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Volumn 26, Issue 2, 2001, Pages 107-137

Machine-checked implementation of Buchberger's algorithm

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER AIDED INSTRUCTION; COMPUTER PROGRAM LISTINGS; OPTIMIZATION; POLYNOMIALS; THEOREM PROVING;

EID: 17144443688     PISSN: 01687433     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026518331905     Document Type: Article
Times cited : (21)

References (29)
  • 1
    • 0032296875 scopus 로고    scopus 로고
    • Analytica - An experiment in combining theorem proving and symbolic computation
    • Bauer, A., Clarke, E. and Zhao, X.: Analytica - an experiment in combining theorem proving and symbolic computation, J. Automated Reasoning 21(3) (1998), 295-325.
    • (1998) J. Automated Reasoning , vol.21 , Issue.3 , pp. 295-325
    • Bauer, A.1    Clarke, E.2    Zhao, X.3
  • 2
    • 0343444133 scopus 로고    scopus 로고
    • CtCoq: A system presentation
    • Lecture Notes in Artif. Intell. , Springer-Verlag
    • Bertot, Y. and Bertot, J.: CtCoq: A system presentation, in Automated Deduction - CADE-13, Lecture Notes in Artif. Intell. 1104, Springer-Verlag, 1996.
    • (1996) Automated Deduction - CADE-13 , vol.1104
    • Bertot, Y.1    Bertot, J.2
  • 3
    • 0343008475 scopus 로고    scopus 로고
    • Introduction to Gröbner bases
    • B. Buchberger and F. Winkler (eds.), Cambridge University Press
    • Buchberger, B.: Introduction to Gröbner bases, in B. Buchberger and F. Winkler (eds.), Gröbner Bases and Applications, Cambridge University Press, 1998, pp. 3-31.
    • (1998) Gröbner Bases and Applications , pp. 3-31
    • Buchberger, B.1
  • 5
    • 0040342210 scopus 로고    scopus 로고
    • Classification of communication and cooperation mechanisms for logical and symbolic computation systems
    • Kluwer Series on Appl. Logic, Springer-Verlag
    • Calmet, J. and Homann, K.: Classification of communication and cooperation mechanisms for logical and symbolic computation systems, in First International Workshop 'Frontiers of Combining Systems' (FroCoS'96), Kluwer Series on Appl. Logic, Springer-Verlag, 1996, pp. 133-146.
    • (1996) First International Workshop 'Frontiers of Combining Systems' (FroCoS'96) , pp. 133-146
    • Calmet, J.1    Homann, K.2
  • 6
    • 84957617938 scopus 로고
    • Expressing computational complexity in constructive type theory
    • Lecture Notes in Artif. Intell. , Springer-Verlag, July
    • Constable, R. L.: Expressing computational complexity in constructive type theory, in International Workshop on Logic and Computational Complexity, Lecture Notes in Artif. Intell. 960, Springer-Verlag, July 1994.
    • (1994) International Workshop on Logic and Computational Complexity , vol.960
    • Constable, R.L.1
  • 8
    • 9444237054 scopus 로고    scopus 로고
    • Gröbner bases and type theory
    • T. Altenkirch, W. Naraschewski, and B. Reus (eds.), Lecture Notes in Comput. Sci., Springer-Verlag
    • Coquand, T. and Persson, H.: Gröbner bases and type theory, in T. Altenkirch, W. Naraschewski, and B. Reus (eds.), Types for Proofs and Programs, Lecture Notes in Comput. Sci. 1657, Springer-Verlag, 1999.
    • (1999) Types for Proofs and Programs , vol.1657
    • Coquand, T.1    Persson, H.2
  • 9
    • 84947432202 scopus 로고
    • Extracting text from proofs
    • Lecture Notes in Comput. Sci. , Springer-Verlag
    • Coscoy, Y., Kahn, G. and Théry, L.: Extracting text from proofs, in Typed Lambda Calculus and Its Applications, Lecture Notes in Comput. Sci. 902, Springer-Verlag, 1995, pp. 109-123.
    • (1995) Typed Lambda Calculus and Its Applications , vol.902 , pp. 109-123
    • Coscoy, Y.1    Kahn, G.2    Théry, L.3
  • 10
    • 84961368051 scopus 로고
    • Little theories
    • D. Kapur (ed.), Lecture Notes in Comput. Sci. , Springer-Verlag
    • Farmer, W. M., Guttman, J. D. and Thayer, F. J.: Little theories, in D. Kapur (ed.), Automated Deduction - CADE-11, Lecture Notes in Comput. Sci. 607, Springer-Verlag, 1992, pp. 567-581.
    • (1992) Automated Deduction - CADE-11 , vol.607 , pp. 567-581
    • Farmer, W.M.1    Guttman, J.D.2    Thayer, F.J.3
  • 14
    • 0032296538 scopus 로고    scopus 로고
    • A skeptic's approach to combining HOL and Maple
    • Harrison, J. R. and Théry, L.: A skeptic's approach to combining HOL and Maple, J. Automated Reasoning 21(3) (1998), 295-325.
    • (1998) J. Automated Reasoning , vol.21 , Issue.3 , pp. 295-325
    • Harrison, J.R.1    Théry, L.2
  • 20
    • 85025498724 scopus 로고
    • Synthesis of ML programs in the system Coq
    • Paulin-Mohring, C. and Werner, B.: Synthesis of ML programs in the system Coq, J. Symbolic Comput. 15(5-6) (1993), 607-640.
    • (1993) J. Symbolic Comput. , vol.15 , Issue.5-6 , pp. 607-640
    • Paulin-Mohring, C.1    Werner, B.2
  • 21
    • 84976206765 scopus 로고
    • Constructing recursion operators in intuitionistic type theory
    • Paulson, L. C.: Constructing recursion operators in intuitionistic type theory, J. Symbolic Comput. 2(4) (1986), 325-355.
    • (1986) J. Symbolic Comput. , vol.2 , Issue.4 , pp. 325-355
    • Paulson, L.C.1
  • 22
    • 0003267035 scopus 로고
    • Isabelle: A Generic Theorem Prover
    • Springer-Verlag
    • Paulson, L. C.: Isabelle: A Generic Theorem Prover, Lecture Notes in Comput. Sci. 828, Springer-Verlag, 1994.
    • (1994) Lecture Notes in Comput. Sci. , vol.828
    • Paulson, L.C.1
  • 23
    • 0343444129 scopus 로고    scopus 로고
    • Pottier, L.: Dickson's lemma, Available at ftp: //ftp-sop.inria.fr/lemme/Loic.Pottier/ MON/, 1996.
    • (1996) Dickson's Lemma
    • Pottier, L.1
  • 24
    • 15544372418 scopus 로고
    • An overview of the MIZAR projet
    • onftp.cs.chalmers.se
    • Rudnicki, P.: An overview of the MIZAR projet, in Workshop on Types and Proofs for Programs, Available by ftp at pub/cs-reports/baastad.92/proc.ps.Z on ftp.cs.chalmers.se, 1992.
    • (1992) Workshop on Types and Proofs for Programs
    • Rudnicki, P.1
  • 25
    • 84957694407 scopus 로고    scopus 로고
    • PVS: Combining specification, proof checking, and model checking
    • CAV '96, Springer-Verlag, July
    • Rushby, J. M., Shankar, N. and Srivas, M.: PVS: Combining specification, proof checking, and model checking, in CAV '96, Lecture Notes in Comput. Sci. 1102, Springer-Verlag, July 1996.
    • (1996) Lecture Notes in Comput. Sci. , vol.1102
    • Rushby, J.M.1    Shankar, N.2    Srivas, M.3
  • 26
  • 27
    • 84957103413 scopus 로고    scopus 로고
    • A certified version of Buchberger's algorithm
    • Lecture Notes in Artif. Intell. , Springer-Verlag
    • Théry, L.: A certified version of Buchberger's algorithm, in Automated Deduction - CADE-15, Lecture Notes in Artif. Intell. 1421, Springer-Verlag, 1998, pp. 349-364.
    • (1998) Automated Deduction - CADE-15 , vol.1421 , pp. 349-364
    • Théry, L.1
  • 28
    • 0343008466 scopus 로고    scopus 로고
    • Personal communication
    • Vega, G. P. and Werner, B.: Personal communication, 1998.
    • (1998)
    • Vega, G.P.1    Werner, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.