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Volumn 2277 LNCS, Issue , 2002, Pages 79-95

Constructive reals in Coq: Axioms and categoricity

Author keywords

[No Author keywords available]

Indexed keywords

GROUP THEORY; ARTIFICIAL INTELLIGENCE; COMPUTERS;

EID: 33746062354     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45842-5_6     Document Type: Conference Paper
Times cited : (17)

References (13)
  • 1
    • 0004276089 scopus 로고
    • Number 279 in Grundlehren der mathematischen Wissenschaften. Springer, Berlin
    • E. Bishop and D. Bridges. Constructive Analysis. Number 279 in Grundlehren der mathematischen Wissenschaften. Springer, Berlin, 1985.
    • (1985) Constructive Analysis
    • Bishop, E.1    Bridges, D.2
  • 2
    • 0002007061 scopus 로고    scopus 로고
    • Constructive mathematics: A foundation for computable analysis
    • D. Bridges. Constructive mathematics: a foundation for computable analysis. Theoretical Computer Science, 219:95-109, 1999.
    • (1999) Theoretical Computer Science , vol.219 , pp. 95-109
    • Bridges, D.1
  • 3
    • 84874898922 scopus 로고    scopus 로고
    • Constructive mathematics in theory and programming practice
    • D. Bridges and S. Reeves. Constructive mathematics in theory and programming practice. Philosophia Mathematica, 7, 1999.
    • (1999) Philosophia Mathematica , vol.7
    • Bridges, D.1    Reeves, S.2
  • 4
    • 0012651905 scopus 로고
    • Implementing constructive real analysis
    • J.P. Myers and M.J. O'Donnel, editors, number 613 in LNCS
    • J. Chirimar and D. Howe. Implementing constructive real analysis. In J.P. Myers and M.J. O'Donnel, editors, Constructivity in Computer Science, number 613 in LNCS, pages 165-178, 1992.
    • (1992) Constructivity in Computer Science , pp. 165-178
    • Chirimar, J.1    Howe, D.2
  • 5
    • 84977570798 scopus 로고    scopus 로고
    • A coinductive approach to real numbers
    • Th. Coquand, P. Dybjer, B. Nordström, and J. Smith, editors, number 1956 in LNCS
    • A. Ciaffaglione and P. Di Gianantonio. A coinductive approach to real numbers. In Th. Coquand, P. Dybjer, B. Nordström, and J. Smith, editors, Types 1999 Workshop, Lökeberg, Sweden, number 1956 in LNCS, pages 114-130, 2000.
    • (2000) Types 1999 Workshop, Lökeberg, Sweden , pp. 114-130
    • Ciaffaglione, A.1    Di Gianantonio, P.2
  • 7
    • 18944368028 scopus 로고    scopus 로고
    • Field: une procédure de décision pour les nombres réels en Coq
    • INRIA
    • D. Delahaye and M. Mayero. Field: une procédure de décision pour les nombres réels en Coq. In Proceedings of JFLA 2001. INRIA, 2001.
    • (2001) Proceedings of JFLA 2001
    • Delahaye, D.1    Mayero, M.2
  • 12
    • 0012651193 scopus 로고
    • Completing the rationals and metric spaces in LEGO
    • G. Huet and G. Plotkin, editors. CUP
    • C. Jones. Completing the rationals and metric spaces in LEGO. In G. Huet and G. Plotkin, editors, Logical Environments, pages 297-316. CUP, 1993.
    • (1993) Logical Environments , pp. 297-316
    • Jones, C.1
  • 13
    • 84874876256 scopus 로고
    • volume 121 of Studies in Logic and The Foundation of Math. North Holland
    • A. Troelstra and D. van Dalen. Constructivism in Mathematics, vol I, volume 121 of Studies in Logic and The Foundation of Math. North Holland, 1988. 342 pp.
    • (1988) Constructivism in Mathematics , vol.1
    • Troelstra, A.1    Van Dalen, D.2


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