메뉴 건너뛰기




Volumn 18, Issue 1, 1997, Pages 105-134

Unification Algorithms for Eliminating and Introducing Quantifiers in Natural Deduction Automated Theorem Proving

Author keywords

Automated theorem proving; Gentzen system; Natural deduction; Unification algorithm

Indexed keywords

ARTIFICIAL INTELLIGENCE; FORMAL LOGIC; PROBLEM SOLVING; THEOREM PROVING;

EID: 0031076777     PISSN: 01687433     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1005749401809     Document Type: Article
Times cited : (7)

References (36)
  • 2
    • 85029416193 scopus 로고
    • Transforming mating into natural deduction proofs
    • G. Goos and J. Hartmanis (eds), Proc. 5th Conference on Automated Deduction, Les Arcs, France, Springer-Verlag, Berlin
    • Andrews, P. B.: Transforming mating into natural deduction proofs, in G. Goos and J. Hartmanis (eds), Proc. 5th Conference on Automated Deduction, Les Arcs, France, Lecture Notes in Computer Science 138, Springer-Verlag, Berlin, 1980.
    • (1980) Lecture Notes in Computer Science , vol.138
    • Andrews, P.B.1
  • 3
    • 0026135885 scopus 로고
    • A resolution rule for well-formed formulae
    • Bhatta, K. S. H. S. R. and Karnick, H.: A resolution rule for well-formed formulae, Theor. Comp. Sci. 81(2) (1991), 223-235.
    • (1991) Theor. Comp. Sci. , vol.81 , Issue.2 , pp. 223-235
    • Bhatta, K.S.H.S.R.1    Karnick, H.2
  • 4
    • 0017525442 scopus 로고
    • Non-resolution theorem proving
    • Bledsoe, W. W.: Non-resolution theorem proving, Art. Intelligence 9 (1977), 1-35.
    • (1977) Art. Intelligence , vol.9 , pp. 1-35
    • Bledsoe, W.W.1
  • 7
    • 0011621721 scopus 로고
    • The Halting Problem
    • Spring
    • Burkholder, L.: The Halting Problem, SIGACT News 18, No. 3 (Spring 1987), 48-60.
    • (1987) SIGACT News 18 , vol.3 , pp. 48-60
    • Burkholder, L.1
  • 8
    • 2342449359 scopus 로고
    • A 76th Automated Theorem Proving Problem
    • April
    • Burkholder, L.: A 76th Automated Theorem Proving Problem, AAR Newsletter 8, April 1987.
    • (1987) AAR Newsletter 8
    • Burkholder, L.1
  • 11
    • 0003145375 scopus 로고
    • Semantically guided first-order theorem proving using hyper-linking
    • Nancy, France, June 28-July 1
    • Chu, H. and Plaisted, D.: Semantically guided first-order theorem proving using hyper-linking, in Proc. 12th Conference on Automated Deduction, Nancy, France, June 28-July 1, 1994.
    • (1994) Proc. 12th Conference on Automated Deduction
    • Chu, H.1    Plaisted, D.2
  • 12
    • 2342512239 scopus 로고
    • Sub-problem finder and instance checker: Two cooperating preprocessors for theorem provers
    • De Champeaux, D.: Sub-problem finder and instance checker: Two cooperating preprocessors for theorem provers, IJCAI 6 (1979), 191-196.
    • (1979) IJCAI , vol.6 , pp. 191-196
    • De Champeaux, D.1
  • 13
    • 0002993384 scopus 로고
    • The Halting Problem: An Automatically Generated Proof
    • Aug.
    • Egly, U. and Rath, T.: The Halting Problem: An Automatically Generated Proof, AAR Newsletter No. 30, Aug. 1995.
    • (1995) AAR Newsletter No. 30
    • Egly, U.1    Rath, T.2
  • 14
    • 84942118207 scopus 로고
    • Investigations into logical deductions
    • M. E. Szabo (ed.), North-Holland, Amsterdam
    • Gentzen, G.: Investigations into logical deductions, in M. E. Szabo (ed.), The Collected Papers of Gerhard Gentzen, North-Holland, Amsterdam, 1969, pp. 68-131.
    • (1969) The Collected Papers of Gerhard Gentzen , pp. 68-131
    • Gentzen, G.1
  • 15
    • 0011688074 scopus 로고
    • Andrews' Challenge Problem: Clause Conversion and Solutions
    • December
    • Guha, A. and Zhang, H.: Andrews' Challenge Problem: Clause Conversion and Solutions, AAR Newsletter No. 14, December 1989.
    • (1989) AAR Newsletter No. 14
    • Guha, A.1    Zhang, H.2
  • 16
  • 18
    • 2342597159 scopus 로고
    • Unification algorithm with quantifiers and applications to automatic natural deduction
    • Li Dafa: Unification algorithm with quantifiers and applications to automatic natural deduction, in Proc. 4th Florida Artificial Intelligence Research Symposium, 1992, pp. 196-200.
    • (1992) Proc. 4th Florida Artificial Intelligence Research Symposium , pp. 196-200
    • Li, D.1
  • 19
    • 85026904003 scopus 로고
    • A natural deduction automated theorem proving system
    • NY, June 15-18
    • Li Dafa: A natural deduction automated theorem proving system, in Proc. 11th International Conference on Automated Deduction, NY, June 15-18, 1992, pp. 668-672.
    • (1992) Proc. 11th International Conference on Automated Deduction , pp. 668-672
    • Li, D.1
  • 20
    • 2342627358 scopus 로고
    • A Mechanical Proof of the Halting Problem
    • June
    • Li Dafa: A Mechanical Proof of the Halting Problem, AAR Newsletter No. 23, June 1993.
    • (1993) AAR Newsletter No. 23
    • Li, D.1
  • 23
    • 84958763811 scopus 로고
    • The Formalization of the Halting Problem is Not Suitable for Describing the Halting Problem
    • October
    • Li Dafa: The Formalization of the Halting Problem is Not Suitable for Describing the Halting Problem, AAR Newsletter No. 27, October 1994.
    • (1994) AAR Newsletter No. 27
    • Li, D.1
  • 24
    • 0028094298 scopus 로고
    • Proof search in first-order linear logic and other cut-free sequent calculi
    • Lincoln, P. D. and Shankar, N.: Proof search in first-order linear logic and other cut-free sequent calculi, in Proc. Symposium on Logic in Computer Science, 1994, pp. 282-291.
    • (1994) Proc. Symposium on Logic in Computer Science , pp. 282-291
    • Lincoln, P.D.1    Shankar, N.2
  • 29
    • 0024639811 scopus 로고
    • MUSCADET: An automatic theorem proving system using knowledge and meta-knowledge in mathematics
    • Pastre, D.: MUSCADET: An automatic theorem proving system using knowledge and meta-knowledge in mathematics, Art. Intelligence 38 (1989), 257-318.
    • (1989) Art. Intelligence , vol.38 , pp. 257-318
    • Pastre, D.1
  • 31
    • 51249178936 scopus 로고
    • Seventy-five problems for testing automatic theorem provers
    • Pelletier, J.: Seventy-five problems for testing automatic theorem provers, J. Auto. Reas. 2 (1986), 191-216.
    • (1986) J. Auto. Reas. , vol.2 , pp. 191-216
    • Pelletier, J.1
  • 32
    • 84918983692 scopus 로고
    • A machine-oriented logic based on the resolution principle
    • Robinson, J. A.: A machine-oriented logic based on the resolution principle, JACM 12(1) (1965), 23-41.
    • (1965) JACM , vol.12 , Issue.1 , pp. 23-41
    • Robinson, J.A.1
  • 34
    • 85029822159 scopus 로고
    • Universal unification
    • R. E. Shostak (ed.), 7th International Conference on Automated Deduction, Springer-Verlag, Berlin
    • Siekmann, J. H.: Universal unification, in R. E. Shostak (ed.), 7th International Conference on Automated Deduction, Lecture Notes in Computer Science 170, Springer-Verlag, Berlin, 1984, pp. 1-42.
    • (1984) Lecture Notes in Computer Science , vol.170 , pp. 1-42
    • Siekmann, J.H.1
  • 35
    • 0024029501 scopus 로고
    • Efficient unification of quantified terms
    • Staples, J. and Robinson, P. J.: Efficient unification of quantified terms, J. Log. Prog. 5(2) (1988), 133-149.
    • (1988) J. Log. Prog. , vol.5 , Issue.2 , pp. 133-149
    • Staples, J.1    Robinson, P.J.2
  • 36
    • 2342583481 scopus 로고
    • An extension of unification to substitution with an application to automatic theorem proving
    • Van Vaalen, J.: An extension of unification to substitution with an application to automatic theorem proving, in 4th International Joint Conference on Artificial Intelligence, 1975, pp. 77-82.
    • (1975) 4th International Joint Conference on Artificial Intelligence , pp. 77-82
    • Van Vaalen, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.