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Deciding properties of integral relational automata

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Automata, Languages and Programming (ICALP 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 820))

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Abstract

This paper investigates automated model checking possibilities for CTL* formulae over infinite transition systems represented by relational automata (RA). The general model checking problem for CTL* formulae over RA is shown undecidable, the undecidability being observed already on the class of Restricted CTL formulae. The decidability result, however, is obtained for another substantial subset of the logic, called A-CTL*+, which includes all ”linear time” formulae.

Part of this work was performed while the author was visiting Department of Computing Science, Chalmers University of Technology, Göteborg, Sweden.

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References

  1. P.Abdulla, B.Jonsson, Verifying Programs with Unreliable Channels, in Proc. of LICS'93, Montreal, Canada, 1993.

    Google Scholar 

  2. P.A.Abdulla, B.Jonsson, Undecidable Verification Problems for Programs with Unreliable Channels, in Proc. of ICALP'94, LNCS, this volume, 1994.

    Google Scholar 

  3. R. Alur and D.Dill, Automata for Modelling Real-Time Systems, in Proc. of ICALP'90, LNCS, No.443, 1990.

    Google Scholar 

  4. R. Alur, C.Courcoubetis and D.Dill, Model-Checking for Real-Time Systems, in Proc. of LICS'90, pp. 414–425, 1990.

    Google Scholar 

  5. A. Auziņš, J. Bārzdiņš, J. Bičevskis, K. Čerāns and A. Kalniņš, Automatic Construction of Test Sets: Theoretical Approach, in Baltic Computer Science, LNCS, No. 502, 1991.

    Google Scholar 

  6. J.M.Barzdin, J.J.Bicevskis and A.A.Kalninsh, Construction of Complete Sample Systems for Program Testing, in Latv. Gosudarst. Univ. Uch. Zapiski, Vol.210, 1974 (In Russian).

    Google Scholar 

  7. J.M.Barzdin, J.J.Bicevskis and A.A.Kalninsh, Automatic Construction of Complete Sample Systems for Program Testing, in Proc. IFIP Congress, 1977, North-Holland 1977.

    Google Scholar 

  8. O. Burkhart, B. Steffen, Model Checking for Context-Free Processes, In Proc. of CONCUR'92, LNCS No. 630, 1992.

    Google Scholar 

  9. K. Čerāns, Feasibility of Finite and Infinite Paths in Data Dependent Programs, in Proc. for LFCS'92, Russia, Tver, LNCS No. 620, 1992.

    Google Scholar 

  10. K. Čerāns, Decidability of Bisimulation Equivalences for Parallel Timer Processes, in Proc. of CAV'92, LNCS No.663, 1992.

    Google Scholar 

  11. K. Čerāns, Deciding Properties of Relational Automata: Reachability Relation Characterization, in Proc. of 4th Nordic Workshop on Program Correctness, Report No.78, Department of Informatics, University of Bergen, Bergen, Norway, 1993.

    Google Scholar 

  12. K. Čerāns, Deciding Properties of Integral Relational Automata, in Proc. of El Wintermöte, Report No.73, PMG, Dept. of Computer Sciences, Chalmers University of Technology, Göteborg, Sweden, 1993.

    Google Scholar 

  13. S. Christensen, Y. Hirshfeld, F. Moller Bisimulation equivalence is decidable for Basic Parallel processes, in Proc. of CONCUR'93, LNCS No. 715, 1993.

    Google Scholar 

  14. S. Christensen, H. Hüttel, C. Stirling, Bisimulation equivalence is decidable for all context free processes, in Proc. of CONCUR'92, LNCS No. 630, 1992.

    Google Scholar 

  15. E.M.Clarke, E.A.Emerson and A.P.Sistla, Automatic Verification of Finite-State Concurrent Systems using Temporal Logic Specifications, in ACM Transactions on Programming Languages and Systems, Vol.8, No.2, 1986.

    Google Scholar 

  16. E.A.Emerson, J.Y.Hailpern, “Sometimes” and “not never” revisited: On Branching versus Linear Time, in Proc. of ACM POPL'83, 1983.

    Google Scholar 

  17. J. Esparza, On the decidability of model checking for several μ-calculi and Petri nets, Report ECS-LFCS-93-274, Department of Computer Science, University of Edinburgh, 1993.

    Google Scholar 

  18. P. Jančar, Decidability Questions for Bisimilarity of Petri Nets and Some Related Problems, Report ECS-LFCS-93-261, Department of Computer Science, University of Edinburgh, 1993.

    Google Scholar 

  19. S.R. Kosaraju, Decidability of reachability in vector addition systems, in Proc. 6th ACM STOC, 1982.

    Google Scholar 

  20. S. Mayr, An algorithm for the general Petri net reachability problem, SIAM J. of Computing 13(3), pp.441–460, 1984.

    Google Scholar 

  21. M. Minsky, Finite and Infinite Machines, Prentice Hall, Englewood Cliffs, N.Y., 1967.

    Google Scholar 

  22. J.L. Peterson, Petri Net Theory and the Modelling of Systems, Prentice Hall, 1981.

    Google Scholar 

  23. A.P.Sistla, M.Y.Vardi, P.Wolper, The Complementation Problem for Büchi Automata With Applications to Temporal Logic, Theoretical Computer Science No.49, 1987.

    Google Scholar 

  24. M.Y. Vardi, P. Wolper, An Automata-Theoretic Approach to Automatic Program Verification, in Proc. of LICS, 1986.

    Google Scholar 

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Serge Abiteboul Eli Shamir

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© 1994 Springer-Verlag Berlin Heidelberg

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Čerāns, K. (1994). Deciding properties of integral relational automata. In: Abiteboul, S., Shamir, E. (eds) Automata, Languages and Programming. ICALP 1994. Lecture Notes in Computer Science, vol 820. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58201-0_56

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  • DOI: https://doi.org/10.1007/3-540-58201-0_56

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  • Print ISBN: 978-3-540-58201-4

  • Online ISBN: 978-3-540-48566-7

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