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Volumn 4, Issue 3, 2006, Pages 305-330

A general tableau method for propositional interval temporal logics: Theory and implementation

Author keywords

Interval temporal logics; Proof systems; Tableau methods

Indexed keywords

COMPUTER SCIENCE; CONSTRAINT THEORY; NUMERICAL METHODS;

EID: 33746835313     PISSN: 15708683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jal.2005.06.012     Document Type: Article
Times cited : (26)

References (36)
  • 1
    • 7044286549 scopus 로고    scopus 로고
    • System description: The tableaux workbench
    • Proc. of the International Conference TABLEAUX 2003, Springer, Berlin
    • Abate P., and Goré R. System description: The tableaux workbench. Proc. of the International Conference TABLEAUX 2003. Lecture Notes in Artif. Intell. vol. 2796 (2003), Springer, Berlin 230-236
    • (2003) Lecture Notes in Artif. Intell. , vol.2796 , pp. 230-236
    • Abate, P.1    Goré, R.2
  • 2
    • 0020849266 scopus 로고
    • Maintaining knowledge about temporal intervals
    • Allen J. Maintaining knowledge about temporal intervals. Comm. ACM 26 11 (1983) 832-843
    • (1983) Comm. ACM , vol.26 , Issue.11 , pp. 832-843
    • Allen, J.1
  • 3
    • 18944398578 scopus 로고    scopus 로고
    • Free-variable tableaux for propositional modal logics
    • Beckert B., and Goré R. Free-variable tableaux for propositional modal logics. Studia Logica 69 1 (2001) 59-96
    • (2001) Studia Logica , vol.69 , Issue.1 , pp. 59-96
    • Beckert, B.1    Goré, R.2
  • 4
    • 0037390740 scopus 로고    scopus 로고
    • A decision procedure and complete axiomatization of finite interval temporal logic with projection
    • Bowman H., and Thompson S. A decision procedure and complete axiomatization of finite interval temporal logic with projection. J. Logic Comput. 13 2 (2003) 195-239
    • (2003) J. Logic Comput. , vol.13 , Issue.2 , pp. 195-239
    • Bowman, H.1    Thompson, S.2
  • 5
    • 84886285869 scopus 로고    scopus 로고
    • Bounded model search in linear temporal logic and its application to planning
    • Proc. of the International Conference TABLEAUX 1998, Springer, Berlin
    • Cerrito S., and Cialdea-Mayer M. Bounded model search in linear temporal logic and its application to planning. Proc. of the International Conference TABLEAUX 1998. Lecture Notes in Artif. Intell. vol. 1397 (1998), Springer, Berlin 124-140
    • (1998) Lecture Notes in Artif. Intell. , vol.1397 , pp. 124-140
    • Cerrito, S.1    Cialdea-Mayer, M.2
  • 6
    • 84886295158 scopus 로고    scopus 로고
    • First-order linear temporal logic over finite time structures
    • Proc. of the 6th International Conference on Logic for Programming, Artificial Intelligence and Reasoning. Ganzinger H., McAllester D., and Voronkov A. (Eds), Springer, Berlin
    • Cerrito S., Cialdea-Mayer M., and Praud S. First-order linear temporal logic over finite time structures. In: Ganzinger H., McAllester D., and Voronkov A. (Eds). Proc. of the 6th International Conference on Logic for Programming, Artificial Intelligence and Reasoning. Lecture Notes in Artif. Intell. vol. 1705 (1999), Springer, Berlin 62-76
    • (1999) Lecture Notes in Artif. Intell. , vol.1705 , pp. 62-76
    • Cerrito, S.1    Cialdea-Mayer, M.2    Praud, S.3
  • 7
  • 8
    • 0003476795 scopus 로고    scopus 로고
    • D'Agostino M., Gabbay D., Hähnle R., and Posegga J. (Eds), Kluwer Academic Press
    • In: D'Agostino M., Gabbay D., Hähnle R., and Posegga J. (Eds). Handbook of Tableau Methods (1999), Kluwer Academic Press
    • (1999) Handbook of Tableau Methods
  • 9
    • 0022012464 scopus 로고
    • Decision procedures and expressiveness in the temporal logic of branching time
    • Emerson E., and Halpern J. Decision procedures and expressiveness in the temporal logic of branching time. J. Comput. System Sci. 30 1 (1985) 1-24
    • (1985) J. Comput. System Sci. , vol.30 , Issue.1 , pp. 1-24
    • Emerson, E.1    Halpern, J.2
  • 11
  • 12
    • 7044248027 scopus 로고    scopus 로고
    • A general tableau method for propositional interval temporal logics
    • Proc. of the International Conference TABLEAUX 2003, Springer, Berlin
    • Goranko V., Montanari A., and Sciavicco G. A general tableau method for propositional interval temporal logics. Proc. of the International Conference TABLEAUX 2003. Lecture Notes in Artif. Intell. vol. 2796 (2003), Springer, Berlin 102-116
    • (2003) Lecture Notes in Artif. Intell. , vol.2796 , pp. 102-116
    • Goranko, V.1    Montanari, A.2    Sciavicco, G.3
  • 13
    • 21444445324 scopus 로고    scopus 로고
    • A road map of interval temporal logics and duration calculi
    • Goranko V., Montanari A., and Sciavicco G. A road map of interval temporal logics and duration calculi. J. Appl. Non-Class. Logics 14 1-2 (2004) 9-54
    • (2004) J. Appl. Non-Class. Logics , vol.14 , Issue.1-2 , pp. 9-54
    • Goranko, V.1    Montanari, A.2    Sciavicco, G.3
  • 14
    • 84994648433 scopus 로고    scopus 로고
    • Back and forth between guarded and modal logics
    • Grädel E., Hirsch C., and Otto M. Back and forth between guarded and modal logics. ACM Trans. Comput. Logics 3 3 (2002) 418-463
    • (2002) ACM Trans. Comput. Logics , vol.3 , Issue.3 , pp. 418-463
    • Grädel, E.1    Hirsch, C.2    Otto, M.3
  • 15
    • 84886031801 scopus 로고    scopus 로고
    • MSPASS: Modal reasoning by translation and first-order resolution
    • Proc. of the International Conference TABLEAUX 2000, Springer, Berlin
    • Hustadt U., and Schmidt R.A. MSPASS: Modal reasoning by translation and first-order resolution. Proc. of the International Conference TABLEAUX 2000. Lecture Notes in Artif. Intell. vol. 1847 (2000), Springer, Berlin 67-71
    • (2000) Lecture Notes in Artif. Intell. , vol.1847 , pp. 67-71
    • Hustadt, U.1    Schmidt, R.A.2
  • 16
    • 84958798897 scopus 로고
    • Improving temporal logic tableaux using integer constraints
    • Proc. of the 1st International Conference on Temporal Logic, Springer, Berlin
    • Hähnle R., and Ibens O. Improving temporal logic tableaux using integer constraints. Proc. of the 1st International Conference on Temporal Logic. Lecture Notes in Comput. Sci. vol. 827 (1994), Springer, Berlin 535-539
    • (1994) Lecture Notes in Comput. Sci. , vol.827 , pp. 535-539
    • Hähnle, R.1    Ibens, O.2
  • 17
    • 0001084433 scopus 로고
    • A propositional modal logic of time intervals
    • Halpern J., and Shoham Y. A propositional modal logic of time intervals. J. ACM 38 4 (1991) 935-962
    • (1991) J. ACM , vol.38 , Issue.4 , pp. 935-962
    • Halpern, J.1    Shoham, Y.2
  • 18
    • 84957836728 scopus 로고    scopus 로고
    • Y. Kesten, Z. Manna, H. McGuire, A. Pnueli, A decision algorithm for full propositional temporal logic, in: Proc. of the 5th International Conference on Computer Aided Verification, 1993, pp. 97-109
  • 19
    • 84947909000 scopus 로고
    • A combination of clausal and non-clausal temporal logic programs
    • Executable Modal and Temporal Logics. Fisher M., and Owens R. (Eds), Springer, Berlin
    • Kono S. A combination of clausal and non-clausal temporal logic programs. In: Fisher M., and Owens R. (Eds). Executable Modal and Temporal Logics. Lecture Notes in Comput. Sci. vol. 897 (1995), Springer, Berlin 40-57
    • (1995) Lecture Notes in Comput. Sci. , vol.897 , pp. 40-57
    • Kono, S.1
  • 22
    • 33746816260 scopus 로고    scopus 로고
    • B. Moszkowski, Reasoning about digital circuits, PhD thesis, Department of Computer Science, Stanford University, Technical Report STAN-CS-83-970, Stanford, CA, 1983
  • 23
    • 33646191244 scopus 로고    scopus 로고
    • Analytic tableau systems for propositional bimodal logics of knowledge and belief
    • Proc. of the International Conference TABLEAUX 2002, Springer, Berlin
    • Nguyen L. Analytic tableau systems for propositional bimodal logics of knowledge and belief. Proc. of the International Conference TABLEAUX 2002. Lecture Notes in Artif. Intell. vol. 2381 (2002), Springer, Berlin 206-220
    • (2002) Lecture Notes in Artif. Intell. , vol.2381 , pp. 206-220
    • Nguyen, L.1
  • 24
    • 0013087577 scopus 로고    scopus 로고
    • A generic tableau prover and its integration with Isabelle
    • Paulson L. A generic tableau prover and its integration with Isabelle. J. Universal Comput. Sci. 5 3 (1999) 73-87
    • (1999) J. Universal Comput. Sci. , vol.5 , Issue.3 , pp. 73-87
    • Paulson, L.1
  • 25
    • 33746857391 scopus 로고    scopus 로고
    • A. Pnueli, R. Sherman, Semantic tableau for temporal logic, Technical Report CS81-82, The Weizmann Institute, 1981
  • 26
    • 0004096622 scopus 로고    scopus 로고
    • Propositional temporal logic: Decidability and completeness
    • Lichtenstein O., and Pnueli A. Propositional temporal logic: Decidability and completeness. Logic J. IGPL 8 1 (2000) 55-85
    • (2000) Logic J. IGPL , vol.8 , Issue.1 , pp. 55-85
    • Lichtenstein, O.1    Pnueli, A.2
  • 27
    • 0000335878 scopus 로고
    • Modal tableau calculi and interpolation
    • Rautenberg W. Modal tableau calculi and interpolation. J. Philos. Logics 12 (1983) 403-423
    • (1983) J. Philos. Logics , vol.12 , pp. 403-423
    • Rautenberg, W.1
  • 28
    • 33746809593 scopus 로고    scopus 로고
    • P. Sala, Tableau systems for interval temporal logics, Tesi di Laurea in Informatica, Università di Udine, 2003 (in Italian)
  • 29
    • 84958776407 scopus 로고    scopus 로고
    • A tableau system for linear-time temporal logic
    • Proc. of the 3rd Workshop on Tools and Algorithms for the Construction and Analysis of Systems. Brinksma E. (Ed), Springer, Berlin
    • Schmitt P., and Goubault-Larrecq J. A tableau system for linear-time temporal logic. In: Brinksma E. (Ed). Proc. of the 3rd Workshop on Tools and Algorithms for the Construction and Analysis of Systems. Lecture Notes in Comput. Sci. vol. 1217 (1997), Springer, Berlin 130-144
    • (1997) Lecture Notes in Comput. Sci. , vol.1217 , pp. 130-144
    • Schmitt, P.1    Goubault-Larrecq, J.2
  • 30
    • 33746796438 scopus 로고    scopus 로고
    • A tableau system for full linear temporal logic, Draft, available at Technical Report, 1997
    • Schmitt P., and Goubault-Larrecq J. A tableau system for full linear temporal logic, Draft, available at. http://www.dyade.fr/fr/actions/vip/jgl/ltl2.ps.gz Technical Report, 1997
    • Schmitt, P.1    Goubault-Larrecq, J.2
  • 31
    • 0022092438 scopus 로고
    • The complexity of propositional linear time temporal logics
    • Sistla A., and Clarke E. The complexity of propositional linear time temporal logics. J. ACM 32 3 (1985) 733-749
    • (1985) J. ACM , vol.32 , Issue.3 , pp. 733-749
    • Sistla, A.1    Clarke, E.2
  • 32
    • 40849144685 scopus 로고
    • A modal logic for chopping intervals
    • Venema Y. A modal logic for chopping intervals. J. Logic Comput. 1 4 (1991) 453-476
    • (1991) J. Logic Comput. , vol.1 , Issue.4 , pp. 453-476
    • Venema, Y.1
  • 33
    • 0000427127 scopus 로고
    • The tableau method for temporal logic: An overview
    • Wolper P. The tableau method for temporal logic: An overview. Logique et Analyse 28 (1985) 119-136
    • (1985) Logique et Analyse , vol.28 , pp. 119-136
    • Wolper, P.1
  • 34
    • 0000640250 scopus 로고    scopus 로고
    • A tableau-based proof method for temporal logics of knowledge and belief
    • Wooldridge M., Dixon C., and Fisher M. A tableau-based proof method for temporal logics of knowledge and belief. J. Appl. Non-Class. Logics 8 3 (1998) 225-258
    • (1998) J. Appl. Non-Class. Logics , vol.8 , Issue.3 , pp. 225-258
    • Wooldridge, M.1    Dixon, C.2    Fisher, M.3
  • 36
    • 2642580012 scopus 로고    scopus 로고
    • An adequate first order interval logic
    • Compositionality: The Significant Difference. de Roever W., Langmaak H., and Pnueli A. (Eds), Springer, Berlin
    • Zhou C., and Hansen M.R. An adequate first order interval logic. In: de Roever W., Langmaak H., and Pnueli A. (Eds). Compositionality: The Significant Difference. Lecture Notes in Comput. Sci. vol. 1536 (2003), Springer, Berlin 584-608
    • (2003) Lecture Notes in Comput. Sci. , vol.1536 , pp. 584-608
    • Zhou, C.1    Hansen, M.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.