메뉴 건너뛰기




Volumn 1338, Issue , 1997, Pages 104-121

A foundation for computable analysis

Author keywords

[No Author keywords available]

Indexed keywords

DIGITAL COMPUTERS; FUNCTIONS; INFORMATION SCIENCE;

EID: 84958055820     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-63774-5_100     Document Type: Conference Paper
Times cited : (7)

References (45)
  • 3
    • 0022047854 scopus 로고
    • Multiplication is the easiest nontrivial arithmetic function
    • Helmut Alt. Multiplication is the easiest nontrivial arithmetic function. Theoretical Computer Science, 36:333-339, 1985.
    • (1985) Theoretical Computer Science , vol.36 , pp. 333-339
    • Alt, H.1
  • 5
    • 77956691565 scopus 로고    scopus 로고
    • Feasible real random access machines
    • In Keith G. Jeffrey, Jaroslav Král, and Miroslav Bartošek,editors, Berlin, 1996. Springer. 23rd Seminar on Current Trends in Theory and Practice of Informatics, Milovy, Czech Republik, November 23-30
    • Vasco Brattka and Peter Hertling. Feasible real random access machines. In Keith G. Jeffrey, Jaroslav Král, and Miroslav Bartošek, editors, SOF-SEM’96: Theory and Practice of Informatics, volume 1175 of Lecture Notes in Computer Science, pages 335-342, Berlin, 1996. Springer. 23rd Seminar on Current Trends in Theory and Practice of Informatics, Milovy, Czech Republik, November 23-30, 1996.
    • (1996) SOF-SEM’96: Theory and Practice of Informatics, Volume 1175 of Lecture Notes in Computer Science , pp. 335-342
    • Brattka, V.1    Hertling, P.2
  • 7
    • 0039583061 scopus 로고
    • Domain representability of metric spaces
    • In Ker-I Ko and Klaus Weihrauch, editors, FernUniversität Hagen, September 1995. CCA Workshop, Hagen, August 19-20
    • Jens Blanek. Domain representability of metric spaces. In Ker-I Ko and Klaus Weihrauch, editors, Computability and Complexity in Analysis, volume 190 of Informatik-Berichte, pages 1-10. FernUniversität Hagen, September 1995. CCA Workshop, Hagen, August 19-20, 1995.
    • (1995) Computability and Complexity in Analysis, Volume 190 of Informatik-Berichte , pp. 1-10
    • Blanek, J.1
  • 8
    • 0013378456 scopus 로고
    • Uniform computational complexity of the derivatives of CM-functions
    • In Ker-I Ko and Klaus Weihrauch, editors, FernUniversitätHagen, September 1995. CCA Workshop, Hagen, August 19-20
    • M-functions. In Ker-I Ko and Klaus Weihrauch, editors, Computability and Complexity in Analysis, volume 190 of Informatik-Berichte, pages 99-104. FernUniversität Hagen, September 1995. CCA Workshop, Hagen, August 19-20, 1995.
    • (1995) Computability and Complexity in Analysis, Volume 190 of Informatik-Berichte , pp. 99-104
    • Bläser, M.1
  • 10
    • 0016939583 scopus 로고
    • Fast multiple-precision evaluation of elementary functions
    • R. P. Brent. Fast multiple-precision evaluation of elementary functions. Journal of the Association for Computing Machinery, 23(2):242-251, 1976.
    • (1976) Journal of the Association for Computing Machinery , vol.23 , Issue.2 , pp. 242-251
    • Brent, R.P.1
  • 11
    • 84968516134 scopus 로고
    • On a theory of computation and complexity over the real numbers: A’/’-completeness, recursive functions and universal machines
    • Lenore Blum, Mike Shub, and Steve Smale. On a theory of computation and complexity over the real numbers: A’/’-completeness, recursive functions and universal machines. Bulletin of the American Mathematical Society, 21(1):1-46, July 1989.
    • (1989) Bulletin of the American Mathematical Society , vol.21 , Issue.1 , pp. 1-46
    • Blum, L.1    Shub, M.2    Smale, S.3
  • 12
    • 0003136051 scopus 로고
    • Algorithmic operators in constructive complete separable metric spaces
    • (in Russian)
    • G. S. Ceitin. Algorithmic operators in constructive complete separable metric spaces. Doklady Akad. Nauk, 128:49-52, 1959. (in Russian).
    • (1959) Doklady Akad. Nauk , vol.128 , pp. 49-52
    • Ceitin, G.S.1
  • 13
    • 0001790104 scopus 로고    scopus 로고
    • Real number computation and domain theory
    • Pietro Di Gianantonio. Real number computation and domain theory. Information and Computation, 127:11-25, 1996.
    • (1996) Information and Computation , vol.127 , pp. 11-25
    • Di Gianantonio, P.1
  • 14
    • 0029406623 scopus 로고
    • Domain theory and integration
    • Abbas Edalat. Domain theory and integration. Theoretical Computer Science, 151:163-193, 1995.
    • (1995) Theoretical Computer Science , vol.151 , pp. 163-193
    • Edalat, A.1
  • 17
    • 0002113398 scopus 로고
    • On the definitions of computable real continuous functions
    • Andrzej Grzegorczyk. On the definitions of computable real continuous functions. Fundamenta Mathematicae, 44:61-71, 1957.
    • (1957) Fundamenta Mathematicae , vol.44 , pp. 61-71
    • Grzegorczyk, A.1
  • 22
    • 0010122757 scopus 로고    scopus 로고
    • A unified approach to constructive and recursive analysis
    • In M. M. Richter, E. Börger, W. Oberschelp, B. Schinzel, and W. Thomas, editors, Berlin, 1984. Springer. Proceedings of the Logic Colloquium, Aachen, July 18-23, 1983, Part II
    • Christoph Kreitz and Klaus Weihrauch. A unified approach to constructive and recursive analysis. In M. M. Richter, E. Börger, W. Oberschelp, B. Schinzel, and W. Thomas, editors, Computation and Proof Theory, volume 1104 of Lecture Notes in Mathematics, pages 259-278, Berlin, 1984. Springer. Proceedings of the Logic Colloquium, Aachen, July 18-23, 1983, Part II.
    • Computation and Proof Theory, Volume 1104 of Lecture Notes in Mathematics , pp. 259-278
    • Kreitz, C.1    Weihrauch, K.2
  • 24
  • 25
    • 0003236553 scopus 로고
    • Methods and applications of interval analysis
    • Ramon E. Moore. Methods and applications of interval analysis. SIAM Journal on Computing, 1979.
    • (1979) SIAM Journal on Computing
    • Moore, R.E.1
  • 27
    • 0002357859 scopus 로고
    • The real number model in numerical analysis
    • Erich Novak. The real number model in numerical analysis. Journal of Complexity, 11(1):57-73, 1995.
    • (1995) Journal of Complexity , vol.11 , Issue.1 , pp. 57-73
    • Novak, E.1
  • 32
    • 84949643786 scopus 로고    scopus 로고
    • Fast online multiplication of real numbers
    • In Rüdiger Reischuk and Michel Morvan, editors, Berlin, 1997. Springer. 14th Annual Symposium on Theoretical Aspects of Computer Science, Lübeck, Germany, February 27-March 1
    • Matthias Schröder. Fast online multiplication of real numbers. In Rüdiger Reischuk and Michel Morvan, editors, STAGS 97, volume 1200 of Lecture Notes in Computer Science, pages 81-92, Berlin, 1997. Springer. 14th Annual Symposium on Theoretical Aspects of Computer Science, Lübeck, Germany, February 27-March 1, 1997.
    • (1997) STAGS 97, Volume 1200 of Lecture Notes in Computer Science , pp. 81-92
    • Schröder, M.1
  • 34
    • 53149089225 scopus 로고
    • In E. Börger, G. Jäger, H. Kleine Büning, and M. M. Richter,editors, Computer Science Logic, volume 626 of Lecture Notes in Computer Science, Berlin, 1992. Springer. Proceedings of the 5th Workshop, CSĽ91, Berne Switzerland, October
    • A. S. Troelstra. Comparing the theory of representations and constructive mathematics. In E. Börger, G. Jäger, H. Kleine Büning, and M. M. Richter,editors, Computer Science Logic, volume 626 of Lecture Notes in Computer Science, pages 382-395, Berlin, 1992. Springer. Proceedings of the 5th Workshop, CSĽ91, Berne Switzerland, October 1991.
    • (1991) Comparing the Theory of Representations and Constructive Mathematics , pp. 382-395
    • Troelstra, A.S.1
  • 35
    • 84960561455 scopus 로고
    • On computable numbers, with an application to the “Entscheidiingsproblem”
    • Alan M. Turing. On computable numbers, with an application to the “Entscheid iingsproblem”. Proceedings of the London Mathematical Society, 42(2):230-265, 1936.
    • (1936) Proceedings of the London Mathematical Society , vol.42 , Issue.2 , pp. 230-265
    • Turing, A.M.1
  • 36
    • 84960612623 scopus 로고
    • On computable numbers, with an application to the “Entscheidungsproblem”.A correction
    • Alan M. Turing. On computable numbers, with an application to the “Entscheidungsproblem”. A correction. Proceedings of the London Mathematical Society, 43(2):544-546, 1937.
    • (1937) Proceedings of the London Mathematical Society , vol.43 , Issue.2 , pp. 544-546
    • Turing, A.M.1
  • 41
    • 0003601768 scopus 로고    scopus 로고
    • Informatik Berichte 171, Fern Universität Hagen, Hagen, July 1995. 2nd edition
    • Klaus Weihrauch. A simple introduction to computable analysis. Informatik Berichte 171, Fern Universität Hagen, Hagen, July 1995. 2nd edition.
    • A Simple Introduction to Computable Analysis
    • Weihrauch, K.1
  • 42
    • 84958100190 scopus 로고    scopus 로고
    • Computability on the probability measures on the Borel sets of the unit interval
    • In Ker-I Ko, Norbert Mflller, and Klaus Weihrauch, editors, Universität Trier, 1996. Second CCA Workshop, Trier, August 22-23
    • Klaus Weihrauch. Computability on the probability measures on the Borel sets of the unit interval. In Ker-I Ko, Norbert Mflller, and Klaus Weihrauch, editors, Computability and Complexity in Analysis, pages 99-112. Universität Trier, 1996. Second CCA Workshop, Trier, August 22-23, 1996.
    • (1996) Computability and Complexity in Analysis , pp. 99-112
    • Weihrauch, K.1
  • 43
    • 0002062714 scopus 로고    scopus 로고
    • A foundation for computable analysis
    • In Douglas S. Bridges, Cristian S. Calude, Jeremy Gibbons, Steve Reeves, and Ian H, Witten, editors, Singapore, Springer. Proceedings of DMTCS’96
    • Klaus Weihrauch. A foundation for computable analysis. In Douglas S. Bridges, Cristian S. Calude, Jeremy Gibbons, Steve Reeves, and Ian H, Witten, editors, Combinatorics, Complexity, and Logic, Discrete Mathematics and Theoretical Computer Science, pages 66-89, Singapore, 1997. Springer. Proceedings of DMTCS’96.
    • (1997) Combinatorics, Complexity, and Logic, Discrete Mathematics and Theoretical Computer Science , pp. 66-89
    • Weihrauch, K.1
  • 44
    • 0000162476 scopus 로고
    • Computing with infinite objects
    • E. Wiedmer. Computing with infinite objects. Theoretical Computer Science, 10:133-155, 1980.
    • (1980) Theoretical Computer Science , vol.10 , pp. 133-155
    • Wiedmer, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.