메뉴 건너뛰기




Volumn 8, Issue 6, 1998, Pages 713-744

Optimized encodings of fragments of type theory in first-order logic

Author keywords

Alf; Automated theorem proving; First order logic; Gandalf; Martin L f's type theory

Indexed keywords

AUTOMATION; ENCODING (SYMBOLS); FORMAL LOGIC; OPTIMIZATION;

EID: 0032266817     PISSN: 0955792X     EISSN: None     Source Type: Journal    
DOI: 10.1093/logcom/8.6.713     Document Type: Article
Times cited : (5)

References (22)
  • 1
    • 0010071182 scopus 로고
    • The strength of Martin-Löf's type theory with one universe
    • Oulu, 1974, Report No 2, Department of Philosophy, University of Helsinki
    • P. Aczel. The strength of Martin-Löf's type theory with one universe. In Proceedings of the Symposium on Mathematical Logic, Oulu, 1974, pp. 1-32. Report No 2, Department of Philosophy, University of Helsinki, 1977.
    • (1977) Proceedings of the Symposium on Mathematical Logic , pp. 1-32
    • Aczel, P.1
  • 10
    • 0346910131 scopus 로고
    • Encoding a dependent-type λ-calculus in a logic programming language
    • Lecture Notes in Artificial Intelligence 449, Springer Verlag
    • A. Felty and D. Miller. Encoding a dependent-type λ-calculus in a logic programming language. In Proceedings of CADE-10. Lecture Notes in Artificial Intelligence 449, Springer Verlag, 1990.
    • (1990) Proceedings of CADE-10
    • Felty, A.1    Miller, D.2
  • 11
    • 0000218554 scopus 로고
    • The undecidability of the second-order unification problem
    • W. D. Goldfarb. The undecidability of the second-order unification problem. Theoretical Computer Science, 13, 225-230, 1981.
    • (1981) Theoretical Computer Science , vol.13 , pp. 225-230
    • Goldfarb, W.D.1
  • 12
    • 0002336404 scopus 로고
    • A technique for establishing completeness results in theorem proving with equality
    • G. Peterson. A technique for establishing completeness results in theorem proving with equality. SIAM Journal of Computing, 12, 82-100, 1983.
    • (1983) SIAM Journal of Computing , vol.12 , pp. 82-100
    • Peterson, G.1
  • 13
    • 49549145605 scopus 로고
    • A unification algorithm for typed λ-calculus
    • G. Huet. A unification algorithm for typed λ-calculus. Theoretical Computer Science, 1, 27-57, 1975.
    • (1975) Theoretical Computer Science , vol.1 , pp. 27-57
    • Huet, G.1
  • 16
    • 0142055410 scopus 로고
    • A compact representation of proofs
    • D. Miller. A compact representation of proofs. Studia Logica, 46, 1987.
    • (1987) Studia Logica , vol.46
    • Miller, D.1
  • 17
    • 33746222270 scopus 로고
    • Gentzen-type systems and resolution rules. part I. prepositional logic
    • Springer Verlag
    • G. Mints. Gentzen-type systems and resolution rules. part I. prepositional logic. In COLOG-88, volume 417 of Lecture Notes in Computer Science, pp. 198-231. Springer Verlag, 1990.
    • (1990) COLOG-88, Volume 417 of Lecture Notes in Computer Science , vol.417 , pp. 198-231
    • Mints, G.1
  • 18
    • 26844469818 scopus 로고
    • Resolution strategies for the intuitionistic logic
    • NATO ASI Series F, Springer Verlag
    • G. Mints. Resolution strategies for the intuitionistic logic. In Constraint Programming, volume 131 of NATO ASI Series F, pp. 289-311. Springer Verlag, 1994.
    • (1994) Constraint Programming , vol.131 , pp. 289-311
    • Mints, G.1
  • 20
    • 84918983692 scopus 로고
    • A Machine-oriented Logic Based on the Resolution Principle
    • J. A. Robinson. A Machine-oriented Logic Based on the Resolution Principle. Journal of the ACM, 12, 23-41, 1965.
    • (1965) Journal of the ACM , vol.12 , pp. 23-41
    • Robinson, J.A.1
  • 21
    • 0348170591 scopus 로고
    • An interpretation of Martin-Löf's type theory in a type-free theory of propositions
    • J. Smith. An interpretation of Martin-Löf's type theory in a type-free theory of propositions. Journal of Symbolic Logic, 49. 730-753, 1984.
    • (1984) Journal of Symbolic Logic , vol.49 , pp. 730-753
    • Smith, J.1
  • 22


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.