메뉴 건너뛰기




Volumn 69, Issue 1, 2001, Pages 59-96

Free-variable tableaux for propositional modal logics

Author keywords

Automated deduction; Free variable tableaux; Modal logics; Modal theorem proving

Indexed keywords


EID: 18944398578     PISSN: 00393215     EISSN: 15728730     Source Type: Journal    
DOI: 10.1023/A:1013886427723     Document Type: Article
Times cited : (12)

References (29)
  • 1
    • 84886286667 scopus 로고    scopus 로고
    • Comparison of theorem provers for modal logics: Introduction and summary
    • Proceedings, International Conference on Theorem Proving with Analytic Tableaux and Related Methods, Oisterwijk, The Netherlands, Springer
    • BALSINGER, P., and A. HEUERDING, 'Comparison of theorem provers for modal logics: Introduction and summary', in Proceedings, International Conference on Theorem Proving with Analytic Tableaux and Related Methods, Oisterwijk, The Netherlands, LNCS 1397, Springer, 1998.
    • (1998) LNCS , vol.1397
    • Balsinger, P.1    Heuerding, A.2
  • 2
    • 84958748572 scopus 로고    scopus 로고
    • Free variable tableaux for propositional modal logics
    • Proceedings, International Conference on Theorem Proving with Analytic Tableaux and Related Methods, Pont-à-Mousson, France, Springer
    • BECKERT, B., and R. GORE, 'Free variable tableaux for propositional modal logics', in Proceedings, International Conference on Theorem Proving with Analytic Tableaux and Related Methods, Pont-à-Mousson, France, LNCS 1227, pages 91-106, Springer, 1997.
    • (1997) LNCS , vol.1227 , pp. 91-106
    • Beckert, B.1    Gore, R.2
  • 3
    • 52549085262 scopus 로고    scopus 로고
    • LeanK 2.0: Description for the comparison of theorem provers for modal logics
    • Proceedings, International Conference on Theorem Proving with Analytic Tableaux and Related Methods, Oisterwijk, The Netherlands, Springer
    • BECKERT, B., and R. GORE, 'leanK 2.0: Description for the comparison of theorem provers for modal logics', in Proceedings, International Conference on Theorem Proving with Analytic Tableaux and Related Methods, Oisterwijk, The Netherlands, LNCS 1397, pages 33-34, Springer, 1998.
    • (1998) LNCS , vol.1397 , pp. 33-34
    • Beckert, B.1    Gore, R.2
  • 4
    • 52549127942 scopus 로고    scopus 로고
    • System description: LeanK 2.0
    • Proceedings, 15th International Conference on Automated Deduction (CADE), Lindau, Germany, Springer
    • BECKERT, B., and R. GORE, 'System description: leanK 2.0', in Proceedings, 15th International Conference on Automated Deduction (CADE), Lindau, Germany, LNCS 1421, pages 51-55, Springer, 1998.
    • (1998) LNCS , vol.1421 , pp. 51-55
    • Beckert, B.1    Gore, R.2
  • 5
    • 9444264840 scopus 로고    scopus 로고
    • Analytic tableaux
    • W. Bibel and P. H. Schmitt, editors, Foundations, Kluwer, Dordrecht
    • BECKERT, B., and R. HäHNLE, 'Analytic tableaux', in W. Bibel and P. H. Schmitt, editors, Automated Deduction - A Basis for Applications, volume I: Foundations, Kluwer, Dordrecht, 1998.
    • (1998) Automated Deduction - A Basis for Applications , vol.1
    • Beckert, B.1    Hähnle, R.2
  • 6
    • 84957644043 scopus 로고    scopus 로고
    • The tableau-based theorem prover -4Pr, version 4.0
    • Proceedings, 13th International Conference on Automated Deduction (CADE), New Brunswick, NJ, USA, Springer
    • BECKERT, B., R. HäHNLE, P. OEL, and M. SULZMANN, 'The tableau-based theorem prover -4Pr, version 4.0', in Proceedings, 13th International Conference on Automated Deduction (CADE), New Brunswick, NJ, USA, LNCS 1104, pages 303-307, Springer, 1996.
    • (1996) LNCS , vol.1104 , pp. 303-307
    • Beckert, B.1    Hähnle, R.2    Oel, P.3    Sulzmann, M.4
  • 7
    • 2342562768 scopus 로고
    • LeanT-4-4P: Lean tableau-based deduction
    • BECKERT, B., and J. POSEGGA, 'leanT-4-4P: Lean tableau-based deduction', Journal of Automated Reasoning 15(3):339-358, 1995.
    • (1995) Journal of Automated Reasoning , vol.15 , Issue.3 , pp. 339-358
    • Beckert, B.1    Posegga, J.2
  • 8
    • 4243464860 scopus 로고
    • Free logic
    • D. Gabbay and F. Günthner, editors, Kluwer, Dordrecht
    • BENCIVENGA, E., 'Free logic', in D. Gabbay and F. Günthner, editors, Handbook of Philosophical Logic, volume 3, Kluwer, Dordrecht, 1986.
    • (1986) Handbook of Philosophical Logic , vol.3
    • Bencivenga, E.1
  • 10
    • 0009560772 scopus 로고    scopus 로고
    • Grafting modalities onto substructural implication systems
    • D'AGOSTINO, M., D. GABBAY, and A. Russo, 'Grafting modalities onto substructural implication systems', Studia Logica 59:65-102, 1997.
    • (1997) Studia Logica , vol.59 , pp. 65-102
    • D'Agostino, M.1    Gabbay, D.2    Russo, A.3
  • 12
    • 0347637373 scopus 로고
    • Proof Methods for Modal and Intuitionistic Logics
    • D. Reidel, Dordrecht, Holland
    • FITTING, M. C., Proof Methods for Modal and Intuitionistic Logics, volume 169 of Synthese Library, D. Reidel, Dordrecht, Holland, 1983.
    • (1983) Synthese Library , vol.169
    • Fitting, M.C.1
  • 16
    • 0001919918 scopus 로고    scopus 로고
    • Tableau methods for modal and temporal logics
    • M. D'Agostino, D. Gabbay, R. Hähnle, and J. Posegga, editors, Kluwer, Dordrecht
    • GORE, R., 'Tableau methods for modal and temporal logics', in M. D'Agostino, D. Gabbay, R. Hähnle, and J. Posegga, editors, Handbook of Tableau Methods, Kluwer, Dordrecht, 1999.
    • (1999) Handbook of Tableau Methods
    • Gore, R.1
  • 17
    • 52549111269 scopus 로고    scopus 로고
    • A reduplication and loop checking free proof system for S4
    • number 154-96 in RI-DSI, Via Comelico 39, 20135 Milan, Italy, 1996, Department of Computer Science, University of Milan
    • GOVERNATORI, G., 'A reduplication and loop checking free proof system for S4', in Short Papers: TABLEAUX'96, number 154-96 in RI-DSI, Via Comelico 39, 20135 Milan, Italy, 1996, Department of Computer Science, University of Milan.
    • Short Papers: TABLEAUX'96
    • Governatori, G.1
  • 18
    • 84958951660 scopus 로고    scopus 로고
    • Efficient loop-check for backward proof search in some non-classical logics
    • P. Miglioli, U. Moscato, D. Mundici, and M. Ornaghi, editors, Proceedings, 5th Workshop on Theorem Proving with Analytic Tableaux and Related Methods, Terrasini, Palermo, Italy, Springer
    • HEUERDING, A., M. SEYFRIED, and H. ZIMMERMANN, 'Efficient loop-check for backward proof search in some non-classical logics', in P. Miglioli, U. Moscato, D. Mundici, and M. Ornaghi, editors, Proceedings, 5th Workshop on Theorem Proving with Analytic Tableaux and Related Methods, Terrasini, Palermo, Italy, LNCS 1071, pages 210-225, Springer, 1996.
    • (1996) LNCS , vol.1071 , pp. 210-225
    • Heuerding, A.1    Seyfried, M.2    Zimmermann, H.3
  • 20
    • 0039267670 scopus 로고
    • Stockholm Studies in Philosophy, University of Stockholm, Almqvist and Wiksell, Sweden
    • RANGER, S., Provability in Logic, Stockholm Studies in Philosophy, University of Stockholm, Almqvist and Wiksell, Sweden, 1957.
    • (1957) Provability in Logic
    • Ranger, S.1
  • 22
    • 85026906242 scopus 로고
    • Strongly analytic tableaux for normal modal logics
    • A. Bundy, editor, Proceedings, 12th International Conference on Automated Deduction (CADE), Nancy, France, Springer
    • MASSACCI, F., 'Strongly analytic tableaux for normal modal logics', in A. Bundy, editor, Proceedings, 12th International Conference on Automated Deduction (CADE), Nancy, France, LNCS 814, pages 723-737, Springer, 1994.
    • (1994) LNCS , vol.814 , pp. 723-737
    • Massacci, F.1
  • 23
    • 84886233602 scopus 로고    scopus 로고
    • Simplification: A general constraint propagation technique for propositional and modal tableaux
    • Proceedings, International Conference on Theorem Proving with Analytic Tableaux and Related Methods, Oisterwijk, The Netherlands, Springer
    • MASSACI, F., 'Simplification: A general constraint propagation technique for propositional and modal tableaux', in Proceedings, International Conference on Theorem Proving with Analytic Tableaux and Related Methods, Oisterwijk, The Netherlands, LNCS 1397. Springer, 1998.
    • (1998) LNCS , vol.1397
    • Massaci, F.1
  • 25
    • 33750044244 scopus 로고    scopus 로고
    • IleanTAP: An intuitionistic theorem prover
    • Proceedings, International Conference on Theorem Proving with Analytic Tableaux and Related Methods, Pontà-Mousson, France, Springer
    • OTTEN, J., 'ileanTAP: An intuitionistic theorem prover', in Proceedings, International Conference on Theorem Proving with Analytic Tableaux and Related Methods, Pontà-Mousson, France, LNCS 1227, Springer, 1997.
    • (1997) LNCS , vol.1227
    • Otten, J.1
  • 26
    • 84958956268 scopus 로고    scopus 로고
    • Distributed modal theorem proving with KE
    • M. Miglioli, U. Moscato, D. Mundici, and M. Ornaghi, editors, Proceedings, International Conference on Theorem Proving with Analytic Tableaux and Related Methods, Terrasini, Palermo, Italy, Springer
    • PlTT, J., and J. CuNNINGHAM, 'Distributed modal theorem proving with KE', in M. Miglioli, U. Moscato, D. Mundici, and M. Ornaghi, editors, Proceedings, International Conference on Theorem Proving with Analytic Tableaux and Related Methods, Terrasini, Palermo, Italy, LNCS 1071, pages 160-176, Springer, 1996.
    • (1996) LNCS , vol.1071 , pp. 160-176
    • Pltt, J.1    Cunningham, J.2
  • 27
    • 9944262091 scopus 로고
    • Semantic tableaux as a framework for automated theorem-proving
    • C. Mellish and J. Hallam, editors, Wiley
    • REEVES, S.V., 'Semantic tableaux as a framework for automated theorem-proving', in C. Mellish and J. Hallam, editors, Advances in Artificial Intelligence (Proceedings of AISB-87), pages 125-139, Wiley, 1987.
    • (1987) Advances in Artificial Intelligence (Proceedings of AISB-87) , pp. 125-139
    • Reeves, S.V.1
  • 28
    • 8744292191 scopus 로고    scopus 로고
    • Generalising propositional modal logic using labelled deductive systems
    • F. Baader and K. Schulz, editors, Proceedings, Frontiers of Combining Systems (FroCoS), Munich, Germany, Kluwer, Dordrecht
    • Russo, A., 'Generalising propositional modal logic using labelled deductive systems', in F. Baader and K. Schulz, editors, Proceedings, Frontiers of Combining Systems (FroCoS), Munich, Germany, volume 3 of Applied Logic Series, Kluwer, Dordrecht, 1996.
    • (1996) Applied Logic Series , vol.3
    • Russo, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.