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Verification of context-free timed systems using linear hybrid observers

  • Ahmed Bouajjani
  • Rachid Echahed
  • Riadh Robbana
Hybrid Systems
Part of the Lecture Notes in Computer Science book series (LNCS, volume 818)

Abstract

We address the verification problem of infinite timed systems. We consider context-free timed systems defined as a generalization of the (regular) timed graphs [ACD90]. Then, we propose decision procedures for the verification of invariance properties of these systems, expressed by means of observation variables. These variables record relevant informations about the computations of the observed system. They are permanently updated along these computations without any interference with the behaviour of the system. Observation variables are either additional clocks (timers), nonbounded integer variables (accumulators), or constant slope continuous (real valued) variables (integrators).

Keywords

Hybrid System Invariance Property Region Graph Integration Constraint Derivation Rule 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. [ACD90]
    R. Alur, C. Courcoubetis, and D. Dill. Model-Checking for Real-Time Systems. In LICS'90. IEEE, 1990.Google Scholar
  2. [ACH93]
    R. Alur, C. Courcoubetis, and T. A. Henzinger. Computing Accumulated Delays in Real-time Systems. In Hybrid Systems, 1993. LNCS 736.Google Scholar
  3. [ACHH93]
    R. Alur, C. Courcoubetis, T. Henzinger, and P-H. Ho. Hybrid Automata: An Algorithmic Approach to the Specification and Verification of Hybrid Systems. In Hybrid Systems, 1993. LNCS 736.Google Scholar
  4. [BBK87]
    J.C.M. Baeten, J.A. Bergstra, and J.W. Klop. Decidability of Bisimulation Equivalence for Processes Generating Context-Free Languages. Tech. Rep. CS-R8632, 1987. CWI.Google Scholar
  5. [BER93]
    A. Bouajjani, R. Echahed, and R. Robbana. Verification of Nonregular Temporal Properties for Context-Free Processes, submitted for publication, 1993.Google Scholar
  6. [BER94]
    A. Bouajjani, R. Echahed, and R. Robbana. Verification of Context-Free Timed Systems using Linear Hybrid Observers. Tech. Rep. Spectre-94-4, Verimag, Grenoble, January 1994.Google Scholar
  7. [BES93]
    A. Bouajjani, R. Echahed, and J. Sifakis. On Model Checking for Real-Time Properties with Durations. In LICS'93. IEEE, 1993.Google Scholar
  8. [BS92]
    O. Burkart and B. Steffen. Model Checking for Context-Free Processes. In CON-CUR'92, 1992. LNCS 630.Google Scholar
  9. [Cer92]
    K. Cerans. Decidability of Bisimulation Equivalence for Parallel Timer Processes. In CAV'92, 1992. LNCS 663.Google Scholar
  10. [CES83]
    E.M. Clarke, E.A. Emerson, and E. Sistla. Automatic Verification of Finite State Concurrent Systems using Temporal Logic Specifications: A Practical Approach. In POPL'83. ACM, 1983.Google Scholar
  11. [CGL93]
    K. Cerans, J. Godskesen, and K. Larsen. Timed Modal Specification: Theory and Tools. In CAV'93. LNCS 697, 1993.Google Scholar
  12. [CHR91]
    Z. Chaochen, C.A.R. Hoare, and A.P. Ravn. A Calculus of Durations. Information Processing Letters, 40:269–276, 1991.Google Scholar
  13. [CHS92]
    S. Christensen, H. Hüttel, and C. Stirling. Bisimulation Equivalence is Decidable for all Context-Free Processes. In CONCUR'92, 1992. LNCS 630.Google Scholar
  14. [CS91]
    R. Cleaveland and B. Steffen. A Linear-Time Model-Checking Algorithm for the Alternation-Free Modal Mu-Calculus. In Proc. Computer-Aided Verification (CAV'91), 1991. LNCS 575.Google Scholar
  15. [EL86]
    E.A. Emerson and C.L. Lei. Efficient Model-Checking in Fragments of the Propositional Μ-Calculus. In LICS'86, 1986.Google Scholar
  16. [GH91]
    J.F. Groote and H. Hüttel. Undecidable Equivalences for Basic Process Algebra. Tech. Rep. ECS-LFCS-91-169, 1991. Dep. of Computer Science, Univ. of Edinburgh.Google Scholar
  17. [Har78]
    M.A. Harrison. Introduction to Formal Language Theory. Addison-Wesley Pub. Comp., 1978.Google Scholar
  18. [HMP92]
    T. Henzinger, Z. Manna, and A. Pnueli. What Good are Digital Clocks? In ICALP'92, 1992. LNCS 623.Google Scholar
  19. [HNSY92]
    T.A. Henzinger, X. Nicollin, J. Sifakis, and S. Yovine. Symbolic Model-Checking for Real-Time Systems. In LICS'92. IEEE, 1992.Google Scholar
  20. [KPSY93]
    Y. Kesten, A. Pnueli, J. Sifakis, and S. Yovine. Integration Graphs: A Class of Decidable Hybrid System s. In Hybrid Systems, 1993. LNCS 736.Google Scholar
  21. [KS83]
    P. Kanellakis and S.A. Smolka. CCS Expressions, Finite State Processes, and Three Problems of Equivalence. In PODC'83. ACM, 1983.Google Scholar
  22. [Mil80]
    R. Milner. A Calculus of Communication Systems. 1980. LNCS 92.Google Scholar
  23. [MMP92]
    O. Maler, Z. Manna, and A. Pnueli. A Formal Approach to Hybrid Systems. In REX workshop on Real-Time: Theory and Practice, 1992. LNCS 600.Google Scholar
  24. [MP93]
    Z. Manna and A. Pnueli. Verifying Hybrid Systems. In Hybrid Systems, 1993. LNCS 736.Google Scholar
  25. [NOSY93]
    X. Nicollin, A. Olivero, J. Sifakis, and S. Yovine. An Approach to the Description and Analysis of Hybrid Systems. In Hybrid Systems, 1993. LNCS 736.Google Scholar
  26. [NRSV90]
    X. Nicollin, J.-L. Richier, J. Sifakis, and J. Voiron. ATP: an Algebra for Timed Processes. In IFIP TC2 Working Conf. on Prog. Concepts and Methods, 1990: Israel.Google Scholar
  27. [Par81]
    D. Park. Concurrency and Automata on Infinite Sequences. In 5th GI-Conference on Theoretical Computer Science. 1981. LNCS 104.Google Scholar
  28. [QS82]
    J-P. Queille and J. Sifakis. Specification and Verification of Concurrent Systems in CESAR. In Intern. Symp. on Programming, LNCS 137, 1982.Google Scholar
  29. [VW86]
    M.Y. Vardi and P. Wolper. An Automata-Theoretic Approach to Automatic Program Verification. In LICS'86. IEEE, 1986.Google Scholar
  30. [Wan90]
    Y. Wang. Real Time Behaviour of Asynchronous Agents. In CONCUR'90, 1990. LNCS 458.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Ahmed Bouajjani
    • 1
  • Rachid Echahed
    • 2
  • Riadh Robbana
    • 1
  1. 1.VERIMAG-SPECTREMontbonnot St-MartinFrance
  2. 2.LGI-IMAGGrenoble cedexFrance

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