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Volumn 26, Issue 2, 2001, Pages 205-221

Warshall algorithm and Dickson's lemma: Two examples of realistic program extraction

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; THEOREM PROVING;

EID: 0035252984     PISSN: 01687433     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026748613865     Document Type: Article
Times cited : (23)

References (20)
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    • Benl, H. and Schwichtenberg, H.: Formal correctness proofs of functional programs: Dijkstra's algorithm, a case study, in U. Berger and H. Schwichtenberg (eds), Computational Logic, Computer and Systems Sci. Series F 165, Springer-Verlag, Berlin, 1999, pp. 113-126.
    • (1999) Computational Logic , pp. 113-126
    • Benl, H.1    Schwichtenberg, H.2
  • 4
    • 0010850745 scopus 로고
    • Program extraction from normalization proofs
    • M. Bezem and J. Groote (eds), Lecture Notes in Comput. Sci. Springer-Verlag, Berlin
    • Berger, U.: Program extraction from normalization proofs, in M. Bezem and J. Groote (eds), Typed Lambda Calculi and Applications, Lecture Notes in Comput. Sci. 165, Springer-Verlag, Berlin, 1993, pp. 91-106.
    • (1993) Typed Lambda Calculi and Applications , vol.165 , pp. 91-106
    • Berger, U.1
  • 6
    • 0019397834 scopus 로고
    • Program development as a formal activity
    • Broy, M. and Pepper, P.: Program development as a formal activity, IEEE Trans. on Software Eng. 7(1) (1981), 14-22.
    • (1981) IEEE Trans. on Software Eng. , vol.7 , Issue.1 , pp. 14-22
    • Broy, M.1    Pepper, P.2
  • 7
    • 70349930710 scopus 로고    scopus 로고
    • Gröbner bases in type theory
    • T. Altenkirch, W. Naraschewski, and B. Reus (eds), Lecture Notes in Comput. Sci. Springer-Verlag, Berlin
    • Coquand, T. and Persson, H.: Gröbner bases in type theory, in T. Altenkirch, W. Naraschewski, and B. Reus (eds), Types for Proofs and Programs, Lecture Notes in Comput. Sci. 1657, Springer-Verlag, Berlin, 1999.
    • (1999) Types for Proofs and Programs , vol.1657
    • Coquand, T.1    Persson, H.2
  • 8
    • 0000709547 scopus 로고
    • Finiteness of the odd perfect and primitive abundant numbers with n distinct prime factors
    • Dickson, L.: Finiteness of the odd perfect and primitive abundant numbers with n distinct prime factors, Amer. J. Math. 35 (1913), 413-422.
    • (1913) Amer. J. Math. , vol.35 , pp. 413-422
    • Dickson, L.1
  • 10
    • 0001796972 scopus 로고
    • Classically and intuitionistically provably recursive functions
    • D. Scott and G. Müller (eds), Lecture Notes in Math. Springer-Verlag, Berlin
    • Friedman, H.: Classically and intuitionistically provably recursive functions, in D. Scott and G. Müller (eds), Higher Set Theory, Lecture Notes in Math. 669, Springer-Verlag, Berlin, 1978, pp. 21-28.
    • (1978) Higher Set Theory , vol.669 , pp. 21-28
    • Friedman, H.1
  • 12
    • 0001776862 scopus 로고
    • Interpretation of analysis by means of constructive functionals of finite types
    • A. Heyting (ed.), North-Holland, Amsterdam
    • Kreisel, G.: Interpretation of analysis by means of constructive functionals of finite types, in A. Heyting (ed.), Constructivity in Mathematics, North-Holland, Amsterdam, 1959, pp. 101-128.
    • (1959) Constructivity in Mathematics , pp. 101-128
    • Kreisel, G.1
  • 13
    • 0000275420 scopus 로고
    • Syntactic translations and provably recursive functions
    • Leivant, D.: Syntactic translations and provably recursive functions, J. Symbolic Logic 50(3) (1985), 682-688.
    • (1985) J. Symbolic Logic , vol.50 , Issue.3 , pp. 682-688
    • Leivant, D.1
  • 14
    • 0003834856 scopus 로고
    • Technical Report 90-1151, Dept. of Comp. Science, Cornell Univ., Ithaca, New York. PhD thesis
    • Murthy, C.: Extracting constructive content from classical proofs, Technical Report 90-1151, Dept. of Comp. Science, Cornell Univ., Ithaca, New York. PhD thesis, 1990.
    • (1990) Extracting Constructive Content from Classical Proofs
    • Murthy, C.1
  • 16
    • 0343879870 scopus 로고
    • Program development through proof transformation
    • W. Sieg (ed.), Contemp. Math. 106, Amer. Math. Soc., Providence, RI
    • Pfenning, F.: Program development through proof transformation, in W. Sieg (ed.), Logic and Computation, Contemp. Math. 106, Amer. Math. Soc., Providence, RI, 1990, pp. 251-262.
    • (1990) Logic and Computation , vol.106 , pp. 251-262
    • Pfenning, F.1
  • 17
    • 0001748856 scopus 로고
    • Intensional interpretations of functionals of finite type I
    • Tait, W. W.: Intensional interpretations of functionals of finite type I, J. Symbolic Logic 32(2) (1967), 198-212.
    • (1967) J. Symbolic Logic , vol.32 , Issue.2 , pp. 198-212
    • Tait, W.W.1
  • 20
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    • Ramsey's theorem and the pigeonhole principle in intuitionistic mathematics
    • Veldman, W. and Bezem, M.: Ramsey's theorem and the pigeonhole principle in intuitionistic mathematics, J. London Math. Soc. 47 (1993), 193-211.
    • (1993) J. London Math. Soc. , vol.47 , pp. 193-211
    • Veldman, W.1    Bezem, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.