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Volumn 300, Issue 1-3, 2003, Pages 235-258

A polynomial space construction of tree-like models for logics with local chains of modal connectives

Author keywords

Computational complexity; Ladner like algorithm; Local agreement; Modal logic

Indexed keywords

MODAL ANALYSIS; POLYNOMIALS; PROBLEM SOLVING; SEMANTICS; TREES (MATHEMATICS);

EID: 0038076445     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(02)00082-8     Document Type: Article
Times cited : (2)

References (45)
  • 1
    • 0038725997 scopus 로고
    • A logic for data description
    • A. Meyer, & M. Taitslin (Eds.), Symp. Logic Foundations of Computer Science, Pereslavl-Zalessky. Berlin: Springer
    • Archangelsky D., Taitslin M. A logic for data description. Meyer A., Taitslin M. Symp. Logic Foundations of Computer Science, Pereslavl-Zalessky. Lecture Notes in Computer Science. Vol. 363:1989;2-11 Springer, Berlin.
    • (1989) Lecture Notes in Computer Science , vol.363 , pp. 2-11
    • Archangelsky, D.1    Taitslin, M.2
  • 2
    • 34548272754 scopus 로고    scopus 로고
    • An overview of tableau algorithms for description logics
    • Baader F., Sattler U. An overview of tableau algorithms for description logics. Studia Logica. 69:2001;5-40.
    • (2001) Studia Logica , vol.69 , pp. 5-40
    • Baader, F.1    Sattler, U.2
  • 3
    • 84947913636 scopus 로고    scopus 로고
    • A modal logic for data analysis
    • W. Penczek, & A. Szalas (Eds.), 21st Symp. Math. Foundations of Computer Sciences, Krakow, Poland Berlin: Springer
    • Balbiani Ph. A modal logic for data analysis. Penczek W., Szalas A. 21st Symp. Math. Foundations of Computer Sciences, Krakow, Poland. Lecture Notes in Computer Science. Vol. 1113:1996;167-179 Springer, Berlin.
    • (1996) Lecture Notes in Computer Science , vol.1113 , pp. 167-179
    • Balbiani, Ph.1
  • 5
    • 0003612364 scopus 로고    scopus 로고
    • A hierarchy of modal logics with relative accessibility relations
    • (special issue in the memory of George Gargov)
    • Balbiani Ph., Orlowska E. A hierarchy of modal logics with relative accessibility relations. J. Appl. Non-Classical Logics. 9(2-3):1999;303-328. (special issue in the memory of George Gargov).
    • (1999) J. Appl. Non-Classical Logics , vol.9 , Issue.2-3 , pp. 303-328
    • Balbiani, Ph.1    Orlowska, E.2
  • 7
    • 0028447039 scopus 로고
    • The computational complexity of the satisfiability of modal Horn clauses for modal propositional logics
    • Chen C.-C., Lin I-P. The computational complexity of the satisfiability of modal Horn clauses for modal propositional logics. Theoret. Comput. Sci. 129:1994;95-121.
    • (1994) Theoret. Comput. Sci. , vol.129 , pp. 95-121
    • Chen, C.-C.1    Lin, I.-P.2
  • 8
    • 0038049444 scopus 로고    scopus 로고
    • The validity problem for the logic DALLA is decidable
    • Demri S. The validity problem for the logic DALLA is decidable. Bull. Polish Acad. Sci. Math. Section. 44(1):1996;79-86.
    • (1996) Bull. Polish Acad. Sci. Math. Section , vol.44 , Issue.1 , pp. 79-86
    • Demri, S.1
  • 9
    • 0012100017 scopus 로고    scopus 로고
    • A class of decidable information logics
    • Demri S. A class of decidable information logics. Theoret. Comput. Sci. 195(1):1998;33-60.
    • (1998) Theoret. Comput. Sci. , vol.195 , Issue.1 , pp. 33-60
    • Demri, S.1
  • 10
    • 0034229085 scopus 로고    scopus 로고
    • The nondeterministic information logic NIL is PSPACE-complete
    • Demri S. The nondeterministic information logic NIL is PSPACE-complete. Fund. Inform. 42:2000;211-234.
    • (2000) Fund. Inform. , vol.42 , pp. 211-234
    • Demri, S.1
  • 11
    • 0007901831 scopus 로고    scopus 로고
    • Modal logics with weak forms of recursion: PSPACE specimens
    • M. de Rijke, H. Wansing, F. Wolter, M. Zakharyaschev (Eds.), Advances in Modal Logics, Leipzig, Germany, CSLI, Preliminary version available via on WWW, to appear
    • S. Demri, Modal logics with weak forms of recursion: PSPACE specimens, in: M. de Rijke, H. Wansing, F. Wolter, M. Zakharyaschev (Eds.), Advances in Modal Logics, selected papers from Third Workshop on Advances in Modal Logics (AIML'2000), Leipzig, Germany, 2000. CSLI, 2001. Preliminary version available via http://www.lsv.ens-cachan.fr/̃demri/ on WWW, to appear.
    • (2000) Third Workshop on Advances in Modal Logics (AIML'2000)
    • Demri, S.1
  • 12
    • 0002324718 scopus 로고    scopus 로고
    • Logical analysis of indiscernibility
    • E. Orłowska. Heidelberg: Physica Verlag
    • Demri S., Orłowska E. Logical analysis of indiscernibility. Orłowska E. Incomplete Information: Rough Set Analysis. 1998;347-380 Physica Verlag, Heidelberg.
    • (1998) Incomplete Information: Rough Set Analysis , pp. 347-380
    • Demri, S.1    Orłowska, E.2
  • 13
    • 0038726038 scopus 로고    scopus 로고
    • Incomplete Information: Structure, Inference, Complexity
    • Springer, Berlin
    • S. Demri, E. Orlowska, Incomplete Information: Structure, Inference, Complexity, EATCS Monograph Series, Springer, Berlin, to appear.
    • EATCS Monograph Series
    • Demri, S.1    Orlowska, E.2
  • 14
    • 0037052274 scopus 로고    scopus 로고
    • The complexity of propositional linear temporal logics in simple cases
    • Preliminary version available via on WWW, to appear.
    • S. Demri, Ph. Schnoebelen, The complexity of propositional linear temporal logics in simple cases. Information and Computation, 2002. Preliminary version available via http://www.lsv.ens-cachan.fr/̃demri/ on WWW, to appear.
    • (2002) Information and Computation
    • Demri, S.1    Schnoebelen, Ph.2
  • 16
    • 0034915972 scopus 로고    scopus 로고
    • On model-checking for μ-calculus and its fragments
    • (Journal version of the CAV'93 paper)
    • Emerson A., Jutla C., Sistla A. On model-checking for. μ -calculus and its fragments Theoret. Comput. Sci. 258(1-2):2001;491-522. (Journal version of the CAV'93 paper).
    • (2001) Theoret. Comput. Sci. , vol.258 , Issue.1-2 , pp. 491-522
    • Emerson, A.1    Jutla, C.2    Sistla, A.3
  • 17
    • 0022047840 scopus 로고
    • DAL - A logic for data analysis
    • Fariñas del Cerro L., Orłowska E. DAL - A logic for data analysis. Theoret. Comput. Sci. 36:1985;251-264 L. Fariñas del Cerro, E. Orłowska, DAL - A logic for data analysis, Theoret. Comput. Sci. 47, 1986, 345. Short version available in: T. O'Shea (Ed.), Sixth European Conf. Artificial Intelligence, 1984, pp. 285-294.
    • (1985) Theoret. Comput. Sci. , vol.36 , pp. 251-264
    • Fariñas del Cerro, L.1    Orłowska, E.2
  • 18
    • 0022047840 scopus 로고
    • DAL - A logic for data analysis
    • Fariñas del Cerro L., Orłowska E. DAL - A logic for data analysis. Theoret. Comput. Sci. 36:1985;251-264 L. Fariñas del Cerro, E. Orłowska, DAL - A logic for data analysis, Theoret. Comput. Sci. 47, 1986, 345. Short version available in: T. O'Shea (Ed.), Sixth European Conf. Artificial Intelligence, 1984, pp. 285-294.
    • (1986) Theoret. Comput. Sci. , vol.47 , pp. 345
    • Fariñas del Cerro, L.1    Orłowska, E.2
  • 19
    • 0022047840 scopus 로고
    • Fariñas del Cerro L., Orłowska E. DAL - A logic for data analysis. Theoret. Comput. Sci. 36:1985;251-264 L. Fariñas del Cerro, E. Orłowska, DAL - A logic for data analysis, Theoret. Comput. Sci. 47, 1986, 345. Short version available in: T. O'Shea (Ed.), Sixth European Conf. Artificial Intelligence, 1984, pp. 285-294.
    • (1984) Sixth European Conf. Artificial Intelligence , pp. 285-294
    • O'Shea, T.1
  • 20
    • 0018454915 scopus 로고
    • Propositional dynamic logic of regular programs
    • Fischer M., Ladner R. Propositional dynamic logic of regular programs. J. Comput. System Sci. 18:1979;194-211.
    • (1979) J. Comput. System Sci. , vol.18 , pp. 194-211
    • Fischer, M.1    Ladner, R.2
  • 21
    • 0012177856 scopus 로고
    • Technical Report 581, Institute of Computer Science, Polish Academy of Sciences, Warsaw
    • G. Gargov, Two completeness theorems in the logic for data analysis, Technical Report 581, Institute of Computer Science, Polish Academy of Sciences, Warsaw, 1986.
    • (1986) Two Completeness Theorems in the Logic for Data Analysis
    • Gargov, G.1
  • 22
    • 0002113119 scopus 로고
    • Using the universal modality: Gains and questions
    • Goranko V., Passy S. Using the universal modality: gains and questions. J. Logic Comput. 2(1):1992;5-30.
    • (1992) J. Logic Comput. , vol.2 , Issue.1 , pp. 5-30
    • Goranko, V.1    Passy, S.2
  • 23
    • 0002367531 scopus 로고    scopus 로고
    • Why are modal logics so robustly decidable?
    • Grädel E. Why are modal logics so robustly decidable? Bull. EATCS. 68:1999;90-103.
    • (1999) Bull. EATCS , vol.68 , pp. 90-103
    • Grädel, E.1
  • 24
    • 0029325570 scopus 로고
    • The effect of bounding the number of primitive propositions and the depth of nesting on the complexity of modal logic
    • Halpern J. The effect of bounding the number of primitive propositions and the depth of nesting on the complexity of modal logic. Artificial Intelligence. 75(2):1995;361-372.
    • (1995) Artificial Intelligence , vol.75 , Issue.2 , pp. 361-372
    • Halpern, J.1
  • 25
    • 0026853865 scopus 로고
    • A guide to completeness and complexity for modal logics of knowledge and belief
    • Halpern J., Moses Y. A guide to completeness and complexity for modal logics of knowledge and belief. Artificial Intelligence. 54:1992;319-379.
    • (1992) Artificial Intelligence , vol.54 , pp. 319-379
    • Halpern, J.1    Moses, Y.2
  • 28
    • 0007992656 scopus 로고    scopus 로고
    • A complete epistemic logic for multiple agents - Combining distributed and common knowledge
    • P. Mongin, M. Bacharach, L. Gerard-Valet, & H. Shin. Dordrecht: Kluwer
    • van der Hoek W., Meyer J.-J. A complete epistemic logic for multiple agents - combining distributed and common knowledge. Mongin P., Bacharach M., Gerard-Valet L., Shin H. Epistemic Logic and the Theory of Games and Decisions. 1997;35-68 Kluwer, Dordrecht.
    • (1997) Epistemic Logic and the Theory of Games and Decisions , pp. 35-68
    • Van Der Hoek, W.1    Meyer, J.-J.2
  • 30
    • 0002450543 scopus 로고    scopus 로고
    • Power and weakness of the modal display calculus
    • H. Wansing. Dordrecht: Kluwer Academic Publishers
    • Kracht M. Power and weakness of the modal display calculus. Wansing H. Proof Theory of Modal Logic. 1996;93-121 Kluwer Academic Publishers, Dordrecht.
    • (1996) Proof Theory of Modal Logic , pp. 93-121
    • Kracht, M.1
  • 31
    • 0000595575 scopus 로고
    • The computational complexity of provability in systems of modal propositional logic
    • Ladner R. The computational complexity of provability in systems of modal propositional logic. SIAM J. Comput. 6(3):1977;467-480.
    • (1977) SIAM J. Comput. , vol.6 , Issue.3 , pp. 467-480
    • Ladner, R.1
  • 32
    • 0034174114 scopus 로고    scopus 로고
    • Single steps tableaux for modal logics
    • Massacci F. Single steps tableaux for modal logics. J. Automat. Reason. 24(3):2000;319-364.
    • (2000) J. Automat. Reason. , vol.24 , Issue.3 , pp. 319-364
    • Massacci, F.1
  • 33
    • 33746222270 scopus 로고
    • Gentzen-type and resolution rules part I: Propositional logic
    • P. Martin-Löf, & G. Mints (Eds.) Internat. Conf. Computer Logic, Tallinn Berlin: Springer
    • Mints G. Gentzen-type and resolution rules part I: propositional logic. Martin-Löf P., Mints G. Internat. Conf. Computer Logic, Tallinn. Lecture Notes in Computer Science. Vol. 417:1988;198-231 Springer, Berlin.
    • (1988) Lecture Notes in Computer Science , vol.417 , pp. 198-231
    • Mints, G.1
  • 34
    • 0027599261 scopus 로고
    • On a logic based on graded modalities
    • Nakamura A. On a logic based on graded modalities. IEICE Trans. E76-D(5):1993;527-532.
    • (1993) IEICE Trans. , vol.E76-D , Issue.5 , pp. 527-532
    • Nakamura, A.1
  • 37
    • 77956968248 scopus 로고
    • Completeness and correspondence in the first and second order semantics for modal logics
    • S. Kanger (Eds.) Uppsala, Sweden, 1973, Amsterdam: North-Holland
    • Sahlqvist H. Completeness and correspondence in the first and second order semantics for modal logics. Kanger S. Third Scandinavian Logic Symp. Uppsala, Sweden, 1973. 1975;110-143 North-Holland, Amsterdam.
    • (1975) Third Scandinavian Logic Symp. , pp. 110-143
    • Sahlqvist, H.1
  • 38
    • 0026107613 scopus 로고
    • Attribute concept descriptions with complements
    • Schmidt-Schauss M., Smolka G. Attribute concept descriptions with complements. Artificial Intelligence. 48(1):1991;1-26.
    • (1991) Artificial Intelligence , vol.48 , Issue.1 , pp. 1-26
    • Schmidt-Schauss, M.1    Smolka, G.2
  • 39
    • 0003759706 scopus 로고
    • Ph.D. Thesis, ILLC, Amsterdam University, March
    • E. Spaan, Complexity of modal logics, Ph.D. Thesis, ILLC, Amsterdam University, March 1993.
    • (1993) Complexity of Modal Logics
    • Spaan, E.1
  • 40
    • 0005691488 scopus 로고
    • The complexity of propositional tense logics
    • M. de Rijke. Dordrecht: Kluwer Academic Publishers
    • Spaan E. The complexity of propositional tense logics. de Rijke M. Diamonds and Defaults. Series Studies in Pure and Applied Intensional Logic. Vol. 229:1993;287-309 Kluwer Academic Publishers, Dordrecht.
    • (1993) Diamonds and Defaults, Series Studies in Pure and Applied Intensional Logic , vol.229 , pp. 287-309
    • Spaan, E.1
  • 41
    • 44649167785 scopus 로고
    • The polynomial-time hierarchy
    • Stockmeyer L. The polynomial-time hierarchy. Theoret. Comput. Sci. 3:1977;1-21.
    • (1977) Theoret. Comput. Sci. , vol.3 , pp. 1-21
    • Stockmeyer, L.1
  • 42
    • 84878592842 scopus 로고    scopus 로고
    • Reasoning about past with two-way automata
    • ICALP'98, Springer, Berlin
    • M. Vardi, Reasoning about past with two-way automata, ICALP'98, Lecture Notes in Computer Science, Vol. 1443, Springer, Berlin, 1998, pp. 628-641.
    • (1998) Lecture Notes in Computer Science , vol.1443 , pp. 628-641
    • Vardi, M.1
  • 43
    • 0022704337 scopus 로고
    • Automata-theoretic techniques for modal logics of programs
    • Vardi M., Wolper P. Automata-theoretic techniques for modal logics of programs. J. Comput. System Sci. 32:1986;183-221.
    • (1986) J. Comput. System Sci. , vol.32 , pp. 183-221
    • Vardi, M.1    Wolper, P.2
  • 44
    • 0001909357 scopus 로고
    • Reasoning about infinite computations
    • (Journal version of the FOCS'83 paper)
    • Vardi M., Wolper P. Reasoning about infinite computations. Inform. Comput. 115:1994;1-37. (Journal version of the FOCS'83 paper).
    • (1994) Inform. Comput. , vol.115 , pp. 1-37
    • Vardi, M.1    Wolper, P.2


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