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Uniform Satisfiability in PSPACE for Local Temporal Logics Over Mazurkiewicz Traces

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We study the complexity of temporal logics over concurrent systems that can be described by Mazurkiewicz traces. We develop a general method to prove that the uniform satisfiability problem of local temporal logics is in PSPACE. We also demonstrate that this method applies to all known local temporal logics.
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169--197
Opis fizyczny
bibliogr. 20 poz.
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Bibliografia
  • [1] R. Alur, R. Peled, andW. Penczek. Model checking of causality properties. In LICS 95, pages 90-100. IEEE Computer Society Press, 1995.
  • [2] V. Diekert and P. Gastin. LTL is expressively complete for Mazurkiewicz traces. Journal of Computer and System Sciences, 64:396-418, 2002. A preliminary version appeared at ICALP'00, Lecture Notes in Comp. Science vol. 1853, pages 211-222, Springer.
  • [3] V. Diekert and P. Gastin. Local temporal logic is expressively complete for cograph dependence alphabets. Information and Computation, 195:30-52, 2004. A preliminary version appeared at LPAR'01, Lecture Notes in Artificial Intelligence vol. 2250, pages 55-69, Springer.
  • [4] V. Diekert and P. Gastin. Pure future local temporal logics are expressively complete forMazurkiewicz traces. Information and Computation, 204:1597-1619, 2006. A preliminary version appeared at LATIN'04, Lecture Notes in Comp. Science vol. 2976, pages 232-241, Springer.
  • [5] V. Diekert and G. Rozenberg. The Book of Traces. World Scientific Publ. Co., 1995.
  • [6] P. Gastin and D. Kuske. Satisfiability andmodel checking forMSO-definable temporal logics are in PSPACE. In R. Amadio and D. Lugiez, editors, CONCUR'03, Lecture Notes in Comp. Science vol. 2761, pages 222-236. Springer, 2003.
  • [7] P. Gastin and D. Kuske. Uniform satisfiability problem for local temporal logics over Mazurkiewicz traces. In L. de Alfaro, editor, CONCUR'05, Lecture Notes in Comp. Science vol. 3653, pages 533-547. Springer, 2005.
  • [8] P. Gastin and M. Mukund. An elementary expressively complete temporal logic for Mazurkiewicz traces. In ICALP'02, Lecture Notes in Comp. Science vol. 2380, pages 938-949. Springer, 2002.
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  • [11] A. Mazurkiewicz. Concurrent program schemes and their interpretation. Technical report, DAIMI Report PB-78, Aarhus University, 1977.
  • [12] A. Mazurkiewicz. Trace theory. InW. Brauer and others, editor, Petri Nets, Applications and Relationship to other Models of Concurrency, Lecture Notes in Comp. Science vol. 255, pages 279-324. Springer, 1987.
  • [13] S. Miyano and T. Hayashi. Alternating finite automata on !-words. Theoretical Comp. Science, 32:321-330, 1984.
  • [14] W. Penczek. A concurrent branching time temporal logic. In E. Börger, H. Kleine Büning, and M.M. Richter, editors, 3rd Workshop on Computer Science Logic, Lecture Notes in Comp. Science vol. 440, pages 337-354. Springer, 1990.
  • [15] W. Penczek. On undecidability of temporal logics on trace systems. Information Processing Letters, 43:147-153, 1992.
  • [16] D. Perrin and J.-E. Pin. Infinite Words. Pure and Applied Mathematics vol. 141. Elsevier, 2004.
  • [17] S. Safra. On the complexity of omega-automata. In FOCS'88, pages 319-327. IEEE Computer Society Press, 1988.
  • [18] P.S. Thiagarajan. A trace based extension of linear time temporal logic. In LICS'94, pages 438-447. IEEE Computer Society Press, 1994.
  • [19] P.S. Thiagarajan and I. Walukiewicz. An expressively complete linear time temporal logic for Mazurkiewicz traces. Information and Computation, 179:230-249, 2002. A preliminary version appeared at LICS'97, pages 183-194, IEEE Computer Society Press.
  • [20] I. Walukiewicz. Difficult configurations - on the complexity of LTrL. In ICALP'98, Lecture Notes in Comp. Science vol. 1443, pages 140-151. Springer, 1998.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS5-0014-0009
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