메뉴 건너뛰기




Volumn 45, Issue 6, 1998, Pages 1007-1049

Ordered chaining calculi for first-order theories of transitive relations

Author keywords

[No Author keywords available]

Indexed keywords

REFUTATIONAL THEOREM PROVERS; REWRITE SYSTEMS; TERM REWRITING; VARIABLE CHAINING;

EID: 0032201822     PISSN: 00045411     EISSN: None     Source Type: Journal    
DOI: 10.1145/293347.293352     Document Type: Article
Times cited : (48)

References (24)
  • 3
    • 85027601746 scopus 로고
    • On restrictions of ordered paramodulation with simplification
    • Proceedings of the 10th International Conference on Automated Deduction, Kaiserslautern (Berlin, Germany). Springer-Verlag, New York
    • BACHMAIR, L., AND GANZINGER, H. 1990. On restrictions of ordered paramodulation with simplification. In Proceedings of the 10th International Conference on Automated Deduction, Kaiserslautern (Berlin, Germany). Lecture Notes in Computer Science, vol. 449. Springer-Verlag, New York, pp. 427-441.
    • (1990) Lecture Notes in Computer Science , vol.449 , pp. 427-441
    • Bachmair, L.1    Ganzinger, H.2
  • 4
    • 0005483198 scopus 로고
    • Rewrite-based equational theorem proving with selection and simplification
    • Revised version of Tech. Rep. MPI-I-91-208, 1991
    • BACHMAIR, L., AND GANZINGER, H. 1994. Rewrite-based equational theorem proving with selection and simplification. J. Logic Comput. 4, 3, 217-247. (Revised version of Tech. Rep. MPI-I-91-208, 1991.)
    • (1994) J. Logic Comput. , vol.4 , Issue.3 , pp. 217-247
    • Bachmair, L.1    Ganzinger, H.2
  • 6
    • 0008957343 scopus 로고    scopus 로고
    • A theory of resolution
    • Alan Robinson and Andrei Voronkov, eds. Elsevier Science Publishers
    • BACHMAIR, L., AND GANZINGER, H. 1999. A theory of resolution. Handb. Autom. Reas., Alan Robinson and Andrei Voronkov, eds. Elsevier Science Publishers.
    • (1999) Handb. Autom. Reas.
    • Bachmair, L.1    Ganzinger, H.2
  • 7
    • 84947922975 scopus 로고
    • Combining algebra and universal algebra in first-order theorem proving: The case of commutative rings
    • Recent Trends in Data Type Specification, E. Astesiano, G. Reggio, and A. Tarlecki, eds. Springer-Verlag, New York
    • BACHMAIR, L., GANZINGER, H., AND STUBER, J. 1995. Combining algebra and universal algebra in first-order theorem proving: The case of commutative rings. In Recent Trends in Data Type Specification, E. Astesiano, G. Reggio, and A. Tarlecki, eds. Lecture Notes in Computer Science, Vol. 306. Springer-Verlag, New York, pp. 1-29.
    • (1995) Lecture Notes in Computer Science , vol.306 , pp. 1-29
    • Bachmair, L.1    Ganzinger, H.2    Stuber, J.3
  • 8
    • 0011474162 scopus 로고
    • Completeness results for inequality provers
    • BLEDSOE, W., KUNEN, K., AND SHOSTAK, R. 1985. Completeness results for inequality provers. Artif. Int. 27, 255-288.
    • (1985) Artif. Int. , vol.27 , pp. 255-288
    • Bledsoe, W.1    Kunen, K.2    Shostak, R.3
  • 9
    • 0002457511 scopus 로고
    • Integrating decision procedures into heuristic theorem provers: A case study of linear arithmetic
    • Chap. 5, J. E. Hayes, D. Michie, and J. Richards, eds. Clarendon Press, Oxford, England
    • BOYER, R. S., AND MOORE, J. S. 1988. Integrating decision procedures into heuristic theorem provers: A case study of linear arithmetic. In Mach. Int. vol. 11, Chap. 5, J. E. Hayes, D. Michie, and J. Richards, eds. Clarendon Press, Oxford, England, pp. 83-124.
    • (1988) Mach. Int. , vol.11 , pp. 83-124
    • Boyer, R.S.1    Moore, J.S.2
  • 10
    • 84910829499 scopus 로고
    • Termination of rewriting
    • DERSHOWITZ, N. 1987. Termination of rewriting. J. Symb. Comput. 3, 69-116.
    • (1987) J. Symb. Comput. , vol.3 , pp. 69-116
    • Dershowitz, N.1
  • 11
    • 84968387241 scopus 로고
    • A maximal-literal unit strategy for horn clauses
    • Proceedings of the 2nd International Workshop on Conditional and Typed Rewriting Systems. Springer-Verlag, New York
    • DERSHOWITZ, N. 1991. A maximal-literal unit strategy for horn clauses. In Proceedings of the 2nd International Workshop on Conditional and Typed Rewriting Systems. Lecture Notes in Computer Science, vol. 516. Springer-Verlag, New York, pp. 14-25.
    • (1991) Lecture Notes in Computer Science , vol.516 , pp. 14-25
    • Dershowitz, N.1
  • 12
    • 0011044765 scopus 로고
    • A completion procedure for conditional equations
    • GANZINGER, H. 1991. A completion procedure for conditional equations. J. Symbol. Comput. 11, 51-81.
    • (1991) J. Symbol. Comput. , vol.11 , pp. 51-81
    • Ganzinger, H.1
  • 14
    • 0011456925 scopus 로고
    • Completeness of a prover for dense linear logics
    • HINES, L. M. 1992. Completeness of a prover for dense linear logics. J. Automat. Reas. 8, 45-75.
    • (1992) J. Automat. Reas. , vol.8 , pp. 45-75
    • Hines, L.M.1
  • 15
    • 85026906127 scopus 로고
    • Str+ve and integers
    • Proceedings of the 12th International Conference on Automated Deduction (Nancy, France, June 26-July 1). Springer-Verlag, New York
    • HINES, L. M. 1994. Str+ve and integers. In Proceedings of the 12th International Conference on Automated Deduction (Nancy, France, June 26-July 1). Lecture Notes in Artificial Intelligence, vol. 814. Springer-Verlag, New York, pp. 416-430.
    • (1994) Lecture Notes in Artificial Intelligence , vol.814 , pp. 416-430
    • Hines, L.M.1
  • 16
    • 0011516675 scopus 로고
    • Bi-rewriting, a term rewriting technique for monotonic order relations
    • Rewriting Techniques and Applications, C. Kirchner, ed. Springer-Verlag, New York
    • LEVY, J., AND AGUSTÍ, J. 1993. Bi-rewriting, a term rewriting technique for monotonic order relations. In Rewriting Techniques and Applications, C. Kirchner, ed. Lecture Notes in Computer Science, vol. 690. Springer-Verlag, New York, pp. 17-31.
    • (1993) Lecture Notes in Computer Science , vol.690 , pp. 17-31
    • Levy, J.1    Agustí, J.2
  • 17
    • 0022488103 scopus 로고
    • Special relations in automated deduction
    • Mar.
    • MANNA, Z., AND WALDINGER, R. 1986. Special relations in automated deduction. J. ACM 33, 1 (Mar.), 1-60.
    • (1986) J. ACM , vol.33 , Issue.1 , pp. 1-60
    • Manna, Z.1    Waldinger, R.2
  • 18
    • 0011410152 scopus 로고
    • The special-relation rules are incomplete
    • Proceedings of the 11th International Conference on Automated Deduction (Saratoga Springs, N.Y., June). Springer-Verlag, New York
    • MANNA, Z., AND WALDINGER, R. 1992. The special-relation rules are incomplete. In Proceedings of the 11th International Conference on Automated Deduction (Saratoga Springs, N.Y., June). Lecture Notes in Artificial Intelligence, vol. 607. Springer-Verlag, New York, pp. 492-506.
    • (1992) Lecture Notes in Artificial Intelligence , vol.607 , pp. 492-506
    • Manna, Z.1    Waldinger, R.2
  • 19
    • 84944677742 scopus 로고
    • PVS: A prototype verification system
    • Proceedings of the 11th International Conference on Automated Deduction. Springer-Verlag, New York
    • OWRE, S., RUSHBY, J. M., AND SHANKAR, N. 1992. PVS: A prototype verification system. In Proceedings of the 11th International Conference on Automated Deduction. Lecture Notes in Computer Science, vol. 607. Springer-Verlag, New York, pp. 748-752.
    • (1992) Lecture Notes in Computer Science , vol.607 , pp. 748-752
    • Owre, S.1    Rushby, J.M.2    Shankar, N.3
  • 20
    • 84889190013 scopus 로고
    • Some reordering properties for inequality proof trees
    • Springer-Verlag, New York
    • RICHTER, M. 1984. Some reordering properties for inequality proof trees. In Lecture Notes in Computer Science. Springer-Verlag, New York, pp. 183-197.
    • (1984) Lecture Notes in Computer Science , pp. 183-197
    • Richter, M.1
  • 21
    • 0001661753 scopus 로고
    • Identity and existence in intuitionistic logic
    • Applications of Sheaves, Proceedings Durham. Springer-Verlag, New York
    • SCOTT, D. S. 1979. Identity and existence in intuitionistic logic. In Applications of Sheaves, Proceedings Durham. Lecture Notes in Mathematics, vol. 753. Springer-Verlag, New York, pp. 660-695.
    • (1979) Lecture Notes in Mathematics , vol.753 , pp. 660-695
    • Scott, D.S.1
  • 22
    • 0015282299 scopus 로고
    • Automatic theorem proving with built-in theories including equality, partial orderings, and sets
    • Mar.
    • SLAGLE, J. R. 1972. Automatic theorem proving with built-in theories including equality, partial orderings, and sets. J. ACM 19, 1 (Mar.), 120-135.
    • (1972) J. ACM , vol.19 , Issue.1 , pp. 120-135
    • Slagle, J.R.1
  • 23
    • 84957102804 scopus 로고    scopus 로고
    • Superposition for divisible torsion-free abelian groups
    • Automated Deduction-CADE-15, 15th International Conference on Automated Deduction, C. Kirchner and H. Kirchner, eds. Springer-Verlag, New York
    • WALDMANN, U. 1998. Superposition for divisible torsion-free abelian groups. In Automated Deduction-CADE-15, 15th International Conference on Automated Deduction, C. Kirchner and H. Kirchner, eds. Lecture Notes in Artificial Intelligence. Springer-Verlag, New York, pp. 144-159.
    • (1998) Lecture Notes in Artificial Intelligence , pp. 144-159
    • Waldmann, U.1
  • 24
    • 0031108706 scopus 로고    scopus 로고
    • Spass version 0.49
    • WEIDENBACH, C. 1997. Spass version 0.49. J. Autom. Reas. 18, 2, 247-252.
    • (1997) J. Autom. Reas. , vol.18 , Issue.2 , pp. 247-252
    • Weidenbach, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.