
Diener, Hannes and Schuster, Peter, On choice principles and fan theorems, J.UCS16:18 (2010) 2556-2562
Esbelin, Henri-Alex, Rudimentarity of two famous real numbers, in: Studies in weak arithmetics, vol. 196 of CSLI Lecture Notes, CSLI Publ., Stanford, CA, 2010, pages 121-126
Higuchi, Kojiro, P_w is not a Heyting algebra, in: Programs, proofs, processes, vol. 6158 of Lecture Notes in Comput. Sci., Springer, Berlin, 2010, pages 190-194
Kawamura, Akitoshi and Cook, Stephen, Complexity theory for operators in analysis, in: Proceedings of the 42nd ACM Symposium on Theory of Computing, STOC '10, ACM, New York, 2010, pages 495-502
Kjos-Hanssen, Bjørn, The probability distribution as a computational resource for randomness
testing, Journal of Logic and Analysis2 (2010) Paper 10, 13
Kohlenbach, Ulrich, On the logical analysis of proofs based on nonseparable Hilbert
space theory, in: Proofs, categories and computations, vol. 13 of Tributes, Coll. Publ., London, 2010, pages 131-143
Kudinov, Oleg V. and Selivanov, Victor L. and Zhukov, Anton V., Undecidability in Weihrauch Degrees, in: Ferreira, Fernando and Löwe, Benedikt and Mayordomo, Elvira and
Mendes Gomes, Luís (eds.), Programs, Proofs, Processes, vol. 6158 of LNCS, Springer, Berlin, 2010, pages 256-265
Lešnik, Davorin, Synthetic Topology and Constructive Metric Spaces, PhD thesis, University of Ljubljana, Faculty of Mathematics and Physics, Department
of Mathematics, Ljubljana, 2010
Logan M. Axon, Algorithmically random closed sets and probability, Ph.D. thesis, Department of Mathematics, University of Notre Dame, 2010
Mori, Takakazu and Tsujii, Yoshiki and Yasugi, Mariko, Fine convergence of functions and its effectivization, in: Automata, formal languages and algebraic systems, World Sci. Publ., Hackensack, NJ, 2010, pages 139-162
Yasugi, Mariko and Washihara, Masako, Sequential computability of a function–limiting recursion versus
effective uniformity–to the memory of Marian Boykan Pour-El, Sci. Math. Jpn.71:3 (2010) 331-341
Barmpalias, George and Cenzer, Douglas and Remmel, Jeffrey B. and
Weber, Rebecca, K-Triviality of Closed Sets and Continuous Functions, Journal of Logic and Computation19:1 (2009) 3-16
Baroni, Marian Alexandru, Towards a good constructive definition of order completeness, in: Proceedings of the Sixth Congress of Romanian Mathematicians.
Vol. 1, Ed. Acad. Române, Bucharest, 2009, pages 547-550
Bauer, Andrej and Stone, Christopher A., RZ: a Tool for Bringing Constructive and Computable Mathematics
Closer to Programming Practice, Journal of Logic and Computation19:1 (2009) 17-43
Binder, Ilia and Braverman, Mark, The complexity of simulating Brownian motion, in: Proceedings of the Twentieth Annual ACM-SIAM Symposium
on Discrete Algorithms, SIAM, Philadelphia, PA, 2009, pages 58-67
Binder, Ilia and Braverman, Mark, The Complexity of Simulating Brownian Motion, in: Proceedings of the Twentieth Annual ACM-SIAM Symposium on Discrete
Algorithms, SODA '09, Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, 2009, pages 58-67
Bosserhoff, Volker, On the effective existence of Schauder bases, Journal of Universal Computer Science15:6 (2009) 1145-1161
Brattka, Vasco, A computable version of Banach's Inverse Mapping Theorem, APAL157 (2009) 85-96
Brattka, Vasco and Collins, Pieter and Rettinger, Robert (eds.), Computability and Complexity in Analysis, Selected Papers of the Fifth International Conference on Computability
and Complexity in Analysis, August 21-24, 2008, Hagen, Germany, vol. 15 of JUCS, Graz University of Technology, Graz, 2009
Brattka, Vasco and Gherardi, Guido, Weihrauch Degrees, Omniscience Principles and Weak Computability, in: Bauer, Andrej and Hertling, Peter and Ko, Ker-I (eds.), CCA 2009, Proceedings of the Sixth International Conference on
Computability and Complexity in Analysis, Leibniz-Zentrum für Informatik, Schloss Dagstuhl, Germany, 2009, pages 83-94
Brattka, Vasco and Gherardi, Guido, Effective Choice and Boundedness Principles in Computable Analysis, in: Bauer, Andrej and Hertling, Peter and Ko, Ker-I (eds.), CCA 2009, Proceedings of the Sixth International Conference on
Computability and Complexity in Analysis, Leibniz-Zentrum für Informatik, Schloss Dagstuhl, Germany, 2009, pages 95-106
Brattka, Vasco and Gherardi, Guido, Borel Complexity of Topological Operations on Computable Metric Spaces, Journal of Logic and Computation19:1 (2009) 45-76
Bridges, Douglas S. and Havea, Robin S., Constructing square roots in a Banach algebra, Scientiae Mathematicae Japonicae70:3 (2009) 355-366
Bridges, Douglas S. and Vîţă, Luminiţa Simona, Journey into apartness space, in: Logicism, intuitionism, and formalism, vol. 341 of Synth. Libr., Springer, Dordrecht, 2009, pages 167-187
Cenzer, Douglas and Kihara, Takayuki and Weber, Rebecca and Wu, Guohua, Immunity and non-cupping for closed sets, Tbilisi Mathematical Journal2 (2009) 77-94
Cenzer, Douglas and Laforte, Geoffrey and Wu, Guohua, Pseudojumps and Π^0_1 Classes, Journal of Logic and Computation19:1 (2009) 77-87
Cenzer, Douglas and Weber, Rebecca and Wu, Guohua, Immunity for closed sets, in: Mathematical theory and computational practice, vol. 5635 of Lecture Notes in Comput. Sci., Springer, Berlin, 2009, pages 109-117
Collins, Pieter, Computability of Homology for Compact Absolute Neighbourhood Retracts, in: Bauer, Andrej and Hertling, Peter and Ko, Ker-I (eds.), CCA 2009, Proceedings of the Sixth International Conference on
Computability and Complexity in Analysis, Leibniz-Zentrum für Informatik, Schloss Dagstuhl, Germany, 2009, pages 107-118
de Brecht, Matthew and Yamamoto, Akihiro, Σ^0_α-Admissible Representations (Extended Abstract), in: Bauer, Andrej and Hertling, Peter and Ko, Ker-I (eds.), 6th International Conference on Computability and Complexity in Analysis
(CCA 2009), vol. 11 of OpenAccess Series in Informatics (OASIcs), Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik, Dagstuhl, Germany, 2009
Diamondstone, David and Kjos-Hanssen, Bjørn, Members of Random Closed Sets, in: Ambos-Spies, Klaus and Löwe, Benedikt and Merkle, Wolfgang (eds.), Mathematical Theory and Computational Practice, 5th Conference on
Computability in Europe, CiE 2009, Heidelberg, Germany, July 19-24,
2009. Proceedings, vol. 5635 of Lecture Notes in Computer Science, Springer, 2009, pages 144-153
Diener, Hannes and Loeb, Iris, Sequences of real functions on [0,1] in constructive reverse mathematics, APAL157:1 (2009) 1-62
Edalat, Abbas, A computable approach to measure and integration theory, Information and Computation207:5 (2009) 642-659
Fouché, Willem L., Fractals generated by algorithmically random Brownian motion, in: Klaus Ambos-Spies and Benedikt Löwe and Wolfgang Merkle (eds.), Mathematical Theory and Computational Practice, vol. 5635 of Lecture Notes in Computer Science, Springer, Berlin, 2009, pages 208-217
Freer, Cameron E. and Roy, Daniel M., Computable exchangeable sequences have computable de Finetti measures, in: Klaus Ambos-Spies and Benedikt Löwe and Wolfgang Merkle (eds.), Mathematical Theory and Computational Practice, vol. 5635 of LNCS, Springer, Berlin, 2009, pages 218-231
Galatolo, Stefano and Hoyrup, Mathieu and Rojas, Cristóbal, A constructive Borel-Cantelli lemma. Constructing orbits with
required statistical properties, TCS410 (2009) 2207-2222
Gács, Peter and Hoyrup, Mathieu and Rojas, Cristóbal, Randomness on computable probability spaces–a dynamical point of
view, in: Susanne Albers and Jean-Yves Marion (eds.), STACS 2009: 26th International Symposium on Theoretical Aspects
of Computer Science, vol. 3 of LIPIcs. Leibniz Int. Proc. Inform., Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2009, pages 469-480
Hoyrup, Mathieu and Rojas, Cristóbal, Applications of effective probability theory to Martin-Löf
randomness, in: Susanne Albers and Alberto Marchetti-Spaccamela and Yossi Matias
and Sotiris E. Nikoletseas and Wolfgang Thomas (eds.), Automata, Languages and Programming. Part I, vol. 5555 of Lecture Notes in Comput. Sci., Springer, Berlin, 2009, pages 549-561
Hoyrup, Mathieu and Rojas, Cristóbal, An application of Martin-Löf randomness to effective probability
theory, in: Klaus Ambos-Spies and Benedikt Löwe and Wolfgang Merkle (eds.), Mathematical Theory and Computational Practice, vol. 5635 of Lecture Notes in Computer Science, Springer, Berlin, 2009, pages 260-269
Lewis, Andrew and Nies, André and Sorbi, Andrea, The first order theories of the Medvedev and Muchnik lattices, in: Mathematical theory and computational practice, vol. 5635 of Lecture Notes in Comput. Sci., Springer, Berlin, 2009, pages 324-331
Lutz, Jack H., A divergence formula for randomness and dimension, in: Mathematical theory and computational practice, vol. 5635 of Lecture Notes in Comput. Sci., Springer, Berlin, 2009, pages 342-351
Pauly, Arno, How Discontinuous is Computing Nash Equilibria? (Extended Abstract), in: Bauer, Andrej and Hertling, Peter and Ko, Ker-I (eds.), 6th International Conference on Computability and Complexity in Analysis
(CCA'09), vol. 11 of OpenAccess Series in Informatics (OASIcs), Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik, Dagstuhl, Germany, 2009
Rettinger, Robert and Zheng, Xizhong, Points on computable curves of computable lengths, in: Mathematical Foundations of Computer Science 2009, vol. 5734 of Lecture Notes in Computer Science, Springer, Berlin, 2009, pages 736-743
Richman, Fred, Intuitionistic notions of boundedness in \mathbbN, Mathematical Logic Quarterly55:1 (2009) 31-36
Andreev, Valentin V. and Daniel, Dale and McNicholl, Timothy H., Technical Report: Computation on the Extended Complex Plane and Conformal
Mapping of Multiply-connected Domains, in: Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
Angela (eds.), CCA 2008, Fifth International Conference on Computability and Complexity
in Analysis, vol. 221 of ENTCS, Elsevier, 2008, pages 127-139
Archibald, Margaret and Brattka, Vasco and Heuberger, Clemens, Randomness with respect to the Signed-Digit Representation, FI83:1-2 (2008) 1-19
Barmpalias, George and Brodhead, Paul and Cenzer, Douglas and Remmel,
Jeffrey B. and Weber, Rebecca, Algorithmic randomness of continuous functions, AML46:7-8 (2008) 533-546
Baroni, M. A. and Bridges, D. S., Continuity Properties of Preference Relations, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 19-25
Baroni, Marian A. and Bridges, Douglas S., Continuity properties of preference relations, MLQ54:5 (2008) 454-459
Batra, Prashant, Newton's method and the Computational Complexity of the Fundamental
Theorem of Algebra, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 201-218
Bauer, Andrej and Kavkler, Iztok, Implementing real numbers with RZ, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 365-384
Berger, Josef and Bridges, Douglas S., The anti-Specker property, a Heine-Borel property, AML46:7-8 (2008) 583-592
Berger, Josef and Bridges, Douglas S., The fan theorem and positive-valued uniformly continuous functions
on compact intervals, New Zealand Journal of Mathematics38 (2008) 129-135
Blanck, Jens and Stoltenberg-Hansen, Viggo and Tucker, John V., Stability for Effective Algebras, in: Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
Angela (eds.), CCA 2008, Fifth International Conference on Computability and Complexity
in Analysis, vol. 221 of ENTCS, Elsevier, 2008, pages 3-15
Bosserhoff, Volker, On the Effective Existence of Schauder Bases (Extended Abstract), in: Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
Angela (eds.), CCA 2008, Fifth International Conference on Computability and Complexity
in Analysis, vol. 221 of ENTCS, Elsevier, 2008, pages 17-21
Bosserhoff, Volker, Notions of Probabilistic Computability on Represented Spaces, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 137-170
Bosserhoff, Volker, The Bit-Complexity of Finding Nearly Optimal Quadrature Rules for
Weighted Integration, JUCS14:6 (2008) 938-955
Bosserhoff, Volker, Notions of Probabilistic Computability on Represented Spaces, JUCS14:6 (2008) 956-995
Bosserhoff, Volker, Are unbounded linear operators computable on the average for Gaussian
measures?, JC24:4 (2008) 477-491
Bosserhoff, Volker, Computable Functional Analysis and Probabilistic Computability, PhD thesis, University of the Armed Forces, Munich, 2008
Brattka, Vasco and Hertling, Peter and Weihrauch, Klaus, A Tutorial on Computable Analysis, in: Cooper, S. Barry and Löwe, Benedikt and Sorbi, Andrea (eds.), New Computational Paradigms: Changing Conceptions of What Is Computable, Springer, New York, 2008, pages 425-491
Brattka, Vasco and Ishihara, Hajime and Schröder, Matthias and
Zhong, Ning (eds.), Computability and Complexity in Analysis, Selected Papers of the Fourth International Conference on Computability
and Complexity in Analysis, June 16-18, 2007, Siena, Italy, vol. 14 of JUCS, Graz University of Technology, Graz, 2008
Brattka, Vasco and Ishihara, Hajime and Schröder, Matthias and
Zhong, Ning (eds.), Computability and Complexity in Analysis, Selected Papers of the Fourth International Conference on Computability
and Complexity in Analysis, June 16-18, 2007, Siena, Italy, vol. 54 of MLQ, Wiley-VCH, Weinheim, 2008
Braverman, Mark, Computability and Complexity of Julia Sets, PhD thesis, University of Toronto, Toronto, Canada, 2008
Braverman, Mark and Yampolsky, Michael, Computability of Julia Sets, vol. 23 of Algorithms and Computation in Mathematics, Springer, Berlin, 2008
Braverman, Mark and Yampolsky, Michael, Computability of Julia sets, Moscow Mathematical Journal8:2 (2008) 185-231, 399
Bridges, Douglas S., Uniform continuity properties of preference relations, Notre Dame Journal of Formal Logic49:1 (2008) 97-106
Bridges, Douglas S., Product a-frames and proximity, MLQ54:1 (2008) 12-25
Bridges, Douglas S. and Havea, Robin S., Constructive notions of maximality for ideals, Journal of Universal Computer Science14:22 (2008) 3648-3657
Bridges, Douglas S. and Ishihara, Hajime and Schuster, Peter M. and
Vîţă, Luminiţa, Apartness, compactness and nearness, Theoretical Computer Science405:1-2 (2008) 3-10
Bridges, Douglas S. and Vîţă, Luminiţa, Proximal Connectedness, FI83:1-2 (2008) 25-34
Briseid, E. M., Fixed points of generalized contractive mappings, Journal of Nonlinear and Convex Analysis9:2 (2008) 181-204
Brodhead, Paul and Cenzer, Douglas, Effectively closed sets and enumerations, AML46:7-8 (2008) 565-582
Campagnolo, Manuel L. and Ojakian, Kerry, Characterizing Computable Analysis with Differential Equations, in: Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
Angela (eds.), CCA 2008, Fifth International Conference on Computability and Complexity
in Analysis, vol. 221 of ENTCS, Elsevier, 2008, pages 23-35
Campagnolo, Manuel L. and Ojakian, Kerry, The elementary computable functions over the real numbers: applying
two new techniques, AML46:7-8 (2008) 593-627
Cenzer, Douglas and Dashti, S. Ali and King, Jonathan L.F., Effective Symbolic Dynamics, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 89-99
Cenzer, Douglas and Dashti, S. Ali and King, Jonathan L.F., Computable symbolic dynamics, MLQ54:5 (2008) 460-469
Ciobanu, Gabriel and Rusu, Dănuţ, Supermetrics over Apartness Lattice-Ordered Semigroup, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 191-200
Collins, Peter and Graça, Daniel, Effective Computability of Solutions of Ordinary Differential Equations
The Thousand Monkeys Approach, in: Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
Angela (eds.), CCA 2008, Fifth International Conference on Computability and Complexity
in Analysis, vol. 221 of ENTCS, Elsevier, 2008, pages 103-114
Collins, Pieter, Computability and Representations of the Zero Set, in: Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
Angela (eds.), CCA 2008, Fifth International Conference on Computability and Complexity
in Analysis, vol. 221 of ENTCS, Elsevier, 2008, pages 37-43
Diener, Hannes, Compactness under constructive scrutiny, Ph.D. thesis, University of Canterbury, Christchurch, New Zealand, 2008
Dillhage, Ruth, Computability of the Spectrum of Self-Adjoint Operators and the Computable
Operational Calculus, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 365-384
Dillhage, Ruth and Brattka, Vasco, Computability of the Metric Projection Onto Finite-dimensional Linear
Subspaces, in: Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
Angela (eds.), CCA 2008, Fifth International Conference on Computability and Complexity
in Analysis, vol. 221 of ENTCS, Elsevier, 2008, pages 45-60
Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), CCA 2007, Siena, Italy, June 16-18, 2007, vol. 202 of ENTCS, Amsterdam, 2008
Fouché, Willem, An Algorithmic Construction of Quantum Circuits of High Descriptive
Complexity, in: Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
Angela (eds.), CCA 2008, Fifth International Conference on Computability and Complexity
in Analysis, vol. 221 of ENTCS, Elsevier, 2008, pages 61-69
Fouché, Willem, Dynamics of a generic Brownian motion: Recursive aspects, TCS394 (2008) 175-186
Franklin, Johanna N.Y., Schnorr trivial reals: a construction, AML46:7-8 (2008) 665-678
Gherardi, Guido and Marcone, Alberto, How Incomputable is the Separable Hahn-Banach Theorem?, in: Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
Angela (eds.), CCA 2008, Fifth International Conference on Computability and Complexity
in Analysis, vol. 221 of ENTCS, Elsevier, 2008, pages 85-102
Graça, Daniel S. and Buescu, Jorge and Campagnolo, Manuel L., Boundedness of the domain of definition is undecidable for polynomial
ODEs, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 49-57
Grubba, Tanja and Weihrauch, Klaus and Xu, Yatao, Effectivity on Continuous Functions in Topological Spaces, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 237-254
Gu, Xiaoyang and Lutz, Jack H., Effective dimensions and relative frequencies, in: Logic and theory of algorithms, vol. 5028 of Lecture Notes in Comput. Sci., Springer, Berlin, 2008, pages 231-240
Hemmerling, Armin, Hierarchies of function classes defined by the first-value operator, TIA42:2 (2008) 253-270
Hertling, Peter and Spandl, Christoph, Computability theoretic properties of the entropy of gap shifts, Fundamenta Informaticae83:1-2 (2008) 141-157
Hertling, Peter and Spandl, Christoph, Shifts with decidable language and non-computable entropy, Discrete Mathematics and Theoretical Computer Science10:3 (2008) 75-93
Hirschfeldt, Denis R. and Terwijn, Sebastiaan A., Limit computability and constructive measure, in: Computational prospects of infinity. Part II. Presented talks, vol. 15 of Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap., World Sci. Publ., Hackensack, NJ, 2008, pages 131-141
Kalantari, Iraj and Welch, Larry, On degree-preserving homeomorphisms between trees in computable topology, AML46:7-8 (2008) 679-693
Kalantari, Iraj and Welch, Larry, On Turing degrees of points in computable topology, MLQ54:5 (2008) 470-482
Ko, Ker-I and Yu, Fuxiang, On the Complexity of Convex Hulls of Subsets of the Two-Dimensional
Plane, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 121-135
Kohlenbach, Ulrich, Effective bounds from proofs in abstract functional analysis, in: Cooper, S. Barry and Löwe, Benedikt and Sorbi, Andrea (eds.), New Computational Paradigms: Changing Conceptions of What Is Computable, Springer, New York, 2008, pages 223-258
Kohlenbach, Ulrich, Applied Proof Theory: Proof Interpretations and Their Use in Mathematics, Springer, Berlin, 2008
Korovina, Margarita and Kudinov, Oleg, Towards Computability over Effectively Enumerable Topological Spaces, in: Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
Angela (eds.), CCA 2008, Fifth International Conference on Computability and Complexity
in Analysis, vol. 221 of ENTCS, Elsevier, 2008, pages 115-125
Le Roux, Stéphane and Ziegler, Martin, Singular Coverings and Non-Uniform Notions of Closed Set Computability, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 73-88
Le Roux, Stéphane and Ziegler, Martin, Singular coverings and non-uniform notions of closed set computability, MLQ54:5 (2008) 545-560
Lešnik, Davorin, Constructive Urysohn's Universal Metric Space, in: Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
Angela (eds.), CCA 2008, Fifth International Conference on Computability and Complexity
in Analysis, vol. 221 of ENTCS, Elsevier, 2008, pages 171-179
Lu, Dianchen and Wang, Qingyan, Computing the Solution of the m-Korteweg-de Vries Equation on
Turing Machines, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 219-236
Lu, Hong and Weihrauch, Klaus, Computable Riesz Representation for Locally Compact Hausdorff
Spaces, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 3-12
Lu, Hong and Weihrauch, Klaus, Computable Riesz Representation for Locally Compact Hausdorff
Spaces, JUCS14:6 (2008) 845-860
Lutz, Jack and Weihrauch, Klaus, Connectivity Properties of Dimension Level Sets, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 295-304
Lutz, Jack H. and Mayordomo, Elvira, Dimensions of points in self-similar fractals, in: Computing and combinatorics, vol. 5092 of Lecture Notes in Comput. Sci., Springer, Berlin, 2008, pages 215-224
Lutz, Jack H. and Weihrauch, Klaus, Connectivity properties of dimension level sets, MLQ54:5 (2008) 483-491
Marcial-Romero, J. Raymundo and Moshier, M. Andrew, Sequential Real Number Computation and Recursive Relations, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 171-189
Marcial-Romero, J. Raymundo and Moshier, M. Andrew, Sequential real number computation and recursive relations, MLQ54:5 (2008) 492-507
McNicholl, Timothy H., Uniformly computable aspects of inner functions, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 27-36
McNicholl, Timothy H., A uniformly computable Implicit Function Theorem, MLQ54:3 (2008) 272-279
McNicholl, Timothy H., Uniformly computable aspects of inner functions: estimation and factorization, MLQ54:5 (2008) 508-518
McNulty, George F., The equational compatibility problem for the real line, Algebra Universalis59:3-4 (2008) 259-275
Mielke, Jöran, Refined Bounds on Kolmogorov Complexity for ω-Languages, in: Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
Angela (eds.), CCA 2008, Fifth International Conference on Computability and Complexity
in Analysis, vol. 221 of ENTCS, Elsevier, 2008, pages 181-189
Mori, Takakazu and Yasugi, Mariko and Tsujii, Yoshiki, Integral of Two-dimensional Fine-computable Functions, in: Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
Angela (eds.), CCA 2008, Fifth International Conference on Computability and Complexity
in Analysis, vol. 221 of ENTCS, Elsevier, 2008, pages 141-152
Mori, Takakazu and Yasugi, Mariko and Tsujii, Yoshiki, Integral of Fine Computable functions and Walsh Fourier series, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 279-293
Mori, Takakazu and Yasugi, Mariko and Tsujii, Yoshiki, Effective Fine-convergence of Walsh-Fourier series, MLQ54:5 (2008) 519-534
Morozov, Andrei and Korovina, Margarita, Remarks on Σ-definability without the equality test over the
reals, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 315-322
Morozov, Andrei S. and Korovina, Margarita V., On Σ-definability without equality over the real numbers, MLQ54:5 (2008) 535-544
Moser, Philippe, On the Convergence of Fourier Series of Computable Lebesgue Integrable
Functions, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 13-18
Müller, Norbert Th. and Zhao, Xishun, Jordan Areas and Grids, in: Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
Angela (eds.), CCA 2008, Fifth International Conference on Computability and Complexity
in Analysis, vol. 221 of ENTCS, Elsevier, 2008, pages 191-206
Nandakumar, Satyadev, Characterization of Constructive Dimension, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 323-337
Nandakumar, Satyadev, A characterization of constructive dimension, in: Proceedings of the Fourth International Conference on Computability and Complexity in Analysis (CCA 2007), vol. 202 of Electron. Notes Theor. Comput. Sci., Elsevier Sci. B. V., Amsterdam, 2008, pages 323-337
Nemoto, Takako, Weak weak König's lemma in constructive reverse mathematics, in: Proceedings of the 10th Asian Logic Conference (ALC 10), 2008, page 263–270
Rettinger, Robert, Lower Bounds on the Continuation of Holomorphic Functions, in: Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
Angela (eds.), CCA 2008, Fifth International Conference on Computability and Complexity
in Analysis, vol. 221 of ENTCS, Elsevier, 2008, pages 207-217
Rettinger, Robert, On the Computability of Blochs Constant, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 315-322
Rettinger, Robert, Bloch's Constant is Computable, JUCS14:6 (2008) 896-907
Rettinger, Robert and Weihrauch, Klaus and Zhong, Ning, Complexity of Blowup Problems (Extended Abstract), in: Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
Angela (eds.), CCA 2008, Fifth International Conference on Computability and Complexity
in Analysis, vol. 221 of ENTCS, Elsevier, 2008, pages 219-230
Schröder, Matthias, On the Relationship between Filter Spaces and Weak Limit Spaces, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 267-277
Schröder, Matthias, An Effective Tietze-Urysohn Theorem for QCB-Spaces (Extended
Abstract), in: Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
Angela (eds.), CCA 2008, Fifth International Conference on Computability and Complexity
in Analysis, vol. 221 of ENTCS, Elsevier, 2008, pages 231-242
Schröder, Matthias, On the Relationship between Filter Spaces and Weak Limit Spaces, JUCS14:6 (2008) 996-1015
Selivanov, Victor, On the Difference Hierarchy in Countably Based T_0-Spaces, in: Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
Angela (eds.), CCA 2008, Fifth International Conference on Computability and Complexity
in Analysis, vol. 221 of ENTCS, Elsevier, 2008, pages 257-269
Selivanov, Victor, On the Wadge Reducibility of k-Partitions, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 59-71
Selivanova, Svetlana and Selivanov, Victor, Computing Solutions of Symmetric Hyperbolic Systems of PDE's, in: Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
Angela (eds.), CCA 2008, Fifth International Conference on Computability and Complexity
in Analysis, vol. 221 of ENTCS, Elsevier, 2008, pages 243-255
Skordev, Dimiter, E^2-computability of e, π and other famous constants, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 37-47
Skordev, Dimiter, On the Subrecursive Computability of Several Famous Constants, JUCS14:6 (2008) 861-875
Spandl, Christoph, Computability of Topological Pressure for Shifts of Finite Type with
Applications in Statistical Physics, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 385-401
Spandl, Christoph, Computability of Topological Pressure for Sofic Shifts with Applications
in Statistical Physics, JUCS14:6 (2008) 876-895
Spreen, Dieter, On the Continuity of Effective Multifunctions, in: Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
Angela (eds.), CCA 2008, Fifth International Conference on Computability and Complexity
in Analysis, vol. 221 of ENTCS, Elsevier, 2008, pages 271-286
Spreen, Dieter, On some problems in computable topology, in: Logic Colloquium 2005, vol. 28 of Lect. Notes Log., Assoc. Symbol. Logic, Urbana, IL, 2008, pages 221-254
Staiger, Ludwig, On Oscillation-free ε-random Sequences, in: Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
Angela (eds.), CCA 2008, Fifth International Conference on Computability and Complexity
in Analysis, vol. 221 of ENTCS, Elsevier, 2008, pages 287-297
Tsuiki, Hideki and Yamada, Shuji, On Finite-time Computability Preserving Conversions, in: Brattka, Vasco and Dillhage, Ruth and Grubba, Tanja and Klutsch,
Angela (eds.), CCA 2008, Fifth International Conference on Computability and Complexity
in Analysis, vol. 221 of ENTCS, Elsevier, 2008, pages 299-308
Weihrauch, Klaus, The Computable Multi-Functions on Multi-represented Sets are Closed
under Programming, JUCS14:6 (2008) 801-844
Welch, P.D., The extent of computation in Malament-Hogarth spacetimes, British Journal for the Philosophy of Science59:4 (2008) 659-674
Zhao, Xishun and Müller, Norbert, Complexity of Operators on Compact Sets, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 101-119
Zheng, Xizhong, Finitely Bounded Effective Computability, in: Dillhage, Ruth and Grubba, Tanja and Sorbi, Andrea and Weihrauch,
Klaus and Zhong, Ning (eds.), Proceedings of the Fourth International Conference on Computability
and Complexity in Analysis (CCA 2007), vol. 202 of ENTCS, Elsevier, 2008, pages 255-265
Zheng, Xizhong, A hierarchy of computably enumerable reals, Fundamenta Informaticae83:1-2 (2008) 219-230
Barmpalias, George and Brodhead, Paul and Cenzer, Douglas and Dashti,
Seyyed and Weber, Rebecca, Algorithmic Randomness of Closed Sets, Journal of Logic and Computation17:6 (2007) 1041-1062
Barmpalias, George and Cenzer, Douglas and Remmel, Jeffrey B. and
Weber, Rebecca, K-Trivial Closed Sets and Continuous Functions, in: Cooper, S. Barry and Löwe, Benedikt and Sorbi, Andrea (eds.), Computation and Logic in the Real World, vol. 4497 of LNCS, Springer, Berlin, 2007, pages 135-145
Barmpalias, George and Montalbán, Antonio, A cappable almost everywhere dominating computably enumerable degree, in: Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
Klaus (eds.), Proceedings of the Third International Conference on Computability
and Complexity in Analysis, vol. 167 of ENTCS, Elsevier, Amsterdam, 2007, pages 17-31
Battenfeld, Ingo and Schröder, Matthias and Simpson, Alex, A Convenient Category of Domains, Electronic Notes in Theoretical Computer Science172 (2007) 69-99
Bauer, Andrej and Stone, Christopher A., RZ: A Tool for Bringing Constructive and Computable Mathematics
Closer to Programming Practice, in: Cooper, S. Barry and Löwe, Benedikt and Sorbi, Andrea (eds.), Computation and Logic in the Real World, vol. 4497 of LNCS, Springer, Berlin, 2007, pages 28-42
Becher, Verónica and Figueira, Santiago and Picchi, Rafael, Turing's unpublished algorithm for normal numbers, TCS377:1-3 (2007) 126-138
Becher, Verónica and Grigorieff, Serge, Random reals á la Chaitin with or without prefix-freeness, TCS385 (2007) 193-201
Beggs, Edwin J. and Tucker, John V., Can Newtonian systems, bounded in space, time, mass and energy
compute all functions?, TCS371 (2007) 4-19
Berger, Josef, Weak König's lemma implies the fan theorem for c-bars, in: Computation and Logic in the Real World, 2007, pages 86-88
Berger, Josef and Bridges, Douglas S., A fan-theoretic equivalent of the antithesis of Specker's theorem, Indagationes Mathematicae18:2 (2007) 195-202
Bertot, Yves, Affine functions and series with co-inductive real numbers, MSCS17 (2007) 37-63
Bienvenu, Laurent and Merkle, Wolfgang, Effective randomness for computable probability measures, in: Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
Klaus (eds.), Proceedings of the Third International Conference on Computability
and Complexity in Analysis, vol. 167 of ENTCS, Elsevier, Amsterdam, 2007, pages 117-130
Bosserhoff, Volker, Computability of solutions of operator equations, in: Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
Klaus (eds.), Proceedings of the Third International Conference on Computability
and Complexity in Analysis, vol. 167 of ENTCS, Elsevier, Amsterdam, 2007, pages 179-202
Bosserhoff, Volker, Computability of solutions of operator equations, MLQ53:4-5 (2007) 326-344
Bournez, Olivier and Campagnolo, Manuel L. and Graça, Daniel
S. and Hainry, Emmanuel, Polynomial differential equations compute all real computable functions
on computable compact intervals, JC23:3 (2007) 317-335
Brattka, Vasco, From Hilbert's 13th Problem to the theory of neural networks:
constructive aspects of Kolmogorov's Superposition Theorem, in: Charpentier, Éric and Lesne, Annick and Nikolski, Nikolaï (eds.), Kolmogorov's Heritage in Mathematics, Springer, Berlin, 2007, pages 253-280
Brattka, Vasco and Dillhage, Ruth, On Computable Compact Operators on Banach Spaces, in: Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
Klaus (eds.), Proceedings of the Third International Conference on Computability
and Complexity in Analysis, vol. 167 of ENTCS, Elsevier, Amsterdam, 2007, pages 365-386
Brattka, Vasco and Dillhage, Ruth, On Computable Compact Operators on Computable Banach Spaces with
Bases, MLQ53:4-5 (2007) 345-364
Brattka, Vasco and Frougny, Christiane and Müller, Norbert (eds.), Real Numbers, Selected Papers of the 6th conference on Real Numbers and Computers,
Dagstuhl, Germany, November 15-17, 2004, vol. 41 of TIA, EDP Sciences, Les Ulis, 2007
Brattka, Vasco and Gherardi, Guido, Borel Complexity of Topological Operations on Computable Metric Spaces, in: Cooper, S. Barry and Löwe, Benedikt and Sorbi, Andrea (eds.), Computation and Logic in the Real World, vol. 4497 of LNCS, Springer, Berlin, 2007, pages 83-97
Braverman, Mark and Yampolsky, Michael, Constructing non-computable Julia sets, in: STOC'07–Proceedings of the 39th Annual ACM Symposium
on Theory of Computing, ACM, New York, 2007, pages 709-716
Bridges, Douglas S., Colocatedness and Lebesgue Integrability, in: Cooper, S. Barry and Löwe, Benedikt and Sorbi, Andrea (eds.), Computation and Logic in the Real World, vol. 4497 of LNCS, Springer, Berlin, 2007, pages 98-104
Bridges, Douglas S., Philosophy of mathematics: 5 questions, in: Hendricks, Vincent F. and Leitgeb, Hannes (eds.), Philosophy of mathematics: 5 questions, Automatic Press/VIP, New York, London, 2007, pages 45-49
Bridges, Douglas S., Constructing local optima on a compact interval, AML46 (2007) 149-154
Bridges, Douglas S. and Havea, Robin, Powers of a Hermitian element, New Zealand J. Math.36 (2007) 1-10
Bridges, Douglas S. and Ishihara, Hajime and Mines, Ray and Richman,
Fred and Schuster, Peter M. and Vîţă, Luminiţa, Almost locatedness in uniform spaces, Czechoslovak Math. J.57:1 (2007) 1-12
Briseid, E. M., Addendum to the paper: "Some results on Kirk's asymptotic contractions"
[Fixed Point Theory 8 (2007), no. 1, 17-27, Fixed Point Theory8:2 (2007) 321-322
Briseid, Eyvind, A rate of convergence for asymptotic contractions, J. Math. Anal. Appl.330 (2007) 364-376
Briseid, Eyvind, Some results on Kirk's asymptotic contractions, Fixed Point Theory8 (2007) 17-27
Brodhead, Paul, Enumerations of Π^0_1 classes: acceptability and decidable
classes, in: Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
Klaus (eds.), Proceedings of the Third International Conference on Computability
and Complexity in Analysis, vol. 167 of ENTCS, Elsevier, Amsterdam, 2007, pages 289-301
Brodhead, Paul and Cenzer, Douglas and Remmel, Jeffrey B., Random Continuous Functions, in: Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
Klaus (eds.), Proceedings of the Third International Conference on Computability
and Complexity in Analysis, vol. 167 of ENTCS, Elsevier, Amsterdam, 2007
Buser, Peter and Scarpellini, Bruno, Undecidable propositions by ODE's, Annales Academiæ Scientiarum Fennicæ . Mathematica32:2 (2007) 317-340
Cagnard, Benoit and Simonnet, Pierre, Automata, Borel Functions and Real Numbers in Pisot Base, TIA41:1 (2007) 27-44
Campagnolo, Manuel L. and Ojakian, Kerry, The methods of approximation and lifting in real computation, in: Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
Klaus (eds.), Proceedings of the Third International Conference on Computability
and Complexity in Analysis, vol. 167 of ENTCS, Elsevier, Amsterdam, 2007, pages 387-423
Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
Klaus (eds.), Proceedings of the Third International Conference on Computability
and Complexity in Analysis, CCA 2006, Gainesville, Florida, USA, November 1-5, 2006, vol. 167 of ENTCS, Elsevier, Amsterdam, 2007
Cenzer, Douglas and Hinman, Peter G., Medvedev degrees of generalized r.e. separating classes, in: Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
Klaus (eds.), Proceedings of the Third International Conference on Computability
and Complexity in Analysis, vol. 167 of ENTCS, Elsevier, Amsterdam, 2007, pages 203-223
Chen, Qingliang and Su, Kaile and Zheng, Xizhong, Primitive recursiveness of real numbers under different representation, in: Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
Klaus (eds.), Proceedings of the Third International Conference on Computability
and Complexity in Analysis, vol. 167 of ENTCS, Elsevier, Amsterdam, 2007, pages 303-324
Chen, Qingliang and Su, Kaile and Zheng, Xizhong, Primitive recursive real numbers, MLQ53:4-5 (2007) 365-380
Collins, Pieter, Effective Computation for Nonlinear Systems, in: Cooper, S. Barry and Löwe, Benedikt and Sorbi, Andrea (eds.), Computation and Logic in the Real World, vol. 4497 of LNCS, Springer, Berlin, 2007, pages 169-178
Collins, Pieter, Optimal Semicomputable Approximations to Reachable and Invariant
Sets, Theory of Computing Systems41:1 (2007) 33-48
Costa, José Félix and Loff, Bruno and Mycka, Jerzy, The New Promise of Analog Computation, in: Cooper, S. Barry and Löwe, Benedikt and Sorbi, Andrea (eds.), Computation and Logic in the Real World, vol. 4497 of LNCS, Springer, Berlin, 2007, pages 189-195
de Miguel Casado, Gregorio and García Chamizo, Juan Manuel
and Signes Pont, María Teresa, Algebraic Model of an Arithmetic Unit for TTE-Computable Normalized
Rational Numbers, in: Cooper, S. Barry and Löwe, Benedikt and Sorbi, Andrea (eds.), Computation and Logic in the Real World, vol. 4497 of LNCS, Springer, Berlin, 2007, pages 218-227
Ding, Decheng and Weihrauch, Klaus and Wu, Yongcheng, Absolutely non-effective predicates and functions in Computable Analysis, in: Cai, Jin-Yi and Cooper, S. Barry and Zhou, Hong (eds.), Theory and Applications of Models of Computation, vol. 4484 of LNCS, 2007, pages 595-604
Edalat, Abbas, A Continuous Derivative for Real-Valued Functions, in: Cooper, S. Barry and Löwe, Benedikt and Sorbi, Andrea (eds.), Computation and Logic in the Real World, vol. 4497 of LNCS, Springer, Berlin, 2007, pages 248-257
Edalat, Abbas, A computable approach to measure and integration theory, in: LICS '07: Proceedings of the 22nd Annual IEEE Symposium on Logic
in Computer Science, IEEE Computer Society, Washington, DC, USA, 2007, pages 463-472
Edalat, Abbas and Pattinson, Dirk, A domain-theoretic account of Picard's theorem, LMS Journal of Computation and Mathematics10 (2007) 83-118
Escardó, Martín H. and Marcial-Romero, J. Raymundo, Semantics of a sequential language for exact real-number computation, TCS379 (2007) 120-141
Farjudian, Amin, SHRAD: A Language for Sequential Real Number Computation, Theory of Computing Systems41:1 (2007) 49-105
Ferreira, Fernando and Oliva, Paulo, Bounded functional interpretation and feasible analysis, APAL145:2 (2007) 115-129
Franklin, Johanna N.Y., Schnorr trivial reals: a construction, in: Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
Klaus (eds.), Proceedings of the Third International Conference on Computability
and Complexity in Analysis, vol. 167 of ENTCS, Elsevier, Amsterdam, 2007, pages 79-93
Gambino, Nicola and Schuster, Peter, Spatiality for formal topologies, MSCS17 (2007) 65-80
Geuvers, Herman and Niqui, Milad and Spitters, Bas and Wiedijk, Freek, Constructive analysis, types and exact real numbers, MSCS17 (2007) 3-36
Gherardi, Guido, Internal Computability, in: Cooper, S. Barry and Löwe, Benedikt and Sorbi, Andrea (eds.), Computation and Logic in the Real World, vol. 4497 of LNCS, Springer, Berlin, 2007, pages 348-357
Grubba, Tanja and Schröder, Matthias and Weihrauch, Klaus, Computable metrization, MLQ53:4-5 (2007) 381-395
Grubba, Tanja and Weihrauch, Klaus, On computable metrization, in: Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
Klaus (eds.), Proceedings of the Third International Conference on Computability
and Complexity in Analysis, vol. 167 of ENTCS, Elsevier, Amsterdam, 2007, pages 345-364
Ishihara, Hajime, Unique Existence and Computability in Constructive Reverse Mathematics, in: Cooper, S. Barry and Löwe, Benedikt and Sorbi, Andrea (eds.), Computation and Logic in the Real World, vol. 4497 of LNCS, Springer, Berlin, 2007, pages 368-377
Jiang, Wei and Wang, Yuan and Zucker, Jeffery, Universality and semicomputability for nondeterministic programming
languages over abstract algebras, JLAP71:1 (2007) 44-78
Ko, Ker-I and Yu, Fuxiang, Jordan Curves with Polynomial Inverse Moduli of Continuity, in: Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
Klaus (eds.), Proceedings of the Third International Conference on Computability
and Complexity in Analysis, vol. 167 of ENTCS, Elsevier, Amsterdam, 2007, pages 425-447
Ko, Ker-I and Yu, Fuxiang, On the complexity of computing the logarithm and square root functions
on a complex domain, JC23:1 (2007) 2-24
Ko, Ker-I and Yu, Fuxiang, Jordan curves with polynomial inverse moduli of continuity, TCS381:1-3 (2007) 148-161
Kohlenbach, Ulrich, Proof interpretations and the computational content of proofs in
mathematics, Bulletin of the EATCS93 (2007) 143-173
Kohlenbach, Ulrich and Leuçtean, Laurenţiu, The approximate fixed point property in product spaces, Nonlinear Analysis66 (2007) 806-818
Korovina, Margarita and Kudinov, Oleg, The Uniformity Principle for Σ-Definability with Applications
to Computable Analysis, in: Cooper, S. Barry and Löwe, Benedikt and Sorbi, Andrea (eds.), Computation and Logic in the Real World, vol. 4497 of LNCS, Springer, Berlin, 2007, pages 416-425
Køber, Petter K., Uniform domain representations of ℓ_p-spaces, MLQ180:2 (2007) 180-205
Lambov, Branimir, RealLib: An efficient implementation of exact real arithmetic, MSCS17 (2007) 81-98
Leuçtean, Laurenţiu, A quadratic rate of asymptotic regularity for CAT(0)-spaces, J. Math. Anal. Appl.325 (2007) 386-399
Loff, Bruno and Costa, José Félix and Mycka, Jerzy, Computability on reals, infinite limits and differential equations, Applied Mathematics and Computation191:2 (2007) 353-391
Lu, Hong and Weihrauch, Klaus, Computable Riesz representation for the dual of C[0;1], in: Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
Klaus (eds.), Proceedings of the Third International Conference on Computability
and Complexity in Analysis, vol. 167 of ENTCS, Elsevier, Amsterdam, 2007, pages 157-177
Lu, Hong and Weihrauch, Klaus, Computable Riesz representation for the dual of C[0;1], MLQ53:4-5 (2007) 415-430
Lubarsky, Robert S., On the Cauchy completeness of the constructive Cauchy reals, in: Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
Klaus (eds.), Proceedings of the Third International Conference on Computability
and Complexity in Analysis, vol. 167 of ENTCS, Elsevier, Amsterdam, 2007, pages 225-254
Lubarsky, Robert S., On the Cauchy completeness of the constructive Cauchy reals, MLQ53:4-5 (2007) 396-414
McNicholl, Timothy H., Computability and the implicit function theorem, in: Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
Klaus (eds.), Proceedings of the Third International Conference on Computability
and Complexity in Analysis, vol. 167 of ENTCS, Elsevier, Amsterdam, 2007, pages 3-15
Niqui, Milad, Productivity of Edalat-Potts Exact Arithmetic in Constructive
Type Theory, Theory of Computing Systems41:1 (2007) 127-154
O'Connor, Russel, A monadic, functional implementation of real numbers, MSCS17 (2007) 129-159
Ord, Toby and Kieu, Tien D., Ω in number theory, in: Calude, Cristian S. (ed.), Randomness and Complexity, World Scientific, Hackensack, NJ, 2007, pages 161-173
Rettinger, Robert, Computable Riemann Surfaces, in: Cooper, S. Barry and Löwe, Benedikt and Sorbi, Andrea (eds.), Computation and Logic in the Real World, vol. 4497 of LNCS, Springer, Berlin, 2007, pages 638-647
Sambin, Giovanni, Doing Without Turing Machines: Constructivism and Formal Topology, in: Cooper, S. Barry and Löwe, Benedikt and Sorbi, Andrea (eds.), Computation and Logic in the Real World, vol. 4497 of LNCS, Springer, Berlin, 2007, pages 674-675
Schröder, Matthias, Admissible representations of probability measures, in: Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
Klaus (eds.), Proceedings of the Third International Conference on Computability
and Complexity in Analysis, vol. 167 of ENTCS, Elsevier, Amsterdam, 2007, pages 61-78
Schröder, Matthias and Simpson, Alex, Two preservation results for countable products of sequential spaces, MSCS17 (2007) 161-172
Schuster, Peter, Problems as Solutions, in: Cooper, S. Barry and Löwe, Benedikt and Sorbi, Andrea (eds.), Computation and Logic in the Real World, vol. 4497 of LNCS, Springer, Berlin, 2007, pages 676-684
Schuster, Peter, Corrigendum to "Unique solutions", MLQ53:2 (2007) 214
Selivanov, Victor L., Hierarchies of Δ^0_2-measurable k-partitions, MLQ53:4-5 (2007) 446-461
Simpson, Stephen G., Almost everywhere domination and superhighness, MLQ53:4-5 (2007) 462-482
Simpson, Stephen G., Mass problems and almost everywhere domination, MLQ53:4-5 (2007) 483-492
Spandl, Christoph, Computing the topological entropy of shifts, in: Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
Klaus (eds.), Proceedings of the Third International Conference on Computability
and Complexity in Analysis, vol. 167 of ENTCS, Elsevier, Amsterdam, 2007, pages 131-155
Spandl, Christoph, Computing the topological entropy of shifts, MLQ53:4-5 (2007) 493-510
Tucker, John V. and Zucker, Jeffery I., Computability of analog networks, TCS371:1-2 (2007) 115-146
Weihrauch, Klaus and Zhong, Ning, Computable analysis of the abstract Cauchy problem in a Banach
space and its applications (I), in: Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
Klaus (eds.), Proceedings of the Third International Conference on Computability
and Complexity in Analysis, vol. 167 of ENTCS, Elsevier, Amsterdam, 2007, pages 33-59
Weihrauch, Klaus and Zhong, Ning, Computable analysis of the abstract Cauchy problem in a Banach
space and its applications I, MLQ53:4-5 (2007) 511-531
Xu, Yatao and Grubba, Tanja, Computability on Subsets of Locally Compact Spaces, in: Cai, J.-Y. and Cooper, S.B. and Zhu, H. (eds.), Theory and Applications of Models of Computation, vol. 4484 of LNCS, Springer, Berlin, 2007, pages 100-114
Yoshikawa, Atsushi, On computability of the Galerkin procedure, Proc. Japan Acad. Ser. A83:5 (2007) 69-72
Yu, Fuxiang, On the complexity of the pancake problem, in: Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
Klaus (eds.), Proceedings of the Third International Conference on Computability
and Complexity in Analysis, vol. 167 of ENTCS, Elsevier, Amsterdam, 2007, pages 95-115
Yu, Fuxiang, On the complexity of the pancake problem, MLQ53:4-5 (2007) 532-546
Zheng, Xizhong, Classification of the computable approximations by divergence boundings, in: Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
Klaus (eds.), Proceedings of the Third International Conference on Computability
and Complexity in Analysis, vol. 167 of ENTCS, Elsevier, Amsterdam, 2007, pages 325-344
Zheng, Xizhong, On the Hierarchies of Δ^0_2-Real Numbers, TIA41:1 (2007) 3-25
Zhong, Ning, Computable Analysis of a Boundary-Value Problem for the Korteweg-de
Vries Equation, Theory of Computing Systems41:1 (2007) 155-175
Ziegler, Martin, Revising type-2 computation and degrees of discontinuity, in: Cenzer, Douglas and Dillhage, Ruth and Grubba, Tanja and Weihrauch,
Klaus (eds.), Proceedings of the Third International Conference on Computability
and Complexity in Analysis, vol. 167 of ENTCS, Elsevier, Amsterdam, 2007, pages 255-274
Ziegler, Martin, (Short) Survey of Real Hypercomputation, in: Cooper, S. Barry and Löwe, Benedikt and Sorbi, Andrea (eds.), Computation and Logic in the Real World, vol. 4497 of LNCS, Springer, Berlin, 2007, pages 809-824
Ziegler, Martin, Real Hypercomputation and Continuity, Theory of Computing Systems41:1 (2007) 177-206
Ziegler, Martin, Real Computability and Hypercomputation, Habilitation Thesis, Department of Computer Science, University of Paderborn, Paderborn, Germany, 2007
2006
Avigad, Jeremy and Simic, Ksenija, Fundamental notions of analysis in subsystems of second-order arithmetic, APAL139 (2006) 138-184
Barmpalias, George, Random non-cupping revisited, JC22:6 (2006) 850-857
Battenfeld, Ingo and Schröder, Matthias and Simpson, Alex, Compactly generated domain theory, Mathematical Structures in Computer Science16:2 (2006) 141-161
Berger, Josef, The logical strength of the uniform continuity theorem, in: Beckmann, Arnold and Berger, Ulrich and Löwe, Benedikt and
Tucker, John V. (eds.), Logical Approaches to Computational Barriers, vol. 3988 of Lecture Notes in Computer Science, Springer, Berlin/Heidelberg, 2006, pages 35-39
Berger, Josef, The Logical Strength of the Uniform Continuity Theorem, in: Beckmann, A. and Berger, U. and Löwe, B. and Tucker, J.V. (eds.), Logical Approaches to Computational Barriers, vol. 3988 of LNCS, Springer, Berlin, 2006, pages 35-39
Berger, Josef and Bridges, Douglas S., A bizarre property equivalent to the Π^0_1-fan theorem, Logic Journal of the IGPL14 (2006) 867-871
Berger, Josef and Bridges, Douglas S. and Schuster, Peter, The fan theorem and unique existence of maxima, JSL71:2 (2006) 713-720
Berger, Josef and Schuster, Peter, Classifying Dini's Theorem, Notre Dame Journal of Formal Logic47:2 (2006) 253-262
Bournez, Olivier and Hainry, Emmanuel, Recursive Analysis Characterized as a Class of Real Recursive Functions, FI74:4 (2006) 409-433
Brattka, Vasco, Computable Versions of the Uniform Boundedness Theorem, in: Chatzidakis, Z. and Koepke, P. and Pohlers, W. (eds.), Logic Colloquium 2002, vol. 27 of Lecture Notes in Logic, Association for Symbolic Logic, Urbana, 2006, pages 130-151
Brattka, Vasco and Hertling, Peter and Ko, Ker-I and Tsuiki, Hideki (eds.), Computability and Complexity in Analysis, Selected Papers of the International Conference CCA 2005, held in
Kyoto, Japan, August 25-29, 2005, vol. 522 of JC, Elsevier, Amsterdam, 2006
Brattka, Vasco and Yoshikawa, Atsushi, Towards computability of elliptic boundary value problems in variational
formulation, JC22:6 (2006) 858-880
Braverman, M. and Yampolsky, M., Non-computable Julia sets, Journal of the American Mathematical Society19:3 (2006) 551-578
Braverman, Mark, Parabolic Julia sets are polynomial time computable, Nonlinearity19:6 (2006) 1383-1401
Braverman, Mark and Cook, Stephen A., Computing over the Reals: Foundations for Scientific Computing, Notices of the AMS53:3 (2006) 318-329
Bridges, Douglas S., Church's thesis and Bishop's constructivism, in: Olszewski, Adam (ed.), Church's Thesis After 70 Years, Ontos, Berlin, 2006, pages 58-65
Bridges, Douglas S. and Diener, Hannes, A constructive treatment of Urysohn's Lemma in an apartness space, MLQ52:5 (2006) 464-469
Bridges, Douglas S. and Havea, Robin and Schuster, Peter, Ideals in constructive Banach algebra theory, JC22:6 (2006) 729-737
Bridges, Douglas S. and Havea, Robin and Schuster, Peter, Constructive Banach algebra theory and the Nullstellensatz, Publ. Math. Debrecen69:1,2 (2006) 171-184
Bridges, Douglas S. and Ishihara, Hajime and Vîţă,
Luminiţa, A new constructive version of Baire's Theorem, Hokkaido Math. Journal35:1 (2006) 107-118
Bridges, Douglas S. and Schuster, Peter, A simple constructive proof of Kronecker's density theorem, Elemente der Mathematik61 (2006) 152-154
Bridges, Douglas S. and Vîţă, Luminiţa, Pre-apartness structures on spaces of functions, JC22:6 (2006) 881-893
Bridges, Douglas S. and Vîţă, Luminiţa Simona, Techniques of Constructive Analysis, Springer, New York, 2006
Brodhead, Paul and Cenzer, Douglas and Dashti, Seyyed, Random Closed Sets, in: Beckmann, A. and Berger, U. and Löwe, B. and Tucker, J.V. (eds.), Logical Approaches to Computational Barriers, vol. 3988 of LNCS, Springer, Berlin, 2006, pages 55-64
Chernavskya, A.V. and Leksineb, V.P., Unrecognizability of manifolds, APAL141:3 (2006) 447-455
Ciaffaglione, Alberto and Di Gianantonio, Pietro, A certified, corecursive implementation of exact real numbers, TCS351:1 (2006) 39-51
Dahlgren, Fredrik, Partial Continuous Functions and Admissible Domain Representations, in: Beckmann, A. and Berger, U. and Löwe, B. and Tucker, J.V. (eds.), Logical Approaches to Computational Barriers, vol. 3988 of LNCS, Springer, Berlin, 2006, pages 94-104
De Jaeger, Frédéric and Escardó, Martín
and Santini, Gabriele, On the computational content of the Lawson topology, TCS357:1-3 (2006) 230-240
Doty, David and Lutz, Jack H. and Nandakumar, Satyadev, Finite-state dimension and real arithmetic, in: Automata, languages and programming. Part I, vol. 4051 of Lecture Notes in Comput. Sci., Springer, Berlin, 2006, pages 537-547
Downey, Rodney and Merkle, Wolfgang and Reimann, Jan, Schnorr dimension, MSCS16:5 (2006) 789-811
Ferreira, Fernando and Ferreira, Gilda, Counting as integration in feasible analysis, MLQ52:3 (2006) 315-320
Figueira, Santiago and Stephan, Frank and Wu, Guohua, Randomness and universal machines, JC22:6 (2006) 738-751
Gerhardy, Philipp, Applications of Proof Interpretations, PhD thesis, Department of Computer Science, University of Aarhus, Denmark, Aarhus, 2006
Gerhardy, Philipp, A quantitative version of Kirk's fixed point theorem for asymptotic
contractions, J. Math. Anal. Appl.316 (2006) 339-345
Gerhardy, Philipp and Kohlenbach, Ulrich, Strongly uniform bounds from semi-constructive proofs, APAL141:1-2 (2006) 89-107
Gherardi, Guido, An Analysis of the Lemmas of Urysohn and Urysohn-Tietze According
to Effective Borel Measurability, in: Beckmann, A. and Berger, U. and Löwe, B. and Tucker, J.V. (eds.), Logical Approaches to Computational Barriers, vol. 3988 of LNCS, Springer, Berlin, 2006, pages 199-208
Gherardi, Guido, Effective Borel degrees of some topological functions, MLQ52:6 (2006) 625-642
Gherardi, Guido, Some Results in Computable Analysis and Effective Borel Measurability, PhD thesis, University of Siena, Department of Mathematics and Computer Science, Siena, 2006
Gu, Xiaoyang and Lutz, Jack H. and Mayordomo, Elvira, Points on computable curves, in: 47th Annual IEEE Symposium on Foundations of Computer Science, IEEE Computer Society Press, 2006, pages 469-474
Hainry, Emmanuel, Modèles de calcul sur les réels résultats de comparaisons, PhD thesis, l'Institut National Polytechnique de Lorraine, 2006
Hayashi, Susumu, Mathematics based on incremental learning-Excluded middle and inductive
inference, TCS350 (2006) 125-139
Hemmerling, Armin, The Hausdorff-Ershov Hierarchy in Euclidean Spaces, AML45 (2006) 323-350
Hou, Tie, Coinductive Proofs for Basic Real Computation, in: Beckmann, A. and Berger, U. and Löwe, B. and Tucker, J.V. (eds.), Logical Approaches to Computational Barriers, vol. 3988 of LNCS, Springer, Berlin, 2006, pages 221-230
Kohlenbach, Ulrich, A Logical Uniform Boundedness Principle for Abstract Metric and Hyperbolic
Spaces, in: Mints, Grigori and de Queiroz, Ruy (eds.), Logic, Language, Information and Computation, vol. 165 of ENTCS, Elsevier, Amsterdam, 2006, pages 81-93
Lambov, Branimir, The basic feasible functionals in computable analysis, JC22:6 (2006) 909-917
Leuçtean, Laurenţiu, Proof Mining in R-trees and Hyperbolic Spaces, in: Mints, Grigori and de Queiroz, Ruy (eds.), Logic, Language, Information and Computation, vol. 165 of ENTCS, Elsevier, Amsterdam, 2006, pages 95-106
Lewis, Andrew E.M. and Barmpalias, George, Random reals and Lipschitz continuity, MSCS16:5 (2006) 737-749
Mycka, Jerzy and Costa, José Félix, The P≠NP conjecture in the context of real and complex analysis, JC22:2 (2006) 287-303
Mylatz, Uwe, Vergleich unstetiger Funktionen: "Principle of Omniscience"
und Vollständigkeit in der C-Hierarchie, Ph.D. thesis, Faculty for Mathematics and Computer Science, University Hagen, Hagen, Germany, 2006
Ng, Keng Meng and Stephan, Frank and Wu, Guohua, Degrees of Weakly Computable Reals, in: Beckmann, A. and Berger, U. and Löwe, B. and Tucker, J.V. (eds.), Logical Approaches to Computational Barriers, vol. 3988 of LNCS, Springer, Berlin, 2006, pages 413-422
Niqui, Milad, Coinductive field of exact real numbers and general corecursion, in: Proceedings of the Eighth Workshop on Coalgebraic Methods
in Computer Science (CMCS 2006), vol. 164 of Electron. Notes Theor. Comput. Sci., Elsevier, Amsterdam, 2006, pages 121-139 (electronic)
Németi, István and Gyula, Dávid, Relativistic computers and the Turing barrier, Applied Mathematics and Computation178:1 (2006) 118-142
Parker, Matthew W., Three concepts of decidability for general subsets of uncountable
spaces, TCS351:1 (2006) 2-13
Peshev, Peter and Skordev, Dimiter, A Subrecursive Refinement of the Fundamental Theorem of Algebra, in: Beckmann, A. and Berger, U. and Löwe, B. and Tucker, J.V. (eds.), Logical Approaches to Computational Barriers, vol. 3988 of LNCS, Springer, Berlin, 2006, pages 435-444
Potgieter, Petrus H., Zeno machines and hypercomputation, TCS358:1 (2006) 23-33
Rettinger, Robert and Zheng, Xizhong, A hierarchy of Turing degrees of divergence bounded computable
real numbers, JC22:6 (2006) 818-826
Ross, David A., A nonstandard proof of a lemma from constructive measure theory, MLQ52:5 (2006) 494-497
Schröder, Matthias, Admissible Representations in Computable Analysis, in: Beckmann, A. and Berger, U. and Löwe, B. and Tucker, J.V. (eds.), Logical Approaches to Computational Barriers, vol. 3988 of LNCS, Springer, Berlin, 2006, pages 471-480
Schröder, Matthias and Simpson, Alex, Representing probability measures using probabilistic processes, JC22:6 (2006) 768-782
Schwichtenberg, Helmut, Inverting Monotone Continuous Functions in Constructive Analysis, in: Beckmann, A. and Berger, U. and Löwe, B. and Tucker, J.V. (eds.), Logical Approaches to Computational Barriers, vol. 3988 of LNCS, Springer, Berlin, 2006, pages 490-504
Simonsen, Jakob G., On local non-compactness in recursive mathematics, MLQ52:4 (2006) 323-330
Spitters, Bas, A constructive view on ergodic theorems, JSL71:2 (2006) 611-623
Tadaki, Kohtaro, An extension of Chaitin's halting probability Ω to a measurement
operator in an infinite dimensional quantum system, MLQ52:5 (2006) 419-438
Terwijn, Sebastiaan A., Learning and computing in the limit, in: Logic Colloquium '02, vol. 27 of Lect. Notes Log., Assoc. Symbol. Logic, La Jolla, CA, 2006, pages 349-359
van der Hoeven, Joris, Effective Real Numbers in Mmxlib, in: Dumas, Jean-Guillaume (ed.), International Conference on Symbolic and Algebraic Computation, ACM Press, 2006, pages 138-145
van der Hoeven, Joris, Computations with effective real numbers, TCS351:1 (2006) 52-60
Wu, Yongcheng and Ding, Decheng, Computability of measurable sets via effective topologies, AML45:3 (2006) 365-379
Wu, Yongcheng and Weihrauch, Klaus, A computable version of the Daniell-Stone theorem on integration
and linear functionals, TCS359:1-3 (2006) 28-42
Yoshida, Satoru, Generalized functions with pseudobounded support in constructive
mathematics, JC22:6 (2006) 783-802
Yu, Fuxiang and Chou, Arthur and Ko, Ker-I, On the complexity of finding circumscribed rectangles and squares
for a two-dimensional domain, JC22:6 (2006) 803-817
Zheng, Xizhong, A Computability Theory of Real Numbers, in: Beckmann, A. and Berger, U. and Löwe, B. and Tucker, J.V. (eds.), Logical Approaches to Computational Barriers, vol. 3988 of LNCS, Springer, Berlin, 2006, pages 584-594
Zheng, Xizhong and Lub, Dianchen and Bao, Kejin, Divergence bounded computable real numbers, TCS351:1 (2006) 27-38
Ziegler, Martin, Stability versus speed in a computable algebraic model, TCS351:1 (2006) 14-26
Ziegler, Martin, Effectively open real functions, JC22:6 (2006) 827-849
2005
Akama, Yohji and Iizuka, Shinji, Real number representations of graph-directed IFS attractors, in: Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
Klaus (eds.), Computability and Complexity in Analysis, vol. 326 of Informatik Berichte, FernUniversität in Hagen, 2005, pages 3-24
Avigad, Jeremy, Weak theories of nonstandard arithmetic and analysis, in: Simpson, Stephen (ed.), Reverse Mathematics 2001, LNL, Association for Symbolic Logic, La Jolla, 2005, pages 19-46
Badaev, Serikzhan and Spreen, Dieter, A note on partial numberings, MLQ51:2 (2005) 129-136
Baroni, Marian Alexandru, Constructive Suprema, JUCS11:12 (2005) 1865-1877
Bauer, Andrej and Taylor, Paul, The Dedekind reals in abstract Stone duality, in: Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
Klaus (eds.), Computability and Complexity in Analysis, vol. 326 of Informatik Berichte, FernUniversität in Hagen, 2005, pages 25-64
Beeson, Michael, Constructivity, Computability, and the Continuum, in: Sica, Giandomenico (eds.), Essays on the Foundations of Mathematics and Logic, vol. 2 of Advanced Studies in Mathematics and Logic, Polimetrica, Milano, 2005, pages 9-37
Berger, Josef, The fan theorem and uniform continuity, in: Cooper, S. Barry and Löwe, Benedikt and Torenvliet, Leen (eds.), New Computational Paradigms, vol. 3526 of LNCS, Springer-Verlag, Berlin, Heidelberg, 2005, pages 18-22
Berger, Josef, Exact calculation of inverse functions, MLQ51:2 (2005) 201-205
Berger, Josef, Constructive Equivalents of the Uniform Continuity Theorem, JUCS11:12 (2005) 1878-1883
Berger, Josef and Ishihara, Hajime, Brouwer's fan theorem and unique existence in constructive analysis, MLQ51:4 (2005) 360-364
Boehm, Hans-J., The constructive reals as a Java library, JLAP64 (2005) 3-11
Bournez, Olivier and Hainry, Emmanuel, Elementarily computable functions over the real numbers and R-sub-recursive
functions, TCS348 (2005) 130-147
Brattka, Vasco, On the Borel Complexity of Hahn-Banach Extensions, in: Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus (eds.), Proceedings of the 6th Workshop on Computability and Complexity in
Analysis, vol. 120 of ENTCS, Elsevier, Amsterdam, 2005, pages 3-16
Brattka, Vasco, Computability on Non-Separable Banach Spaces and Landau's Theorem, in: Crosilla, Laura and Schuster, Peter (eds.), From Sets and Types to Topology and Analysis: Towards Practicable
Foundations for Constructive Mathematics, Oxford University Press, 2005, pages 316-333
Brattka, Vasco, Effective Borel measurability and reducibility of functions, MLQ51:1 (2005) 19-44
Brattka, Vasco and Schröder, Matthias, Computing with Sequences, Weak Topologies and the Axiom of Choice, in: Ong, Luke (ed.), Computer science logic, vol. 3634 of LNCS, Springer, 2005, pages 462-476
Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus (eds.), Proceedings of the 6th Workshop on Computability and Complexity in
Analysis, 6th International Workshop, CCA 2004, Wittenberg, Germany, August
16-20, 2004, vol. 120 of ENTCS, Elsevier, Amsterdam, 2005
Braverman, Mark, Hyperbolic Julia Sets are Poly-Time Computable, in: Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus (eds.), Proceedings of the 6th Workshop on Computability and Complexity in
Analysis, vol. 120 of ENTCS, Elsevier, Amsterdam, 2005, pages 17-30
Braverman, Mark, On the Complexity of Real Functions, in: Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer
Science, FOCS '05, IEEE Computer Society, Washington, DC, USA, 2005, pages 155-164
Bridges, Douglas S. and Ishihara, Hajime and Schuster, Peter and
Vîţă, Luminiţa S., Strong continuity implies uniform sequential continuity, Archive for Mathematical Logic44:7 (2005) 887-895
Bridges, Douglas S. and Vîţă, Luminiţa, A general constructive proof technique, in: Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus (eds.), Proceedings of the 6th Workshop on Computability and Complexity in
Analysis, vol. 120 of ENTCS, Elsevier, Amsterdam, 2005, pages 31-43
Bridges, Douglas S. and Vîţă, Luminiţa, An extension theorem for ultraweakly continuous linear functionals
on B(X,Y), in: Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
Klaus (eds.), Computability and Complexity in Analysis, vol. 326 of Informatik Berichte, FernUniversität in Hagen, 2005, pages 77-89
Bridges, Douglas S. and Vîţă, Luminiţa, Proximal connectedness, in: Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
Klaus (eds.), Computability and Complexity in Analysis, vol. 326 of Informatik Berichte, FernUniversität in Hagen, 2005, pages 91-101
Calude, Cristian S. and Staiger, Ludwig, Generalisations of disjunctive sequences, MLQ51:2 (2005) 120-128
Chou, Arthur W. and Ko, Ker-I, On the complexity of finding paths in a two-dimensional domain II:
Picewise straight-line paths, in: Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus (eds.), Proceedings of the 6th Workshop on Computability and Complexity in
Analysis, vol. 120 of ENTCS, Elsevier, Amsterdam, 2005, pages 45-57
Chou, Arthur W. and Ko, Ker-I, The computational complexity of distance functions of two-dimensional
domains, TCS337 (2005) 360-369
Collins, Pieter, Continuity and computability on reachable sets, TCS341 (2005) 162-195
Coquand, Thierry, Formal Topology and Constructive Mathematics: the Gelfand and Stone-Yosida
Representation Theorems, JUCS11:12 (2005) 1932-1944
Edalat, Abbas and Khanban, Ali A. and Lieutier, André, Computability in Computational Geometry, in: Cooper, Barry S. and Löwe, Benedikt and Torenvliet, Leen (eds.), New Computational Paradigms, vol. 3526 of LNCS, Springer, Berlin, 2005, pages 117-127
Esposti, Mirko Degli and Galatolo, Stefano, Recurrence near given sets and the complexity of the Casati-Prosen
map, Chaos Solitons Fractals23:4 (2005) 1275-1284
Graça, Daniel Silva and Campagnolo, Manuel L. and Buescu, Jorge, Robust Simulations of Turing Machines with Analytic Maps and Flows, in: Cooper, S. Barry and Löwe, Benedikt and Torenvliet, Leen (eds.), New Computational Paradigms, vol. 3526 of LNCS, Springer, Berlin, 2005, pages 169-179
Grubba, Tanja and Weihrauch, Klaus, A computable version of Dini's Theorem for topological spaces, in: Yolum, Pinar and Güngör, Tunga and Gürgen, Fikret and
Özturan, Can (eds.), Computer and Information Sciences - ISCIS 2005, vol. 3733 of LNCS, Springer, Berlin, 2005, pages 927-936
Gács, Peter, Uniform test of algorithmic randomness over a general space, TCS341 (2005) 91-137
Havea, Robin Siale, On Firmness of the State Space and Positive Elements of a Banach
Algebra, JUCS11:12 (2005) 1963-1969
Hemmerling, Armin, Hierarchies of Function Classes Defined by the First-Value Operator
(Extended Abstract), in: Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus (eds.), Proceedings of the 6th Workshop on Computability and Complexity in
Analysis, vol. 120 of ENTCS, Elsevier, Amsterdam, 2005, pages 59-72
Hertling, Peter, Is the Mandelbrot set computable?, MLQ51:1 (2005) 5-18
Hertling, Peter, Nonrandom sequences between random sequences, Journal of Universal Computer Science11:12 (2005) 1970-1985 (electronic)
Iris Loeb, Equivalents of the (Weak) Fan Theorem, Annals of Pure and Applied Logic132:1 (2005) 51-66
Ishihara, Hajime, Constructive reverse mathematics: compactness properties, in: Crosilla, Laura and Schuster, Peter (eds.), From Sets and Types to Topology and Analysis: Towards Practicable
Foundations for Constructive Mathematics, Oxford University Press, 2005, pages 245-267
Kamo, Hiroyasu, Effective Dini's Theorem on Effectively Compact Metric Spaces, in: Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus (eds.), Proceedings of the 6th Workshop on Computability and Complexity in
Analysis, vol. 120 of ENTCS, Elsevier, Amsterdam, 2005, pages 73-82
Kamo, Hiroyasu, Computability and computable uniqueness of Urysohn's universal
metric space, in: Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
Klaus (eds.), Computability and Complexity in Analysis, vol. 326 of Informatik Berichte, FernUniversität in Hagen, 2005, pages 149-159
Kawamura, Akitoshi, Type-2 Computability and Moore's Recursive Functions, in: Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus (eds.), Proceedings of the 6th Workshop on Computability and Complexity in
Analysis, vol. 120 of ENTCS, Elsevier, Amsterdam, 2005, pages 83-95
Kenny, Robert, Orbit Complexity and Entropy for Group Endomorphisms, in: Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus (eds.), Proceedings of the 6th Workshop on Computability and Complexity in
Analysis, vol. 120 of ENTCS, Elsevier, Amsterdam, 2005, pages 97-110
Kieu, Tien D., Mathematical computability questions for some classes of linear and
non-linear differential equations originated from Hilbert's Tenth
Problem, in: Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
Klaus (eds.), Computability and Complexity in Analysis, vol. 326 of Informatik Berichte, FernUniversität in Hagen, 2005, pages 161-168
Kohlenbach, Ulrich, Higher order reverse mathematics, in: Simpson, Stephen G. (ed.), Reverse Mathematics 2001, vol. 21 of Lecture Notes in Logic, A K Peters, Wellesley, 2005, pages 281-295
Kohlenbach, Ulrich, Some logical metatheorems with applications in functional analysis, TAMS357 (2005) 89-128
Kohlenbach, Ulrich, Some computational aspects of metric fixed point theory, Nonlinear Analysis61 (2005) 823-837
Korovina, Margarita and Kudinov, Oleg, Towards Computability of Higher Type Continuous Data, in: Cooper, Barry S. and Löwe, Benedikt and Torenvliet, Leen (eds.), New Computational Paradigms, vol. 3526 of LNCS, Springer, Berlin, 2005, pages 235-241
Kunkle, Daren and Schröder, Matthias, Some Examples of Non-Metrizable Spaces Allowing a Simple Type-2 Complexity
Theory, in: Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus (eds.), Proceedings of the 6th Workshop on Computability and Complexity in
Analysis, vol. 120 of ENTCS, Elsevier, Amsterdam, 2005, pages 111-123
Lambov, Branimir, Rates of Convergence of Recursively Defined Sequences, in: Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus (eds.), Proceedings of the 6th Workshop on Computability and Complexity in
Analysis, vol. 120 of ENTCS, Elsevier, Amsterdam, 2005, pages 125-133
Lambov, Branimir, RealLib: an efficient implementation of Exact Real Arithmetic, in: Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
Klaus (eds.), Computability and Complexity in Analysis, vol. 326 of Informatik Berichte, FernUniversität in Hagen, 2005, pages 169-175
Lambov, Branimir, Topics in the Theory and Practice of Computable Analysis, PhD thesis, Department of Computer Science, University of Aarhus, Denmark, Aarhus, 2005
Li, C. and Pion, S. and Yap, C.K., Recent progress in exact geometric computation, JLAP64 (2005) 85-111
Lutz, Jack H., Effective fractal dimensions, MLQ51:1 (2005) 62-72
Mori, Takakazu and Tsujii, Yoshiki and Yasugi, Mariko, Fine computable functions and effective Fine convergence, in: Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
Klaus (eds.), Computability and Complexity in Analysis, vol. 326 of Informatik Berichte, FernUniversität in Hagen, 2005, pages 177-197
Mycka, Jerzy, Real recursive functions and Baire classes, FI65:3 (2005) 263-278
Mycka, Jerzy and Costa, José Félix, The computational power of continuous dynamic systems, in: Maurice Margenstern (ed.), Machines, Computations, Universality, vol. 3354 of LNCS, Springer, Berlin, 2005, pages 163-174
Ménissier-Morain, Valérie, Arbitrary precision real arithmetic: design and algorithms, JLAP64 (2005) 13-39
Nakamura, Masahiro, Ergodic theorems for algorithmically random sequences, in: Dinneen, Michael J. and Speidel, Ulrich and Taylor, Desmond P. (eds.), Proceedings of the IEEE ITSOC Information Theory Workshop 2005
on Coding and Complexity ITW 2005, 2005, pages 147-150
Niqui, Milad, Formalising Exact Arithmetic in Type Theory, in: Cooper, Barry S. and Löwe, Benedikt and Torenvliet, Leen (eds.), New Computational Paradigms, vol. 3526 of LNCS, Springer, Berlin, 2005, pages 368-377
Pattinson, Dirk, Domain-Theoretic Formulation of Linear Boundary Value Problems, in: Cooper, Barry S. and Löwe, Benedikt and Torenvliet, Leen (eds.), New Computational Paradigms, vol. 3526 of LNCS, Springer, Berlin, 2005, pages 385-395
Raichev, Alexander, Relative Randomness and Real Closed Fields, in: Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus (eds.), Proceedings of the 6th Workshop on Computability and Complexity in
Analysis, vol. 120 of ENTCS, Elsevier, Amsterdam, 2005, pages 135-143
Rettinger, Robert, A fast algorithm for Julia sets of hyperbolic rational functions, in: Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus (eds.), Proceedings of the 6th Workshop on Computability and Complexity in
Analysis, vol. 120 of ENTCS, Elsevier, Amsterdam, 2005, pages 145-157
Rettinger, Robert and Zheng, Xizhong, On the Turing Degrees of Divergence Bounded Computable Reals, in: Cooper, S. Barry and Löwe, Benedikt and Torenvliet, Leen (eds.), New Computational Paradigms, vol. 3526 of LNCS, Springer, Berlin, 2005, pages 418-428
Rettinger, Robert and Zheng, Xizhong, Solovay reducibility on d-c.e. real numbers, in: Wang, Lusheng (ed.), Computing and Combinatorics, vol. 3595 of LNCS, Springer, Berlin, 2005, pages 359-368
Schuster, Peter, What is Continuity, Constructively?, JUCS11:12 (2005) 2076-2085
Schwichtenberg, Helmut, A Direct Proof of the Equivalence between Brouwer's Fan Theorem
and König's Lemma with a Uniqueness Hypothesis, JUCS11:12 (2005) 2086-2095
Selivanov, Victor L., Variations on Wadge Reducibility (Extended Abstract), in: Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus (eds.), Proceedings of the 6th Workshop on Computability and Complexity in
Analysis, vol. 120 of ENTCS, Elsevier, Amsterdam, 2005, pages 159-171
Selivanov, Victor L., Hierarchies in φ-spaces and applications, MLQ51:1 (2005) 45-61
Selivanov, Victor L., Variations on the Wadge reducibility, Siberian Advances in Math.15:3 (2005) 44-80
Selivanov, Victor L., Classifying countable Boolean terms, Algebra and Logic44:2 (2005) 95-108
Simonsen, Jakob G., Specker sequences revisited, MLQ51:5 (2005) 532-540
Sofroniou, Mark and Spaletta, Giulia, Precise numerical computation, JLAP64 (2005) 113-134
Spitters, Bas, Constructive Results on Operator Algebras, JUCS11:12 (2005) 2096-2113
Spreen, Dieter, Strong reducibilities for partial numberings, AML44:3 (2005) 209-217
Stephan, Frank and Wu, Guohua, Presentations of K-Trivial Reals and Kolmogorov Complexity, in: Cooper, S. Barry and Löwe, Benedikt and Torenvliet, Leen (eds.), New Computational Paradigms, First Conference on Computability in
Europe, CiE 2005, Amsterdam, The Netherlands, June 8-12, 2005, Proceedings, vol. 3526 of Lecture Notes in Computer Science, Springer, 2005, pages 461-469
Takeuti, Izumi, Transition Systems over Continuous Time-Space, in: Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus (eds.), Proceedings of the 6th Workshop on Computability and Complexity in
Analysis, vol. 120 of ENTCS, Elsevier, Amsterdam, 2005, pages 173-186
Taylor, Paul, A lambda calculus for real analysis, in: Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
Klaus (eds.), Computability and Complexity in Analysis, vol. 326 of Informatik Berichte, FernUniversität in Hagen, 2005, pages 227-266
Tsuiki, Hideki, Real number computation with committed choice logic programming languages, JLAP64 (2005) 61-84
Tsujii, Yoshiki and Yasugi, Mariko and Mori, Takakazu, Sequential Computability of a Function: Diagonal Space and Limiting
Recursion, in: Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus (eds.), Proceedings of the 6th Workshop on Computability and Complexity in
Analysis, vol. 120 of ENTCS, Elsevier, Amsterdam, 2005, pages 187-199
Tucker, J.V. and Zucker, J.I., Computable total functions on metric algebras, universal algebraic
specifications and dynamical systems, JLAP62 (2005) 71-108
Tucker, John V. and Zucker, Jeffery I., A Network Model of Analogoue Computation over Metric Algebras, in: Cooper, Barry S. and Löwe, Benedikt and Torenvliet, Leen (eds.), New Computational Paradigms, vol. 3526 of LNCS, Springer, Berlin, 2005, pages 515-529
van Dalen, Dirk, How the Mathematical Objects Determine the Mathematical Principles, JUCS11:12 (2005) 2132-2141
Vîţă, Luminiţa Simona, On Complements of Sets and the Efremovič Condition in Pre-apartness
Spaces, JUCS11:12 (2005) 2159-2164
Waaldijk, Frank, On the foundations of constructive mathematics - especially in relation
to the theory of continuous functions, Foundations of Science10:3 (2005) 249-324
Weihrauch, Klaus, Multi-functions on multi-represented sets are closed under flowchart
programming, in: Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
Klaus (eds.), Computability and Complexity in Analysis, vol. 326 of Informatik Berichte, FernUniversität in Hagen, 2005, pages 267-300
Weihrauch, Klaus and Zhong, Ning, An Algorithm for Computing Fundamental Solutions, in: Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus (eds.), Proceedings of the 6th Workshop on Computability and Complexity in
Analysis, vol. 120 of ENTCS, Elsevier, Amsterdam, 2005, pages 201-215
Weihrauch, Klaus and Zhong, Ning, Computing the solution of the Korteweg-de Vries equation with
arbitrary precision on Turing machines, TCS332:1-3 (2005) 337-366
Wu, Guohua, Regular reals, MLQ51:2 (2005) 111-119
Wu, Yongcheng and Ding, Decheng, Computability of measurable sets via effective metrics, MLQ51:6 (2005) 543-559
Yasugi, Mariko and Mori, Takakazu and Tsujii, Yoshiki, Effective sequence of uniformities and its effective limit, in: Grubba, Tanja and Hertling, Peter and Tsuiki, Hideki and Weihrauch,
Klaus (eds.), Computability and Complexity in Analysis, vol. 326 of Informatik Berichte, FernUniversität in Hagen, 2005, pages 301-318
Yasugi, Mariko and Tsujii, Yoshiki, Computability of a function with jumps - Effective uniformity and
limiting recursion, TOPA146-147 (2005) 563-582
Yasugi, Mariko and Tsujii, Yoshiki and Mori, Takakazu, Sequential Computability of a Function. Effective Fine Space and
Limiting Recursion, JUCS11:12 (2005) 2179-2191
Yongcheng Wu and Klaus Weihrauch, A Computable Version of the Daniell-Stone Theorem on Integration
and Linear Functionals, in: Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus (eds.), Proceedings of the 6th Workshop on Computability and Complexity in
Analysis, vol. 120 of ENTCS, Elsevier, Amsterdam, 2005, pages 217-230
Yoshida, Satoru, The constructive completion of the space D(R), MLQ51:1 (2005) 77-82
Zheng, Xizhong and Rettinger, Robert, A Note On the Turing Degrees of Divergence Bounded Computable Reals, in: Brattka, Vasco and Staiger, Ludwig and Weihrauch, Klaus (eds.), Proceedings of the 6th Workshop on Computability and Complexity in
Analysis, vol. 120 of ENTCS, Elsevier, Amsterdam, 2005, pages 231-237
Zheng, Xizhong and Rettinger, Robert, On the extensions of Solovay Reducibility, in: Chwa, Kyung-Yong and Munro, J. Ian (eds.), Computing and Combinatorics, vol. 3106 of LNCS, Springer, Berlin, 2005, pages 360-369
Zheng, Xizhong and Rettinger, Robert, Effective Jordan decomposition, Theory of Computing Systems38:2 (2005) 189-209
Zheng, Xizhong and Rettinger, Robert and Gengler, Romain, Closure properties of real number classes under CBV functions, Theory of Computing Systems38 (2005) 701-729
Zhong, Ning, Computable Analysis of a Non-homogeneous Boundary-Value Problem for
the Korteweg-de Vries Equation, in: Cooper, S. Barry and Löwe, Benedikt and Torenvliet, Leen (eds.), New Computational Paradigms, vol. 3526 of LNCS, Springer, Berlin, 2005, pages 552-561
Zhou, Qing and Hu, Weihao, Decidability in Analysis, COMP75 (2005) 319-336
Ziegler, Martin, Computability and Continuity on the Real Arithmetic Hierarchy and
the Power of Type-2 Nondeterminism, in: Cooper, Barry S. and Löwe, Benedikt and Torenvliet, Leen (eds.), New Computational Paradigms, vol. 3526 of LNCS, Springer, Berlin, 2005, pages 562-571
Barmpalias, George, Approximation representations for reals and their wtt-degrees, MLQ50:4,5 (2004) 370-380
Barmpalias, George, Approximation representations for Δ_2 reals, AML43:8 (2004) 947-964
Barmpalias, Georgios, Computability and Applications to Analysis, PhD thesis, University of Leeds, School of Mathematics, Leeds, 2004
Bauer, Andrej and Birkedal, Lars and Scott, Dana S., Equilogical spaces, TCS315 (2004) 35-59
Bauer, Andrej and Simpson, Alex, Two constructive embedding-extension theorems with applications to
continuity principles and to Banach-Mazur computability, MLQ50:4,5 (2004) 351-369
Becher, Verónica and Grigorieff, Serge, Recursion and topology on 2^≤ω for possibly infinite
computations, TCS322:1 (2004) 85-136
Benci, V. and Bonanno, C. and Galatolo, S. and Menconi, G. and Virgilio,
M., Dynamical systems and computable information, Discrete and Continuous Dynamical Systems B4:4 (2004) 935-960
Bonanno, Claudio and Galatolo, Stefano and Isola, Stefano, Recurrence and algorithmic information, NONL17:3 (2004) 1057-1074
Brattka, Vasco, Du 13-ième problème de Hilbert à la théorie des
réseaux de neurones : aspects constructifs du théorème
de superposition de Kolmogorov, in: Charpentier, Éric and Lesne, Annick and Nikolski, Nikolaï (eds.), L'héritage de Kolmogorov en mathématiques, Éditions Belin, Paris, 2004, pages 241-268
Brattka, Vasco and Hertling, Peter and Ko, Ker-I and Zhong, Ning (eds.), Special Issue Computability and Complexity in Analysis, Selected Papers of the International Conference CCA 2003, held in
Cincinnati, Ohio, August 28-30, 2003, vol. 50 of MLQ, Wiley-VCH, Weinheim, 2004
Breutzmann, Josef M. and Juedes, David W. and Lutz, Jack H., Baire category and nowhere differentiability for feasible real functions, MLQ50:4,5 (2004) 460-472
Bridges, Douglas S., First steps in constructive game theory, MLQ50:4,5 (2004) 501-506
Bridges, Douglas S., Constructivity in Mathematics, Cubo6:1 (2004) 209-258
Bridges, Douglas S., Constructive complements of unions of two closed sets, MLQ50:3 (2004) 293-294
Bridges, Douglas S. and Ishihara, Hajime and Vîţă,
Luminiţa, Computing infima on convex sets, with applications in Hilbert spaces, Proceedings of the American Mathematical Society132:9 (2004) 2723-2732
Bridges, Douglas S. and Mines, Ray and Richman, Fred and Schuster,
Peter, The polydisk Nullstellensatz, Proceedings of the American Mathematical Society132:7 (2004) 2133-2140
Bridges, Douglas S. and Vîţă, Luminiţa, Corrigendum to: "A proof-technique in uniform space theory", JSL69:1 (2004) 328
Chou, Arthur W. and Ko, Ker-I, On the complexity of finding paths in a two-dimensional domain I:
Shortest paths, MLQ50:6 (2004) 551-572
Dahlgren, Fredrik, Computability and continuity in metric partial algebras equipped
with computability structures, MLQ50:4,5 (2004) 486-500
Davis, Martin, The myth of hypercomputation, in: Teuscher, Christof (ed.), Alan Turing: Life and Legacy of a Great Thinker, Springer, Berlin, Heidelberg, 2004, pages 195-211
Downey, Rod and Wu, Guohua and Zheng, Xizhong, Degrees of d.c.e. reals, MLQ50:4,5 (2004) 345-350
Downey, Rod G. and Griffiths, Evan J. and LaForte, Geoffrey L., On Schnorr and computable randomness, martingales, and machines, MLQ50:6 (2004) 613-627
Graça, Daniel Silva, Some recent developments on Shannon's General Purpose Analog Computer, MLQ50:4,5 (2004) 473-485
Hemmerling, Armin, Characterizations of the class Δ_2^ta over Euclidean
spaces, MLQ50:4,5 (2004) 507-519
Ishihara, Hajime and Schuster, Peter, Compactness under constructive scrutiny, MLQ50:6 (2004) 540-550
Kalantari, Iraj and Welch, Larry, Density and Baire category in recursive topology, MLQ50:4,5 (2004) 381-391
Kohlenbach, Ulrich and Lambov, Branimir, Bounds on iterations of asymptotically quasi-nonexpansive mappings, in: Falset, J.G. and Fuster, E.L. and Sims, B. (eds.), Proceedings of the International Conference on Fixed Point Theory
and Applications, Yokohama Publishers, 2004, pages 143-172
Konečný, Michal, Real functions incrementally computable by finite automata, TCS315 (2004) 109-133
Kreinovich, Vladik and Longpré, Luc, Fast quantum algorithms for handling probabilistic and interval uncertainty, MLQ50:4,5 (2004) 405-416
Kunkle, Daren, Type-2 computability on spaces of integrable functions, MLQ50:4,5 (2004) 417-430
Lietz, Peter, From Constructive Mathematics to Computable Analysis via the Realizability
Interpretation, PhD thesis, Fachbereich Mathematik, TU Darmstadt, Darmstadt, 2004
Mayordomo Cámara, Elvira, Effective Hausdorff dimension, in: Classical and new paradigms of computation and their complexity hierarchies, vol. 23 of Trends Log. Stud. Log. Libr., Kluwer Acad. Publ., Dordrecht, 2004, pages 171-186
Miller, Joseph S., Degrees of unsolvability of continuous functions, JSL69:2 (2004) 555-584
Miyamoto, Shoki and Yoshikawa, Atsushi, Computable sequences in the Sobolev spaces, Proc. Japan Acad. Ser. A80:3 (2004) 15-17
Mulupuru, Bharat C. and Kreinovich, Vladik and Osegueda, Roberto, Interval Approach to Phase Measurements Can Lead to Arbitrarily Complex
Sets - A Theorem and Ways Around It, Numerical Algorithms37 (2004) 285-299
Mycka, Jerzy and Costa, José Félix, Real recursive functions and their hierarchy, JC20:6 (2004) 835-857
Nedialkov, Nedialko S. and Kreinovich, Vladik and Starks, Scott A., Interval Arithmetic, Affine Arithmetic, Taylor Series Methods: Why,
What Next?, Numerical Algorithms37 (2004) 325-336
Niqui, Milad, Formalizing Exact Arithmetic - Representations, Algorithms and Proofs, PhD thesis, Institute for Programming Research and Algorithmics, University of
Nijmegen, Nijmegen, 2004
Normann, Dag, Hierarchies of total functionals over the reals, TCS316 (2004) 137-151
Tadaki, Kohtaro, An extension of Chaitin's halting probability Ω to measurement
operator in infinite dimensional quantum system, in: Frougny, Christiane and Brattka, Vasco and Müller, Norbert (eds.), RNC'6 Real Numbers and Computers, 2004, pages 172-191
Tsuiki, Hideki, Dyadic subbases and efficiency properties of the induced {0, 1,
⊥}^ω-representations, Topology Proceedings28:2 (2004) 673-687
Tsuiki, Hideki, Compact metric spaces as minimal-limit sets in domains of bottomed
sequences, MSCS14 (2004) 853-878
Tucker, J.V. and Zucker, J.I., Abstract versus concrete computation on metric partial algebras, ACM Transactions on Computational Logic5:4 (2004) 611-668
Vîţă, Luminiţa and Bridges, Douglas S., More on Cauchy nets in apartness spaces, Scientiae Mathematicae Japonicae59:3 (2004) 547-552
Weinberger, Shmuel, Computers, Rigidity, and Moduli: The Large-Scale Fractal Geometry
of Riemannian Moduli Space, Princeton University Press, New Jersey, 2004
Yu, Liang and Ding, Decheng and Downey, Rodney, The Kolmogorov complexity of random reals, APAL129:1-3 (2004) 163-180
Zheng, Xizhong, On the hierarchy of Δ^0_2-real numbers, in: Frougny, Christiane and Brattka, Vasco and Müller, Norbert (eds.), RNC'6 Real Numbers and Computers, 2004, pages 192-216
Zheng, Xizhong and Rettinger, Robert, Weak computability and representation of reals, MLQ50:4,5 (2004) 431-442
Ziegler, Martin, Computable operators on regular sets, MLQ50:4,5 (2004) 392-404
Ziegler, Martin and Brattka, Vasco, Computability in Linear Algebra, TCS326:1-3 (2004) 187-211
2003
Barmpalias, George, A transfinite hierarchy of reals, MLQ49:2 (2003) 163-172
Barmpalias, George, The approximation structure of a computably approximable real, JSL68:3 (2003) 885-922
Bauer, Andrej and Simpson, Alex, Locally non-compact spaces and continuity principles, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus
and Zhong, Ning (eds.), Computability and Complexity in Analysis, vol. 302 of Informatik Berichte, FernUniversität in Hagen, 2003, pages 103-116
Brattka, Vasco, The Inversion Problem for Computable Linear Operators, in: Alt, Helmut and Habib, Michel (eds.), STACS 2003, vol. 2607 of LNCS, Springer, Berlin, 2003, pages 391-402
Brattka, Vasco, Computability over Topological Structures, in: Cooper, S. Barry and Goncharov, Sergey S. (eds.), Computability and Models, Kluwer Academic Publishers, New York, 2003, pages 93-136
Brattka, Vasco, The Emperor's New Recursiveness: The Epigraph of the Exponential
Function in Two Models of Computability, in: Ito, Masami and Imaoka, Teruo (eds.), Words, Languages & Combinatorics III, World Scientific Publishing, Singapore, 2003, pages 63-72
Brattka, Vasco and Presser, Gero, Computability on subsets of metric spaces, TCS305 (2003) 43-76
Bridges, Douglas S., First steps in constructive game theory, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus
and Zhong, Ning (eds.), Computability and Complexity in Analysis, vol. 302 of Informatik Berichte, FernUniversität in Hagen, 2003, pages 3-9
Bridges, Douglas S. and Ishihara, Hajime and Spitters, Bas, Locating the range of an operator with an adjoint, Indagationes Mathematicae13:4 (2003) 433-440
Bridges, Douglas S. and Popa, Gabriela, Exact, continuous boundary crossings out of convex sets in R^N, The Quarterly Journal of Mathematics54:4 (2003) 391-398
Bridges, Douglas S. and van Dalen, Dirk and Ishihara, Hajime, Ishihara's proof technique in constructive analysis, Indagationes Mathematicae14:2 (2003) 163-168
Bridges, Douglas S. and Vîţă, Luminiţa, Apartness spaces as a framework for constructive topology, APAL119:1-3 (2003) 61-83
Bridges, Douglas S. and Vîţă, Luminiţa, A proof-technique in uniform space theory, JSL68:3 (2003) 795-802
Bridges, Douglas S. and Vîţă, Luminiţa, Separatedness in constructive topology, Documenta Mathematica8 (2003) 567-576
Bridges, Douglas S. and Vîţă, Luminiţa, Cauchy nets in uniform apartness spaces, Revue Roumaine de Mathématiques Pures et Appliquées48:5-6 (2003) 467-474
Bridges, Douglas S. and Vîţă, Luminiţa, Strong and uniform continuity–the uniform space case, LMS Journal of Computation and Mathematics6 (2003) 326-334
Cenzer, Douglas and Remmel, Jeffrey B., Index sets for computable real functions, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus
and Zhong, Ning (eds.), Computability and Complexity in Analysis, vol. 302 of Informatik Berichte, FernUniversität in Hagen, 2003, pages 164-182
Ciaffaglione, Alberto, Certified Reasoning on Real Numbers and Objects in Co-inductive Type
Theory, PhD thesis, Universitá degli Studi di Udine, 2003
Curi, Giovanni, Constructive metrisability in point-free topology, TCS305 (2003) 85-109
Downey, Rod G. and Hirschfeldt, Denis R. and Nies, André and
Stephan, Frank, Trivial Reals, in: Downey, Rod and Decheng, Ding and Ping, Tung Shih and Hui, Qiu Yu
and Yasugi, Mariko (eds.), Proceedings of the 7th and 8th Asian Logic Conferences, World Scientific, Singapore, 2003, pages 63-102
Downey, Rodney G., Presentations of reals (Abstract), in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus
and Zhong, Ning (eds.), Computability and Complexity in Analysis, vol. 302 of Informatik Berichte, FernUniversität in Hagen, 2003, pages 11-12
Edalat, Abbas and Pattinson, Dirk, Initial value problems in domain theory, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus
and Zhong, Ning (eds.), Computability and Complexity in Analysis, vol. 302 of Informatik Berichte, FernUniversität in Hagen, 2003, pages 211-227
Galatolo, Stefano, Complexity, initial condition sensitivity, dimension and weak chaos
in dynamical systems, NONL16:4 (2003) 1219-1238
Galatolo, Stefano, Global and local complexity in weakly chaotic dynamical systems, Discrete and Continuous Dynamical Systems9:6 (2003) 1607-1624
Graça, Daniel Silva, Computability via analog circuits, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus
and Zhong, Ning (eds.), Computability and Complexity in Analysis, vol. 302 of Informatik Berichte, FernUniversität in Hagen, 2003, pages 229-240
Graça, Daniel Silva and Costa, José Félix, Analog computers and recursive functions over the reals, JC19:5 (2003) 644-664
Hemmerling, Armin, Characterizations of the class Δ_2^ta over Euclidean spaces, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus
and Zhong, Ning (eds.), Computability and Complexity in Analysis, vol. 302 of Informatik Berichte, FernUniversität in Hagen, 2003, pages 241-254
Hemmerling, Armin, Approximate decidability in Euclidean spaces, MLQ49:1 (2003) 34-56
Hemmerling, Armin, The discrete parts of approximately decidable sets in Euclidean
spaces, MLQ49:4 (2003) 428-432
Hertling, Peter, Topological complexity of zero finding for continuous functions (Abstract), in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus
and Zhong, Ning (eds.), Computability and Complexity in Analysis, vol. 302 of Informatik Berichte, FernUniversität in Hagen, 2003, page 13
Hertling, Peter and Weihrauch, Klaus, Random elements in effective topological spaces with measure, IC181:1 (2003) 32-56
Kalantari, Iraj, Density & Baire category in recursive topology, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus
and Zhong, Ning (eds.), Computability and Complexity in Analysis, vol. 302 of Informatik Berichte, FernUniversität in Hagen, 2003, pages 15-18
Kalantari, Iraj and Welch, Larry, A blend of methods of recursion theory and topology, APAL124:1-3 (2003) 141-178
Kashefi, Elham, Quantum domain theory - definitions and applications, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus
and Zhong, Ning (eds.), Computability and Complexity in Analysis, vol. 302 of Informatik Berichte, FernUniversität in Hagen, 2003, pages 255-274
Kjos-Hanssen, Bjørn and Nies, André and Stephan, Frank, On a question of Ambos-Spies and Kučera, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus
and Zhong, Ning (eds.), Computability and Complexity in Analysis, vol. 302 of Informatik Berichte, FernUniversität in Hagen, 2003, pages 275-278
Ko, Ker-I, Computational Complexity of Fractals, in: Downey, Rod and Decheng, Ding and Ping, Tung Shih and Hui, Qiu Yu
and Yasugi, Mariko (eds.), Proceedings of the 7th and 8th Asian Logic Conferences, World Scientific, Singapore, 2003, pages 252-269
Kohlenbach, Ulrich, Uniform asymptotic regularity for Mann iterates, Journal of Mathematical Analysis and Applications279 (2003) 531-544
Kohlenbach, Ulrich and Leuçtean, Laurenţiu, Mann iterates of directionally nonexpansive mappings in hyperbolic
spaces, Abstract and Applied Analysis2003:8 (2003) 449-477
Kohlenbach, Ulrich and Oliva, Paulo, Proof mining in L_1-approximation, APAL121 (2003) 1-38
Kreinovich, Vladik and Longpré, Luc, Computational complexity and feasibility of data processing and interval
computations, with extension to cases when we have partial information
about probabilities, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus
and Zhong, Ning (eds.), Computability and Complexity in Analysis, vol. 302 of Informatik Berichte, FernUniversität in Hagen, 2003, pages 19-54
Kunkle, Daren, Computability on spaces of integrable functions, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus
and Zhong, Ning (eds.), Computability and Complexity in Analysis, vol. 302 of Informatik Berichte, FernUniversität in Hagen, 2003, pages 279-301
Kushner, Boris Abramovich, The centenary of A.A. Markov, Jr.; His personality, his constructive
mathematics, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus
and Zhong, Ning (eds.), Computability and Complexity in Analysis, vol. 302 of Informatik Berichte, FernUniversität in Hagen, 2003, pages 55-79
Lambov, Branimir, A two-layer approach to the computability and complexity of real
functions, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus
and Zhong, Ning (eds.), Computability and Complexity in Analysis, vol. 302 of Informatik Berichte, FernUniversität in Hagen, 2003, pages 303-324
Lawson, Jimmie D. and Lu, Bin, Riemann and Edalat integration on domains, TCS305 (2003) 259-275
Mycka, Jerzy, mu-Recursion and infinite limits, TCS302 (2003) 123-133
Oliva, Paulo, Proof Mining in Subsystems of Analysis, PhD thesis, Department of Computer Science, University of Aarhus, Denmark, Aarhus, 2003
Ord, Toby and Kieu, Tien D., On the existence of a new family of Diophantine equations for Ω, Fundamenta Informaticae56:3 (2003) 273-284
Parker, Matthew W., Undecidability in R^n: Riddled Basins, the KAM Tori, and the
Stability of the Solar System, Philosophy of Science70 (2003) 359-382
Popa, Gabriela, A theoretical constructivisation of mathematical economics, PhD thesis, Department of Mathematics & Statistics, University of Canterbury, Christchurch, 2003
Pour-El, Marian B. and Zhong, Ning, Boundary regularity and computability, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus
and Zhong, Ning (eds.), Computability and Complexity in Analysis, vol. 302 of Informatik Berichte, FernUniversität in Hagen, 2003, pages 325-343
Rettinger, Robert and Weihrauch, Klaus, The computational complexity of some Julia sets, in: Goemans, Michel X. (ed.), Proceedings of the 35th Annual ACM Symposium on Theory of Computing, ACM Press, New York, 2003, pages 177-185
Rettinger, Robert and Zheng, Xizhong, On the hierarchy and extension of monotonically computable real numbers, JC19 (2003) 672-691
Sambin, Giovanni, Some points in formal topology, TCS305 (2003) 347-408
Schröder, Matthias, Spaces allowing type-2 complexity theory revisited, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus
and Zhong, Ning (eds.), Computability and Complexity in Analysis, vol. 302 of Informatik Berichte, FernUniversität in Hagen, 2003, pages 345-361
Schuster, Peter and Vîţă, Luminiţa and Bridges,
Douglas S., Strong versus uniform continuity: a constructive round, Quaestiones Mathematicae26:2 (2003) 171-190
Schuster, Peter M., Unique existence, approximate solutions, and countable choice, TCS305 (2003) 433-455
Simpson, Alex K., Towards a Convenient Category of Topological Domains, in: Proceedings of the 13th ALGI Workshop, RIMS, Kyoto University, 2003
Stoltenberg-Hansen, Viggo and Tucker, John V., Computable and continuous partial homomorphisms on metric partial
algebras, Bulletin of Symbolic Logic9:3 (2003) 299-334
Tadaki, Kohtaro, Upper bound by Kolmogorov complexity for the probability in computable
quantum measurement, in: Daumas, Marc et al. (eds.), RNC'5 Real Numbers and Computers, 2003, pages 193-214
Takeuti, Izumi, Effective Limit in Computable Analysis, in: Daumas, Marc et al. (eds.), RNC'5 Real Numbers and Computers, 2003, pages 161-175
Vîţă, Luminiţa S. and Bridges, Douglas S., A constructive theory of point-set nearness, TCS305 (2003) 473-489
Weihrauch, Klaus, Continuity in computable analysis (Abstract), in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus
and Zhong, Ning (eds.), Computability and Complexity in Analysis, vol. 302 of Informatik Berichte, FernUniversität in Hagen, 2003, pages 99-100
Yasugi, Mariko and Washihara, Masako, A note on Rademacher Functions and Computability, in: Ito, Masami and Imaoka, Teruo (eds.), Words, Languages & Combinatorics III, World Scientific Publishing, Singapore, 2003, pages 466-475
Yoshikawa, Atsushi, On an ad hoc computability structure in a Hilbert space, Proc. Japan Acad. Ser. A79:3 (2003) 65-70
Zheng, Xizhong, On the divergence bounded computable real numbers, in: Warnow, Tandy and Zhu, Binhai (eds.), Computing and Combinatorics, vol. 2697 of LNCS, Springer, Berlin, 2003, pages 102-111
Zheng, Xizhong, On the Turing degrees of weakly computable real numbers, Journal of Logic and Computation13:2 (2003) 159-172
Zheng, Xizhong and Barmpalias, George, On the Monotonic Computability of Semi-computable Real Numbers, in: Calude, Cristian S. and Dinneen, Michael J. and Vajnovszki, Vincent (eds.), Discrete Mathematics and Theoretical Computer Science, vol. 2731 of LNCS, Springer, Berlin, 2003, pages 290-300
Zheng, Xizhong and Rettinger, Robert, h-Monotonically computable real numbers, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus
and Zhong, Ning (eds.), Computability and Complexity in Analysis, vol. 302 of Informatik Berichte, FernUniversität in Hagen, 2003, pages 375-388
Zheng, Xizhong and Rettinger, Robert and Gengler, Romain, Ershov's hierarchy of real numbers, in: Rovan, B. and Vojtas, P. (eds.), Mathematical Foundations of Computer Science 2003, vol. 2747 of LNCS, Springer, Berlin, 2003, pages 681-690
Zheng, Xizhong and Rettinger, Robert and von Braunmühl, Burchard, On the Effective Jordan Decomposability, in: Alt, Helmut and Habib, Michel (eds.), STACS 2003, vol. 2607 of LNCS, Springer, Berlin, 2003, pages 167-178
Zhong, Ning and Weihrauch, Klaus, Computability theory of generalized functions, JACM50:4 (2003) 469-505
Ziegler, Martin, Computable operators on regular sets, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus
and Zhong, Ning (eds.), Computability and Complexity in Analysis, vol. 302 of Informatik Berichte, FernUniversität in Hagen, 2003, pages 389-406
Ziegler, Martin, Stability versus Speed in a Computable Algebraic Model, in: Daumas, Marc et al. (eds.), RNC'5 Real Numbers and Computers, 2003, pages 47-64
2002
Barmpalias, George, On 0'-computable Reals, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus (eds.), CCA 2002 Computability and Complexity in Analysis, vol. 66 of ENTCS, Elsevier, Amsterdam, 2002
Bauer, Andrej, A Relationship between Equilogical Spaces and Type Two Effectivity, MLQ48:Suppl. 1 (2002) 1-15
Bauer, Andrej and Escardó, Martín Hötzel and Simpson,
Alex, Comparing Functional Paradigms for Exact Real-Number Computation, in: Widmayer, Peter and Triguero, Francisco and Morales, Rafael and Hennessy,
Matthew and Eidenbenz, Stephan and Conejo, Ricardo (eds.), Automata, Languages and Programming, vol. 2380 of LNCS, Springer, Berlin, 2002, pages 488-500
Becher, Verónica and Figueira, Santiago, An example of a computable absolutely normal number, TCS270 (2002) 947-958
Blanck, Jens and Stoltenberg-Hansen, Viggo and Tucker, John V., Domain representations of partial functions, with applications to
spatial objects and constructive volume geometry, TCS284:2 (2002) 207-240
Bläser, Markus, Uniform computational complexity of the derivatives of C^∞-functions, TCS284:2 (2002) 199-206
Brattka, Vasco, Computing Uniform Bounds, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus (eds.), CCA 2002 Computability and Complexity in Analysis, vol. 66 of ENTCS, Elsevier, Amsterdam, 2002
Brattka, Vasco, Random Numbers and an Incomplete Immune Recursive Set, in: Widmayer, Peter and Triguero, Francisco and Morales, Rafael and Hennessy,
Matthew and Eidenbenz, Stephan and Conejo, Ricardo (eds.), Automata, Languages and Programming, vol. 2380 of LNCS, Springer, Berlin, 2002, pages 950-961
Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus (eds.), Computability and Complexity in Analysis, 5th International Workshop, CCA 2002, Málaga, Spain, July
12-13, 2002, vol. 66(1) of ENTCS, Elsevier, Amsterdam, 2002
Brattka, Vasco and Ziegler, Martin, Computability of linear equations, in: Baeza-Yates, Ricardo and Montanari, Ugo and Santoro, Nicola (eds.), Foundations of Information Technology in the Era of Network and Mobile
Computing, vol. 223 of IFIP International Federation for Information Processing, Kluwer Academic Publishers, Dordrecht, 2002, pages 95-106
Bridges, Douglas S., Reality and virtual reality in mathematics, BEATCS78 (2002) 221-230
Bridges, Douglas S. and Ishihara, Hajime and Schuster, Peter, Compactness and continuity, constructively revisited, in: Bradfield, Julian (ed.), Computer science logic, vol. 2471 of LNCS, Springer, 2002, pages 89-102
Bridges, Douglas S. and Schuster, Peter and Vîţă,
Luminiţa, Apartness, Topology, and Uniformity: a Constructive View, MLQ48:Suppl. 1 (2002) 16-28
Bridges, Douglas S. and Vîţă, Luminiţa, Cauchy nets in the constructive theory of apartness spaces, Scientiae Mathematicae Japonicae56:1 (2002) 123-132
Bridges, Douglas S. and Ward, Nicholas Dudley, Kernels of seminorms in constructive analysis, TCS284:2 (2002) 259-267
Calude, Cristian S., A characterization of c.e. random reals, TCS271 (2002) 3-14
Campagnolo, Manuel Lameiras, The Complexity of Real Recursive Functions, in: Calude, C.S. and Dinneen, M.J. and Peper, F. (eds.), Unconventional Models of Computation, vol. 2509 of LNCS, Springer, Berlin, 2002, pages 1-14
Campagnolo, Manuel Lameiras and Moore, Cristopher and Costa, José
Félix, An Analog Characterization of the Grzegorczyk Hierarchy, JC18:4 (2002) 977-1000
Cenzer, Douglas and Remmel, Jeffrey B., Effectively closed sets and graphs of computable real functions, TCS284:2 (2002) 279-318
Ciaffaglione, Alberto and Di Gianantonio, Pietro, A Tour with Constructive Real Numbers, in: Callaghan, P. and Luo, Z. and McKinna, J. and Pollack, R. (eds.), Types for Proofs and Programs, vol. 2277 of LNCS, Springer, Berlin, 2002, pages 41-52
Downey, Rod and Terwijn, Sebastiaan, Computably Enumerable Reals and Uniformly Presentable Ideals, MLQ48:Suppl. 1 (2002) 29-40
Downey, Rod G. and Griffiths, Evan J., Schnorr Randomness, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus (eds.), CCA 2002 Computability and Complexity in Analysis, vol. 66 of ENTCS, Elsevier, Amsterdam, 2002
Downey, Rod G. and Hirschfeldt, Denis R. and Nies, André and
Stephan, Frank, Trivial Reals, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus (eds.), CCA 2002 Computability and Complexity in Analysis, vol. 66 of ENTCS, Elsevier, Amsterdam, 2002
Downey, Rodney G. and LaForte, Geoffrey L., Presentations of computably enumerable reals, TCS284:2 (2002) 539-555
Du, Zilin and Eleftheriou, Maria and Moreira, José E. and Yap,
Chee, Hypergeometric Functions in Exact Geometric Computation, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus (eds.), CCA 2002 Computability and Complexity in Analysis, vol. 66 of ENTCS, Elsevier, Amsterdam, 2002
Edalat, Abbas and Lieutier, André, Foundation of a computable solid modelling, TCS284:2 (2002) 319-345
Escardó, Martín Hötzel and Streicher, Thomas, In Domain Realizability Not All Functionals on C[-1,1] are Continuous, MLQ48:Suppl. 1 (2002) 41-44
Etesi, Gábor and Németi, István, Non-Turing computations via Malament-Hogarth space-times, International Journal of Theoretical Physics41:2 (2002) 341-370
Geuvers, Herman and Niqui, Milad, Constructive reals in Coq: axioms and categoricity, in: Types for proofs and programs (Durham, 2000), vol. 2277 of Lecture Notes in Comput. Sci., Springer, Berlin, 2002, pages 79-95
Gori, Marco and Meer, Klaus, A Step towards a Complexity Theory for Analog Systems, MLQ48:Suppl. 1 (2002) 45-58
Hajime Ishihara and Satoru Yoshida, A constructive look at the completeness of the space D
(\textbfR), Journal of Symbolic Logic67:4 (2002) 1511–1519
Heckmann, Reinhold, Contractivity of linear fractional transformations, TCS279 (2002) 65-82
Heindl, Gerhard and Kreinovich, Vladik and Rifqi, Maria, In Case of Interval (or More General) Uncertainty, No Algorithm Can
Choose the Simplest Representative, RC8 (2002) 213-227
Hemmerling, Armin, Effective metric spaces and representations of the reals, TCS284:2 (2002) 347-372
Hertling, Peter, A Comparison of Certain Representations of Regularly Closed Sets, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus (eds.), CCA 2002 Computability and Complexity in Analysis, vol. 66 of ENTCS, Elsevier, Amsterdam, 2002
Hertling, Peter, A Banach-Mazur Computable But Not Markov Computable Function
on the Computable Real Numbers, in: Widmayer, Peter and Triguero, Francisco and Morales, Rafael and Hennessy,
Matthew and Eidenbenz, Stephan and Conejo, Ricardo (eds.), Automata, Languages and Programming, vol. 2380 of LNCS, Springer, Berlin, 2002, pages 962-972
Hertling, Peter, Topological Complexity of Zero Finding with Algebraic Operations, JC18:4 (2002) 912-942
Hitchcock, John M., Correspondence Principles for Effective Dimensions, in: Widmayer, Peter and Triguero, Francisco and Morales, Rafael and Hennessy,
Matthew and Eidenbenz, Stephan and Conejo, Ricardo (eds.), Automata, Languages and Programming, vol. 2380 of LNCS, Springer, Berlin, 2002, pages 561-572
Hitchcock, John M. and Lutz, Jack H., Why Computational Complexity Requires Stricter Martingales, in: Widmayer, Peter and Triguero, Francisco and Morales, Rafael and Hennessy,
Matthew and Eidenbenz, Stephan and Conejo, Ricardo (eds.), Automata, Languages and Programming, vol. 2380 of LNCS, Springer, Berlin, 2002, pages 549-560
Kalantari, Iraj and Welch, Lawrence, Recursive Quantum Functions, Avoidable Points, & Shadow Points in
Recursive Analysis, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus (eds.), CCA 2002 Computability and Complexity in Analysis, vol. 66 of ENTCS, Elsevier, Amsterdam, 2002
Khanban, Ali Asghar and Edalat, Abbas and Lieutier, André, Computability of Delaunay Triangulation and Voronoi Diagram, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus (eds.), CCA 2002 Computability and Complexity in Analysis, vol. 66 of ENTCS, Elsevier, Amsterdam, 2002
Ko, Ker-I and Nerode, Anil and Weihrauch, Klaus (eds.), Computability and Complexity in Analysis, vol. 284(2) of TCS, Elsevier, Amsterdam, 2002
Kohlenbach, Ulrich, On uniform weak König's lemma, APAL114 (2002) 103-116
Kohlenbach, Ulrich, On Weak Markov's Principle, MLQ48:Suppl. 1 (2002) 59-65
Konečný, Michal, Real functions computable by finite automata using affine representations, TCS284:2 (2002) 373-396
Korovina, Margarita V., Fixed Points on the Real Numbers without the Equality Test, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus (eds.), CCA 2002 Computability and Complexity in Analysis, vol. 66 of ENTCS, Elsevier, Amsterdam, 2002
Krupski, Vladimir N., Effective simultaneous approximability of reals, TCS284:2 (2002) 397-417
Langley, Simon and Richardson, Daniel, What can we do with a Solution?, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus (eds.), CCA 2002 Computability and Complexity in Analysis, vol. 66 of ENTCS, Elsevier, Amsterdam, 2002
Lester, David and Chambers, Scott and Lu, Heoi Lee, A constructive algorithm for finding the exact roots of polynomials
with computable real coefficients, TCS279 (2002) 51-64
Miller, Joseph S., Effectiveness for Embedded Spheres and Balls, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus (eds.), CCA 2002 Computability and Complexity in Analysis, vol. 66 of ENTCS, Elsevier, Amsterdam, 2002
Miller, Joseph Stephen, Pi-0-1 Classes in Computable Analysis and Topology, PhD thesis, Cornell University, Ithaca, USA, 2002
Mori, Takakazu, On the computability of Walsh functions, TCS284:2 (2002) 419-436
Müller, Norbert Th., Real Numbers and BDDs, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus (eds.), CCA 2002 Computability and Complexity in Analysis, vol. 66 of ENTCS, Elsevier, Amsterdam, 2002
Nakata, Masahiro and Hayashi, Susumu, A limiting first order realizability interpretation, Sci. Math. Jpn.55:3 (2002) 567-580
Normann, Dag, Exact real number computations relative to hereditarily total functionals, TCS284:2 (2002) 437-453
Oliva, Paulo, On the Computational Complexity of Best L_1-approximation, MLQ48:Suppl. 1 (2002) 66-77
Rettinger, Robert and Weihrauch, Klaus, The Computational Complexity of Some Julia Sets, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus (eds.), CCA 2002 Computability and Complexity in Analysis, vol. 66 of ENTCS, Elsevier, Amsterdam, 2002
Rettinger, Robert and Zheng, Xizhong and Gengler, Romain and von
Braunmühl, Burchard, Monotonically Computable Real Numbers, MLQ48:3 (2002) 459-479
Rettinger, Robert and Zheng, Xizhong and von Braunmühl, Burchard, Computable Real Functions of Bounded Variation and semi-Computable
Real Numbers, in: Ibarra, Oscar H. and Zhang, Louxin (eds.), Computing and Combinatorics, vol. 2387 of LNCS, Springer, Berlin, 2002, pages 47-56
Richman, Fred, Omniscience Principles and Functions of Bounded Variation, MLQ48:1 (2002) 111-116
Richman, Fred and Bridges, Douglas S. and Schuster, Peter, Trace-class operators, Houston Journal of Mathematics28:3 (2002) 565-583
Rubio, Julio and Sergeraert, Francis, Constructive algebraic topology, Bulletin des Sciences Mathématiques126:5 (2002) 389-412
Schröder, Matthias, A Natural Weak Limit Space with Admissible Representation which is
not a Limit Space, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus (eds.), CCA 2002 Computability and Complexity in Analysis, vol. 66 of ENTCS, Elsevier, Amsterdam, 2002
Skordev, Dimiter, Computability of Real Numbers by Using a Given Class of Functions
in the Set of Natural Numbers, MLQ48:Suppl. 1 (2002) 91-106
Spitters, Bas, Located Operators, MLQ48:Suppl. 1 (2002) 107-122
Spitters, Bas, Constructive and intuitionistic integration theory and functional
analysis, PhD thesis, University of Nijmegen, 2002
Staiger, Ludwig, How Large is the Set of Disjunctive Sequences?, JUCS8:2 (2002) 348-362
Staiger, Ludwig, The Kolmogorov complexity of real numbers, TCS284:2 (2002) 455-466
Tsuiki, Hideki, Representations of Complete Uniform Spaces via Uniform Domains, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus (eds.), CCA 2002 Computability and Complexity in Analysis, vol. 66 of ENTCS, Elsevier, Amsterdam, 2002
Tsuiki, Hideki, Real number computation through Gray code embedding, TCS284:2 (2002) 467-485
Tucker, J.V. and Zucker, J.I., Abstract computability and algebraic specification, ACM Transactions on Computational Logic3:2 (2002) 279-333
van Atten, Mark and van Dalen, Dirk, Arguments for the Continuity Principle, Bulletin of Symbolic Logic8:3 (2002) 329-347
Weihrauch, Klaus, Computable Analysis, in: B.D. Masurov et al. (eds.), Proceedings of the international conference "Logic and Applications"
honouring Yu. L. Ershov on his 60th birthday, University of Novosibirsk, Novosibirsk, 2002, pages 165-178
Weihrauch, Klaus and Zhong, Ning, The Solution Operator of the Korteweg-de Vries Equation is Computable, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus (eds.), CCA 2002 Computability and Complexity in Analysis, vol. 66 of ENTCS, Elsevier, Amsterdam, 2002
Weihrauch, Klaus and Zhong, Ning, Is wave propagation computable or can wave computers beat the Turing
machine?, LMS85:2 (2002) 312-332
Wiedermann, Jiří and van Leeuwen, Jan, Relativistic Computers and Non-uniform Complexity Theory, in: Calude, Cristian S. and Dinneen, Michael J. and Peper, Ferdinand (eds.), Unconventional models of computation, vol. 2509 of LNCS, Springer, Berlin, 2002, pages 287-299
Yasugi, Mariko and Brattka, Vasco and Washihara, Masako, Computability aspects of some discontinuous functions, Scientiae Mathematicae Japonicae55:3 (2002) 427-441
Yasugi, Mariko and Brattka, Vasco and Washihara, Masako, Limit computation of some discontinuous functions, in: Theoretical development and feasibility of mathematical analysis
on the computer, vol. 1286 of Sūrikaisekikenkyūsho Kōkyūroku, Research Institute for Mathematical Sciences, Kyoto, 2002, pages 79-84
Yasugi, Mariko and Tsujii, Yoshiki, Two Notions of Sequential Computability of a Function with Jumps, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus (eds.), CCA 2002 Computability and Complexity in Analysis, vol. 66 of ENTCS, Elsevier, Amsterdam, 2002
Yasugi, Mariko and Tsujii, Yoshiki and Mori, Takakazu, Metrization of the Uniform Space and Effective Convergence, MLQ48:Suppl. 1 (2002) 123-130
Yoshikawa, Atsushi, Interpolation functor and computability, TCS284:2 (2002) 487-498
Zheng, Xizhong, The closure properties on real numbers under limits and computable
operators, TCS284:2 (2002) 499-518
Zheng, Xizhong, Recursive Approximability of Real Numbers, MLQ48:Suppl. 1 (2002) 131-156
Zheng, Xizhong and Rettinger, Robert and von Braunmühl, Burchard, Effectively Absolute Continuity and Effective Jordan Decomposability, in: Brattka, Vasco and Schröder, Matthias and Weihrauch, Klaus (eds.), CCA 2002 Computability and Complexity in Analysis, vol. 66 of ENTCS, Elsevier, Amsterdam, 2002
Ziegler, Martin, Computability on Regular Subsets of Euclidean Space, MLQ48:Suppl. 1 (2002) 157-181
Ziegler, Martin, Zur Berechenbarkeit reeller geometrischer Probleme, PhD thesis, Fachbereich Mathematik/Informatik, Universität Paderborn, Paderborn, 2002
Bauer, Andrej, A Relationship between Equilogical Spaces and Type Two Effectivity, in: Brooks, Stephen and Mislove, Michael (eds.), Seventeenth Conference on the Mathematical Foundations of Programming
Semantics, vol. 45 of ENTCS, Elsevier, Amsterdam, 2001
Becher, Verónica and Daicz, Sergio and Chaitin, Gregory, A highly random number, in: Combinatorics, computability and logic (Constanţa, 2001), Springer Ser. Discrete Math. Theor. Comput. Sci., Springer, London, 2001, pages 55-68
Blanck, Jens, Effectivity of Regular Spaces, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of LNCS, Springer, Berlin, 2001, pages 1-15
Blanck, Jens, Exact Real Arithmetic Systems: Results of Competition, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of LNCS, Springer, Berlin, 2001, pages 389-393
Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, 4th International Workshop, CCA 2000, Swansea, UK, September 17-19,
2000. Selected Papers, vol. 2064 of LNCS, Springer, Berlin, 2001
Brattka, Vasco, Computable versions of Baire's category theorem, in: Sgall, Jiří and Pultr, Aleš and Kolman, Petr (eds.), Mathematical Foundations of Computer Science 2001, vol. 2136 of LNCS, Springer, Berlin, 2001, pages 224-235
Breutzmann, Josef M. and Juedes, David W. and Lutz, Jack H., Baire Category and Nowhere Differentiability for Feasible Real Functions, in: Eades, Peter and Takaoka, Tadao (eds.), Algorithms and Computation, vol. 2223 of LNCS, Springer, Berlin, 2001, pages 219-230
Bridges, Douglas S., Dini's Theorem: A Constructive Case Study, 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 69-80
Bridges, Douglas S., Prime and maximal ideals in constructive ring theory, Communications in Algebra29:7 (2001) 2787-2803
Bridges, Douglas S. and Havea, Robin, A constructive version of the spectral mapping theorem, MLQ47:3 (2001) 299-304
Bridges, Douglas S. and Ishihara, Hajime, Constructive unbounded operators, in: Schuster, Peter and Berger, Ulrich and Osswald, Horst (eds.), Reuniting the antipodes–constructive and nonstandard views of the
continuum (Venice, 1999), vol. 306 of Synthese Library, Kluwer Acad. Publ., Dordrecht, 2001, pages 25-37
Bridges, Douglas S. and Ishihara, Hajime, Constructive closed range and open mapping theorems, Indagationes Mathematicae11:4 (2001) 509-516
Bridges, Douglas S. and Mahalanobis, Ayan, Increasing, nondecreasing, and virtually continuous functions, Journal of Automata, Languages and Combinatorics6:2 (2001) 139-143
Bridges, Douglas S. and Mahalanobis, Ayan, Bounded variation implies regulated: a constructive proof, JSL66:4 (2001) 1695-1700
Bridges, Douglas S. and Vîţă, Luminiţa, Characterising Near Continuity Constructively, MLQ47:4 (2001) 535-538
Calude, C.S. and Hertling, P. and Jürgensen, H. and Weihrauch,
K., Randomness on Full Shift Spaces, Chaos, Solitons & Fractals12:3 (2001) 491-503
Calude, Cristian S. and Hertling, Peter H. and Khoussainov, Bakhadyr
and Wang, Yongge, Recursively enumerable reals and Chaitin Ω numbers, TCS255 (2001) 125-149
Campagnolo, Manuel Lameiras, Computational Complexity of Real Valued Recursive Functions and Analog
Circuits, PhD thesis, Instituto Superior Técnico, Universidade Técnica de Lisboa, Lisbon, 2001
Campagnolo, Manuel Lameiras and Moore, Cristopher, Upper and lower bounds on continuous-time computation, in: Antoniou, I. and Calude, C.S. and Dinneen, M.J. (eds.), Unconventional Models of Computation, UMC2'K, DMTCS, Springer, London, 2001, pages 135-153
Campagnolo, Manuel Lameiras and Moore, Cristopher and Costa, José
Félix, Iteration, Inequalities, and Differentiability in Analog Computers, JC16:4 (2001) 642-660
Downey, Rod G. and Hirschfeldt, Denis R. and LaForte, Geoffrey L., Randomness and Reducibility, in: Sgall, Jiří and Pultr, Aleš and Kolman, Petr (eds.), Mathematical Foundations of Computer Science 2001, vol. 2136 of LNCS, Springer, Berlin, 2001, pages 316-327
Dunlop, Anthony J. and Pour-El, Marian B., The Degree of Unsolvability of a Real Number, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of LNCS, Springer, Berlin, 2001, pages 16-29
Edalat, Abbas and Escardó, Martín Hötzel, Integration in real PCF, IC160 (2001) 128-166
Gay, William and Zhang, Bing-Yu and Zhong, Ning, Computability of Solutions of the Korteweg-de Vries Equation, MLQ47:1 (2001) 93-110
Gowland, Paul and Lester, David, A Survey of Exact Arithmetic Implementations, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of LNCS, Springer, Berlin, 2001, pages 30-47
Havea, Robin Siale, Constructive Spectral and Numerical Range Theory, PhD thesis, Department of Mathematics & Statistics, University of Canterbury, Christchurch, 2001
Hemmerling, Armin, Standard Representations of Effective Metric Spaces, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of LNCS, Springer, Berlin, 2001, pages 48-68
Hertling, Peter, Banach-Mazur Computable Functions on Metric Spaces, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of LNCS, Springer, Berlin, 2001, pages 69-81
Hirowatari, Eiju and Arikawa, Setsuo, A comparison of identification criteria for inductive inference of
recursive real-valued functions, TCS268 (2001) 351-366
Hur, Namhyun and Davenport, James H., A Generic Root Operation for Exact Real Arithmetic, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of LNCS, Springer, Berlin, 2001, pages 82-87
Ishihara, Hajime, Sequentially Continuity in Constructive Mathematics, 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 5-12
Ishihara, Hajime, Locating subsets of a Hilbert space, Proceedings of the American Mathematical Society129 (2001) 1385-1390
Kamo, Hiroyasu, Effective Contraction Theorem and Its Application, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of LNCS, Springer, Berlin, 2001, pages 88-100
Kapoulas, George, Polynomially Time Computable Functions over p-Adic Fields, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of LNCS, Springer, Berlin, 2001, pages 101-118
Kohlenbach, Ulrich, On the Computational Content of the Krasnoselski and Ishikawa
Fixed Point Theorems, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of LNCS, Springer, Berlin, 2001, pages 119-145
Kohlenbach, Ulrich, A quantitative version of a theorem due to Borwein-Reich-Shafrir, Numerical Functional Analysis and Optimization22:5 (2001) 641-656
Korovina, Margarita V. and Kudinov, Oleg V., Formalisation of Computability of Operators and Real-Valued Functionals
via Domain Theory, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of LNCS, Springer, Berlin, 2001, pages 146-168
Korovina, Margarita V. and Kudinov, Oleg V., Semantic Characterisations of Second-Order Computability over the
Real Numbers, in: Fribourg, Laurent (ed.), Computer Science Logic, vol. 2142 of LNCS, Springer, Berlin, 2001, pages 160-172
Krznarić, Marko, Computing a Required Absolute Precision from a Stream of Linear Fractional
Transformations, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of LNCS, Springer, Berlin, 2001, pages 169-186
Labhalla, S. and Lombardi, H. and Moutai, E., Espaces métriques rationnellement présentés et complexité,
le cas de l'espace des fonctions réelles uniformément continues
sur un intervalle compact, TCS250 (2001) 265-332
Meyssonnier, Charles and Boldi, Paolo and Vigna, Sebastiano, δ-Approximable Functions, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of LNCS, Springer, Berlin, 2001, pages 187-199
Mori, Takakazu, Computabilities of Fine-Continuous Functions, in: Blanck, Jens and Brattka, Vasco and Hertling, Peter (eds.), Computability and Complexity in Analysis, vol. 2064 of LNCS, Springer, Berlin, 2001, pages 200-221
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 LNCS, 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 LNCS, 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 LNCS, 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 LNCS, 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 LNCS, 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 SYN, 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 LNCS, Springer, Berlin, 2001, pages 296-309
Spreen, Dieter, Representations versus numberings: on the relationship of two computability notions, TCS262 (2001) 473-499
Spreen, Dieter, Can partial indexings be totalized?, JSL66:3 (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 LNCS, 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 LNCS, 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 LNCS, 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 LNCS, 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 LNCS, 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 LNCS, Springer, Berlin, 2001, pages 596-599
Yasugi, Mariko and Brattka, Vasco and Washihara, Masako, Computability aspects of some discontinuous functions, Scientiae Mathematicae Japonicae Online5 (2001) 405-419
Zheng, Xizhong and Weihrauch, Klaus, The Arithmetical Hierarchy of Real Numbers, MLQ47:1 (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 LNCS, 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, JC16:4 (2000) 676-690
Bauer, Andrej, The Realizability Approach to Computable Analysis and Topology, PhD thesis, School of Computer Science, Carnegie Mellon University, Pittsburgh, 2000
Blanck, Jens, Domain representations of topological spaces, TCS247 (2000) 229-255
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, MLQ46:1 (2000) 139-143
Bridges, Douglas S. and Richman, Fred and Schuster, Peter, Linear independence without choice, APAL101:1 (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 LNCS, 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, JSL65 (2000) 421-442
Fouché, Willem, The Descriptive Complexity of Brownian Motion, Advances in Mathematics155 (2000) 317-343
Galatolo, Stefano, Orbit computability by computable structures, NONL13 (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, JC16 (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, APAL102 (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 LNCS, Springer, Berlin, 2000, pages 512-526
Schuster, Peter, A constructive look at generalized Cauchy reals, MLQ46:1 (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, TCS234 (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, JSL65:1 (2000) 357-370
Zhou, Qing, Grzegorczyk's hierarchy of computable analysis, TCS243 (2000) 449-466
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 LNCS, 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, TCS219 (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, TCS219 (1999) 19-48
Boldi, Paolo and Vigna, Sebastiano, Equality is a Jump, TCS219 (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
Brattka, Vasco and Weihrauch, Klaus, Computability on Subsets of Euclidean Space I: Closed and Compact
Subsets, TCS219 (1999) 65-93
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, TCS219 (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, MLQ45:2 (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 SIL, Elsevier, Amsterdam, 1999, pages 37-85
Cenzer, Douglas and Remmel, Jeffrey B., Index sets in computable analysis, TCS219 (1999) 111-150
Chadzelek, Thomas and Hotz, Günter, Analytic machines, TCS219 (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 LNCS, Springer, Berlin, 1999, pages 195-203
Di Gianantonio, Pietro, An abstract data type for real numbers, TCS221 (1999) 295-326
Dunlop, Anthony James, Degrees of unsolvability and relative computability of real numbers, Ph.D. Thesis, University of Minnesota, 1999
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 LNCS, Springer, Berlin, 1999, pages 90-104
Edalat, Abbas and Sünderhauf, Philipp, A domain-theoretic approach to computability on the real line, TCS210 (1999) 73-98
Edalat, Abbas and Sünderhauf, Philipp, Computable Banach spaces via domain theory, TCS219 (1999) 169-184
Escardó, Martín Hötzel and Streicher, Thomas, Induction and recursion on the partial real line with applications
to Real PCF, TCS210 (1999) 121-157
Galatolo, Stefano, Pointwise information entropy for metric spaces, NONL12 (1999) 1289-1298
Hemmerling, Armin, On Approximative and Algebraic Computability over the Real Numbers, TCS219 (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, MLQ45:2 (1999) 147-182
Hertling, Peter, An effective Riemann Mapping Theorem, TCS219 (1999) 225-265
Ho, Chun-Kuen, Relatively recursive reals and real functions, TCS210:1 (1999) 99-120
Kalantari, Iraj and Welch, Lawrence, Recursive and nonextendible functions over the reals; filter foundation
for recursive analysis, II, APAL98:1-3 (1999) 87-110
Kamo, Hiroyasu and Kawamura, Kiko, Computability of Self-Similar Sets, MLQ45 (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, MLQ45:2 (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, TCS219 (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 LNCS, Springer, Berlin, 1999, pages 188-203
Kushner, Boris Abramovich, Markov's constructive analysis; a participant's view, TCS219 (1999) 267-285
Müller, Norbert Th., Computability on random variables, TCS219:1-2 (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, MSCS9 (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 SIL, Elsevier, Amsterdam, 1999, pages 449-471
Pour-El, Marian B., From axiomatics to intrinsic characterization: some open problems
in computable analysis, TCS219 (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
Schröder, Matthias, Online computations of differentiable functions, TCS219 (1999) 331-345
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 LNCS, 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, TCS219 (1999) 347-378
Tucker, J.V. and Zucker, J.I., Computation by 'While' Programs on Topological Partial Algebras, TCS219 (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, TCS219 (1999) 421-437
Weihrauch, Klaus and Zheng, Xizhong, Effectiveness of the global modulus of continuity on metric spaces, TCS219 (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 LNCS, Springer, Berlin, 1999, pages 697-706
Woźniakowski, Henryk, Why does information-based complexity use the real number model?, TCS219 (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, TCS219 (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 LNCS, 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 LNCS, Springer, Berlin, 1999, pages 23-33
Zhong, Ning, Computability structure of the Sobolev spaces and its applications, TCS219 (1999) 487-510
Zhong, Ning and Zhang, Bing-Yu, L^p-Computability, MLQ45:4 (1999) 449-456
1998
Boldi, Paolo and Vigna, Sebastiano, δ-uniform BSS Machines, JC14:2 (1998) 234-256
Brattka, Vasco, Recursive and Computable Operations over Topological Structures, Ph.D. thesis, Department of Computer Science, University of Hagen, Hagen, Germany, 1998
Brattka, Vasco and Hertling, Peter, Feasible real random access machines, JC14:4 (1998) 490-526
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 SIL, 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?, MLQ44:4 (1998) 545-552
Bridges, Douglas S. and Mines, Ray, Sequentially continuous linear mappings in constructive analysis, JSL63:2 (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, FI33:2 (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 LNCS, 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 SIL, 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, TCS193 (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 LNCS, 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, APAL93:1-3 (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 SIL, Elsevier, Amsterdam, 1998, pages 1271-1317
Ko, Ker-I, On the computability of fractal dimensions and Hausdorff measure, APAL93 (1998) 195-216
Kohlenbach, Ulrich, Proof theory and computational analysis, ENTCS13 (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, JSL63:1 (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, JC14 (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 LNCS, 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, TCS197 (1998) 79-94
Zhong, Ning, Derivatives of computable functions, MLQ44 (1998) 304-316
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, APAL83 (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 LNCS, Springer, Berlin, 1997, pages 146-155
Bridges, Douglas S. and Dediu, Luminiţa, Paradise lost, or paradise regained?, BEATCS63 (1997) 141-155
Bridges, Douglas S. and Wang, Yuchuan, Constructive aspects of the Dirichlet problem, JUCS3:11 (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?, BEATCS62 (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, JUCS3:11 (1997) 1226-1240
Ishihara, Hajime, Sequential continuity of linear mappings in constructive mathematics, JUCS3 (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 LNL, 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, MLQ43:4 (1997) 499-509
Schröder, Matthias, Fast Online Multiplication of Real Numbers, in: Reischuk, Rüdiger and Morvan, Michel (eds.), STACS 97, vol. 1200 of LNCS, Springer, Berlin, 1997, pages 81-92
Stallworth, Daniel T. and Roush, Fred W., An undecidable property of definite integrals, Proceedings of the American Mathematical Society125:7 (1997) 2147-2148
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 LNCS, 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 LNCS, 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
1996
Brattka, Vasco, Recursive characterization of computable real-valued functions and
relations, TCS162 (1996) 45-77
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, IC127 (1996) 11-25
Edalat, Abbas, Power domains and iterated function systems, IC124:2 (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, TCS162 (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, APAL78 (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 LNL, 1996, pages 50-63
Labhalla, Salah and Lombardi, Henri, Analyse de complexité pour un théorème de Hall sur les fractions
continues, MLQ42 (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, APAL81 (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, APAL80 (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, MLQ42 (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, MLQ42 (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, SIAM24 (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, TCS151 (1995) 163-193
Edalat, Abbas, Dynamical systems, measures, and fractals via domain theory, IC120:1 (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, TCS145 (1995) 241-270
Ko, Ker-I, Computational complexity of fixed points and intersection points, JC11 (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 LNCS, Springer, Berlin, 1995, pages 550-561
Margenstern, Maurice, L'école constructive de Markov, Revue d'histoire des mathématiques1:2 (1995) 271-305
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, IC122:1 (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, TCS151 (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, MLQ40:1 (1994) 35-43
Bridges, Douglas S. and Ishihara, Hajime, Absolute continuity and the uniqueness of the constructive functional
calculus, MLQ40:4 (1994) 519-527
Bridges, Douglas S. and Ishihara, Hajime, Erratum: "Complements of intersections in constructive mathematics", MLQ40:4 (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 LNCS, 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, MLQ39:1 (1993) 55-61
Bridges, Douglas S., Constructive notions of strict convexity, MLQ39:3 (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, APAL64 (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
Weihrauch, Klaus, Computability on computable metric spaces, TCS113 (1993) 191-210
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, JC8 (1992) 216-229
Ishihara, Hajime, Continuity properties in constructive mathematics, JSL57:2 (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, APAL58 (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 LNCS, 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 LNCS, 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, IC93:2 (1991) 333-349
Ishihara, Hajime, Constructive compact operators on a Hilbert space, APAL52 (1991) 31-37
Ishihara, Hajime, Continuity and nondiscontinuity in constructive mathematics, JSL56:4 (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, TCS83 (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, TCS82 (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, SIAM19:1 (1990) 182-204
Ishihara, Hajime, An omniscience principle, the König lemma and the Hahn-Banach
theorem, ZMLG36 (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, APAL50 (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), CR310 (1990) 483-488
Labhalla, Salah and Lombardi, Henri, Comparaison des différentes représentations des nombres réels
du point de vue des fonctionnelles récursives, CR311 (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
Richman, Fred, Polynomials and linear transformations, Linear Algebra and its Applications131:1 (1990) 131-137
Shioji, Naoki and Tanaka, Kazuyuki, Fixed Point Theory in Weak Second-Order Arithmetic, APAL47 (1990) 167-188
Skandalis, Kostas, Non-Recursiveness of the Operations on Real Numbers, TCS71 (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 LNM, Springer, Berlin, 1990, pages 363-387
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, 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 LNCS, Springer, Berlin, 1988, pages 372-384
Troelstra, A.S. and van Dalen, D., Constructivism in Mathematics, Volume 1, vol. 121 of SIL, North-Holland, Amsterdam, 1988
Troelstra, A.S. and van Dalen, D., Constructivism in Mathematics, Volume 2, vol. 123 of SIL, 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, APAL35 (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, ZMLG33 (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, APAL36 (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 LNCS, 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, APAL35 (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, APAL30 (1986) 173-200
Ko, Ker-I, On the computational complexity of best Chebyshev approximations, JC2 (1986) 95-120
Ko, Ker-I, On the continued fraction representation of computable real numbers, TCS47 (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 LNCS, 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, APAL30 (1986) 201-206
1985
Baigger, Günter, Die Nichtkonstruktivität des Brouwerschen Fixpunktsatzes, AML25 (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 GMW, 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, ZMLG31:3 (1985) 193-200
Hauck, Jürgen, Ein Kriterium für die konstruktive Lösbarkeit der Differentialgleichung
y'=f(x,y), ZMLG31 (1985) 357-362
Kalantari, I. and Weitkamp, G., Effective topological spaces, I. A definability theory, APAL29 (1985) 1-27
Kalantari, I. and Weitkamp, G., Effective topological spaces, II. A hierarchy, APAL29 (1985) 207-224
Kalantari, I. and Weitkamp, G., Effective topological spaces, III. Forcing and definability, APAL36 (1985) 17-27
Ko, Ker-I, Continuous optimization problems and a polynomial hierarchy of real
functions, JC1 (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, TCS38 (1985) 35-53
Kushner, Boris Abramovich, Differentiability and uniform continuity of constructive functions
(Russian), DAN281 (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
Weihrauch, Klaus, Type 2 recursion theory, TCS38 (1985) 17-33
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 LNM, 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, ZMLG30 (1984) 259-268
Hauck, Jürgen, Zur Wellengleichung mit konstruktiven Randbedingungen, ZMLG30 (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, TCS31 (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 LNM, 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, FI7:1 (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 LNM, 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, TAMS280 (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, JSL48 (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, TCS23 (1983) 287-304
Gordon, Dan and Shamir, Eliahu, Computation of recursive functionals using minimal initial segments, TCS23 (1983) 305-315
Hauck, Jürgen, Konstruktive reelle Funktionale und Operatoren, ZMLG29 (1983) 213-218
Kalantari, I. and Leggett, A., Maximality in effective topology, JSL48 (1983) 100-112
Kalantari, I. and Remmel, J.B., Degrees of recursively enumerable topological spaces, JSL48 (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 LNCS, 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, FI6:3-4 (1983) 257-274
Weihrauch, Klaus and Schäfer, G., Admissible representations of effective cpo's, TCS26 (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, TAMS269:2 (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
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 SIL, North-Holland, Amsterdam, 1982, pages 145-152
Kalantari, I. and Leggett, A., Simplicity in effective topology, JSL47 (1982) 169-183
Kalantari, Iraj, Major subsets in effective topology, in: Metakides, G. (ed.), Patras Logic Symposion, SIL, North-Holland, Amsterdam, 1982, pages 77-94
Ko, Ker-I, The maximum value problem and NP real numbers, JCSS24 (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, TCS20 (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), JSL47 (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 SIL, 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 SIL, North-Holland, Amsterdam, 1982, pages 261-273
Lifschitz, Vladimir, Constructive assertions in an extension of classical mathematics, JSL47:2 (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 LNM, 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 LNM, 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 LNM, Springer, Berlin, 1981, pages 314-320
Hauck, Jürgen, Berechenbarkeit in topologischen Räumen mit rekursiver Basis, ZMLG27 (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 LNCS, Springer, 1981
Weihrauch, Klaus and Schreiber, Ulrich, Embedding metric spaces into cpo's, TCS16 (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 LNCS, 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 SIL, 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
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 SIL, 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, JSL44 (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, ZMLG24:2 (1978) 113-114
Bridges, Douglas S., On weak operator compactness of the unit ball of L(H), ZMLG24:6 (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
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, ZMLG24:6 (1978) 495-507
Nogina, Elena Ju., Enumerable topological spaces (Russian), ZMLG24:2 (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 SIL, 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, TCS5:3 (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, ZMLG23 (1977) 181-191
Weihrauch, Klaus, A generalized computability thesis, in: Karpinski, Marek (ed.), Fundamentals of Computation Theory, vol. 56 of LNCS, 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
de Swart, H., Elements of Intuitionistic Analysis. Rolle's Theorem and Complete,
Totally bounded, Metric Spaces, ZMLG22:1 (1976) 289-298
de Swart, H., Elements of Intuitionistic Analysis II the Stone-Weierstrass
Theorem and Ascoli's Theorem, ZMLG22:1 (1976) 501-508
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
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), ZMLG22 (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", TAMS216 (1976) 393
Shepherdson, J.C., On the definition of computable function of a real variable, ZMLG22 (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
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, ZMLG21 (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
Wang, Paul S., The undecidability of the existence of zeros of real elementary functions, Journal of the Association for Computing Machinery21 (1974) 586-589
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
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, SIL, North-Holland, Amsterdam, 1973, pages 255-277
Kushner, Boris Abramovich, Computationally complex real numbers (Russian), ZMLG19 (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 LNM, 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, LNM, 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), LOMI32 (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 LNM, 1972, pages 83-96
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?, AMM79 (1972) 748-754
Nuber, J.A., A constructive ergodic theorem, TAMS164 (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, ZMLG17 (1971) 193-196
Hauck, Jürgen, Zur Präzisierung des Begriffes berechenbare reelle Funktion, ZMLG17 (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 LNM, 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, SIL, 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, SIL, 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, JCSS4 (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
Adler, Andrew, Some recursively unsolvable problems in analysis, Proceedings of the American Mathematical Society22 (1969) 523-526
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), LOMI16 (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, JACM15 (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), LOMI8 (1968) 21-28
Demuth, Osvald, The connection between Riemann and Lebesgue integrability of
constructive functions (Russian), LOMI8 (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), DAN180 (1968) 799-802
Richardson, D.B., Some undecidable problems involving elementary functions of a real
variable, JSL33 (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), LOMI4 (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), DAN166 (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, ZMLG11 (1965) 297-342
Kleene, Stephen C. and Vesli, R., The foundations of intuitionistic mathematics. Especially in relation
to recursive functions., SIL, 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
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), DAN156 (1964) 25-27
1963
Lachlan, A.H., Recursive real numbers, JSL28 (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), DAN152 (1963) 55-58
Orevkov, Vladimir P., Constructive mappings of polyhedra (Russian), DAN152 (1963) 278-281
Scarpellini, Bruno, Zwei unentscheidbare Probleme der Analysis, ZMLG9 (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
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
Goodstein, R.L., Recursive analysis, in: Heyting, A. (ed.), Constructivity in Mathematics, SIL, North-Holland, Amsterdam, 1959, pages 37-42
Grzegorczyk, Andrzej, Some approaches to constructive analysis, in: Heyting, A. (ed.), Constructivity in Mathematics, SIL, North-Holland, Amsterdam, 1959, pages 43-61
Klaua, Dieter, Die Präzisierung des Berechenbarkeitsbegriffes in der Analysis
mit Hilfe rationaler Funktionale, ZMLG5 (1959) 33-96
Kreisel, G., Interpretation of analysis by means of constructive functionals of
finite types, in: Heyting, A. (ed.), Constructivity in Mathematics, SIL, 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, SIL, 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, SIL, 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, SIL, North-Holland, Amsterdam, 1959, pages 254-265
Lacombe, Daniel, Les ensembles récursivement ouverts ou fermés, et leurs applications
à l'Analyse récursive, CR246 (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, FM44 (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, CR245 (1957) 1106-1109
Lacombe, Daniel, Les ensembles récursivement ouverts ou fermés, et leurs applications
à l'Analyse récursive, CR245 (1957) 1040-1043
Lacombe, Daniel, Quelques propriétés d'analyse récursive, CR244 (1957) 838-840,996-997
Mostowski, Andrzej, On computable sequences, FM44 (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
Grzegorczyk, Andrzej, On the definition of computable functionals, FM42 (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, Extension de la notion de fonction récursive aux fonctions d'une
ou plusieurs variables réelles I, CR240 (1955) 2478-2480
Lacombe, Daniel, Extension de la notion de fonction récursive aux fonctions d'une
ou plusieurs variables réelles II, CR241 (1955) 13-14
Lacombe, Daniel, Extension de la notion de fonction récursive aux fonctions d'une
ou plusieurs variables réelles III, CR241 (1955) 151-153
Lacombe, Daniel, Remarques sur les opérateurs récursifs et sur les fonctions
récursives d'une variable réelle, CR241 (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, ZMLG1 (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, JSL18:1 (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", JSL16 (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, JSL14:3 (1949) 145-158
1945
Rosenbloom, Paul C., An elementary constructive proof of the fundamental theorem of algebra, American Mathematical Monthly52:10 (1945) 562-570