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Volumn 5170 LNCS, Issue , 2008, Pages 246-261

Certified exact transcendental real number computation in Coq

Author keywords

[No Author keywords available]

Indexed keywords

FORMAL LOGIC;

EID: 57049153511     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-71067-7_21     Document Type: Conference Paper
Times cited : (37)

References (20)
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    • Cruz-Filipe, L., Geuvers, H., Wiedijk, F.: C-CoRN: the constructive Coq repository at Nijmegen. In: Asperti, A., Bancerek, G., Trybulec, A. (eds.) MKM 2004. LNCS, vol. 3119, pp. 88-103. Springer, Heidelberg (2004)
  • 4
    • 33644906735 scopus 로고    scopus 로고
    • Cruz-Filipe, L., Spitters, B.: Program extraction from large proof developments. In: Basin, D., Wolff, B. (eds.) TPHOLs 2003. LNCS, 2758, pp. 205-220. Springer, Heidelberg (2003)
    • Cruz-Filipe, L., Spitters, B.: Program extraction from large proof developments. In: Basin, D., Wolff, B. (eds.) TPHOLs 2003. LNCS, vol. 2758, pp. 205-220. Springer, Heidelberg (2003)
  • 5
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    • Cruz-Filipe, L., Letouzey, P.: A large-scale experiment in executing extracted programs. Electr. Notes Theor. Comput. Sci. 151(1), 75-91 (2006)
    • Cruz-Filipe, L., Letouzey, P.: A large-scale experiment in executing extracted programs. Electr. Notes Theor. Comput. Sci. 151(1), 75-91 (2006)
  • 6
    • 33746062354 scopus 로고    scopus 로고
    • Constructive reals in Coq: Axioms and categoricity
    • Callaghan, P, Luo, Z, McKinna, J, Pollack, R, eds, TYPES 2000, Springer, Heidelberg
    • Geuvers, H., Niqui, M.: Constructive reals in Coq: Axioms and categoricity. In: Callaghan, P., Luo, Z., McKinna, J., Pollack, R. (eds.) TYPES 2000. LNCS, vol. 2277, pp. 79-95. Springer, Heidelberg (2002)
    • (2002) LNCS , vol.2277 , pp. 79-95
    • Geuvers, H.1    Niqui, M.2
  • 7
    • 33745682708 scopus 로고    scopus 로고
    • A computer-checked proof of the four colour theorem
    • Technical report, Microsoft Research Cambridge
    • Gonthier, G.: A computer-checked proof of the four colour theorem. Technical report, Microsoft Research Cambridge (2005)
    • (2005)
    • Gonthier, G.1
  • 8
    • 27744532513 scopus 로고    scopus 로고
    • A computer verification of the Kepler conjecture
    • Beijing, Higher Ed. Press
    • Hales, T.C.: A computer verification of the Kepler conjecture. In: Proceedings of the International Congress of Mathematicians, Beijing, vol. III, pp. 795-804. Higher Ed. Press (2002)
    • (2002) Proceedings of the International Congress of Mathematicians , vol.3 , pp. 795-804
    • Hales, T.C.1
  • 10
    • 0012651193 scopus 로고
    • Completing the rationals and metric spaces in LEGO
    • New York, NY, USA, pp, Cambridge University Press, Cambridge
    • Jones, C.: Completing the rationals and metric spaces in LEGO. In: The second annual Workshop on Logical environments, New York, NY, USA, pp. 297-316. Cambridge University Press, Cambridge (1993)
    • (1993) The second annual Workshop on Logical environments , pp. 297-316
    • Jones, C.1
  • 11
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    • Certified exact real arithmetic using co-induction in arbitrary integer base
    • Functional and Logic Programming Symposium FLOPS, Springer, Heidelberg
    • Julien, N.: Certified exact real arithmetic using co-induction in arbitrary integer base. In: Functional and Logic Programming Symposium (FLOPS). LNCS, Springer, Heidelberg (2008)
    • (2008) LNCS
    • Julien, N.1
  • 12
    • 26844465119 scopus 로고    scopus 로고
    • Muñoz, C., Lester, D.: Real number calculations and theorem proving. In: Hurd, J., Melham, T. (eds.) TPHOLs 2005. LNCS, 3603, pp. 195-210. Springer, Heidelberg (2005)
    • Muñoz, C., Lester, D.: Real number calculations and theorem proving. In: Hurd, J., Melham, T. (eds.) TPHOLs 2005. LNCS, vol. 3603, pp. 195-210. Springer, Heidelberg (2005)
  • 14
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    • A monadic, functional implementation of real numbers. Mathematical. Structures in Comp
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    • (2007) Sci , vol.17 , Issue.1 , pp. 129-159
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    • Richman, F.: Real numbers and other completions. Math. Log. Q. 54(1), 98-108 (2008)
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.