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Trace Abstraction Refinement for Timed Automata

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Automated Technology for Verification and Analysis (ATVA 2014)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 8837))

Abstract

Timed automata are a well known formalism for modeling real-time systems. Model checking of timed automata is important for ensuring that the systems satisfy certain properties. Safety is one of the most important properties for timed automata. In this paper we propose a method for the safety checking of timed automata, which is an adaptation of the general trace abstraction refinement framework to timed automata. The feature of our work is that we use zone-based LU-abstraction instead of interpolation techniques. This method performs zone computation only when necessary, and the abstraction on zones is coarser because only part of the control structure is considered when computing LU-bounds. We give an example to show when this method could perform more efficiently than the traditional zone-based search algorithm.

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References

  1. Alur, R., Dill, D.L.: Automata for modeling real-time systems. In: Paterson, M. (ed.) ICALP 1990. LNCS, vol. 443, pp. 322–335. Springer, Heidelberg (1990)

    Chapter  Google Scholar 

  2. Asarin, E., Bozga, M., Kerbrat, A., Maler, O., Pnueli, A., Rasse, A.: Data-structures for the verification of timed automata. In: Maler, O. (ed.) HART 1997. LNCS, vol. 1201, pp. 346–360. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  3. Behrmann, G., Bouyer, P., Fleury, E., Larsen, K.G.: Static guard analysis in timed automata verification. In: Garavel, H., Hatcliff, J. (eds.) TACAS 2003. LNCS, vol. 2619, pp. 254–270. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  4. Behrmann, G., Bouyer, P., Larsen, K.G., Pelánek, R.: Lower and upper bounds in zone based abstractions of timed automata. In: Jensen, K., Podelski, A. (eds.) TACAS 2004. LNCS, vol. 2988, pp. 312–326. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  5. Bengtsson, J., Larsen, K.G., Larsson, F., Pettersson, P., Yi, W.: Uppaal - a tool suite for automatic verification of real-time systems. In: Alur, R., Sontag, E.D., Henzinger, T.A. (eds.) HS 1995. LNCS, vol. 1066, pp. 232–243. Springer, Heidelberg (1996)

    Chapter  Google Scholar 

  6. Bengtsson, J., Yi, W.: Timed automata: Semantics, algorithms and tools. In: Desel, J., Reisig, W., Rozenberg, G. (eds.) Lectures on Concurrency and Petri Nets. LNCS, vol. 3098, pp. 87–124. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  7. Beyer, D.: Improvements in bdd-based reachability analysis of timed automata. In: Oliveira, J.N., Zave, P. (eds.) FME 2001. LNCS, vol. 2021, pp. 318–343. Springer, Heidelberg (2001)

    Google Scholar 

  8. Clarke, E.M., Grumberg, O., Jha, S., Lu, Y., Veith, H.: Counterexample-guided abstraction refinement. In: Emerson, E.A., Sistla, A.P. (eds.) CAV 2000. LNCS, vol. 1855, pp. 154–169. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  9. Dierks, H., Kupferschmid, S., Larsen, K.G.: Automatic abstraction refinement for timed automata. In: Raskin, J.-F., Thiagarajan, P.S. (eds.) FORMATS 2007. LNCS, vol. 4763, pp. 114–129. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  10. Ehlers, R., Fass, D., Gerke, M., Peter, H.-J.: Fully symbolic timed model checking using constraint matrix diagrams. In: RTSS, pp. 360–371. IEEE Computer Society (2010)

    Google Scholar 

  11. Heizmann, M., Hoenicke, J., Podelski, A.: Refinement of trace abstraction. In: Palsberg, J., Su, Z. (eds.) SAS 2009. LNCS, vol. 5673, pp. 69–85. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  12. Heizmann, M., Hoenicke, J., Podelski, A.: Software model checking for people who love automata. In: Sharygina, N., Veith, H. (eds.) CAV 2013. LNCS, vol. 8044, pp. 36–52. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  13. Henzinger, T.A., Jhala, R., Majumdar, R., Sutre, G.: Lazy abstraction. In: Launchbury, J., Mitchell, J.C. (eds.) POPL, pp. 58–70. ACM (2002)

    Google Scholar 

  14. Herbreteau, F., Srivathsan, B., Walukiewicz, I.: Better abstractions for timed automata. In: LICS, pp. 375–384. IEEE (2012)

    Google Scholar 

  15. Herbreteau, F., Srivathsan, B., Walukiewicz, I.: Lazy abstractions for timed automata. CoRR abs/1301.3127 (2013)

    Google Scholar 

  16. Kemper, S., Platzer, A.: Sat-based abstraction refinement for real-time systems. Electr. Notes Theor. Comput. Sci. 182, 107–122 (2007)

    Article  Google Scholar 

  17. Kindermann, R., Junttila, T.A., Niemelä, I.: Beyond lassos: Complete smt-based bounded model checking for timed automata. In: Giese, H., Rosu, G. (eds.) FORTE/FMOODS 2012. LNCS, vol. 7273, pp. 84–100. Springer, Heidelberg (2012)

    Google Scholar 

  18. Larsen, K.G., Pearson, J., Weise, C., Yi, W.: Clock difference diagrams. Nord. J. Comput. 6(3), 271–298 (1999)

    MathSciNet  MATH  Google Scholar 

  19. Møller, J.B., Lichtenberg, J., Andersen, H.R., Hulgaard, H.: Fully symbolic model checking of timed systems using difference decision diagrams. Electr. Notes Theor. Comput. Sci. 23(2), 88–107 (1999)

    Article  Google Scholar 

  20. Nguyen, T.K., Sun, J., Liu, Y., Dong, J.S., Liu, Y.: Improved bdd-based discrete analysis of timed systems. In: Giannakopoulou, D., Méry, D. (eds.) FM 2012. LNCS, vol. 7436, pp. 326–340. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  21. Sorea, M.: Lazy approximation for dense real-time systems. In: Lakhnech, Y., Yovine, S. (eds.) FORMATS/FTRTFT 2004. LNCS, vol. 3253, pp. 363–378. Springer, Heidelberg (2004)

    Google Scholar 

  22. Wang, F.: Efficient verification of timed automata with bdd-like data-structures. In: Zuck, L.D., Attie, P.C., Cortesi, A., Mukhopadhyay, S. (eds.) VMCAI 2003. LNCS, vol. 2575, pp. 189–205. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  23. Wozna, B., Zbrzezny, A., Penczek, W.: Checking reachability properties for timed automata via sat. Fundam. Inform. 55(2), 223–241 (2003)

    MathSciNet  MATH  Google Scholar 

  24. Yovine, S.: Kronos: A verification tool for real-time systems. STTT 1(1-2), 123–133 (1997)

    Article  MATH  Google Scholar 

  25. Zbrzezny, A.: Improvements in sat-based reachability analysis for timed automata. Fundam. Inf. 60(1-4), 417–434 (2003)

    MathSciNet  Google Scholar 

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Wang, W., Jiao, L. (2014). Trace Abstraction Refinement for Timed Automata. In: Cassez, F., Raskin, JF. (eds) Automated Technology for Verification and Analysis. ATVA 2014. Lecture Notes in Computer Science, vol 8837. Springer, Cham. https://doi.org/10.1007/978-3-319-11936-6_28

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  • DOI: https://doi.org/10.1007/978-3-319-11936-6_28

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11935-9

  • Online ISBN: 978-3-319-11936-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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