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Enhancing the Inverse Method with State Merging

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NASA Formal Methods (NFM 2012)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 7226))

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Abstract

Keeping the state space small is essential when verifying real-time systems using Timed Automata (TA). In the model-checker Uppaal, the merging operation has been used extensively in order to reduce the number of states. Actually, Uppaal’s merging technique applies within the more general setting of Parametric Timed Automata (PTA). The Inverse Method (IM) for a PTA \(\mathcal{A}\) is a procedure that synthesizes a zone around a given point π 0 (parameter valuation) over which \(\mathcal{A}\) is guaranteed to behave in an equivalent time-abstract manner. We show that the integration of merging into IM leads to the synthesis of larger zones around π 0. It also often improves the performance of IM, both in terms of computational space and time, as shown by our experimental results.

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References

  1. Abdeddaïm, Y., Maler, O.: Job-Shop Scheduling Using Timed Automata. In: Berry, G., Comon, H., Finkel, A. (eds.) CAV 2001. LNCS, vol. 2102, pp. 478–492. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  2. André, É., Chatain, T., Encrenaz, E., Fribourg, L.: An inverse method for parametric timed automata. IJFCS 20(5), 819–836 (2009)

    MATH  Google Scholar 

  3. André, É., Soulat, R.: Synthesis of Timing Parameters Satisfying Safety Properties. In: Delzanno, G., Potapov, I. (eds.) RP 2011. LNCS, vol. 6945, pp. 31–44. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  4. André, É.: IMITATOR II: A tool for solving the good parameters problem in timed automata. In: INFINITY, pp. 91–99 (2010)

    Google Scholar 

  5. André, É.: An Inverse Method for the Synthesis of Timing Parameters in Concurrent Systems. Thèse de doctorat, ENS Cachan, France (2010)

    Google Scholar 

  6. Bagnara, R., Hill, P.M., Zaffanella, E.: The Parma Polyhedra Library: Toward a complete set of numerical abstractions for the analysis and verification of hardware and software systems. Science of Computer Programming 72(1–2), 3–21 (2008)

    Article  MathSciNet  Google Scholar 

  7. David, A.: Merging DBMs efficiently. In: 17th Nordic Workshop on Programming Theory, pp. 54–56. DIKU, University of Copenhagen (2005)

    Google Scholar 

  8. David, A.: Uppaal DBM Library Programmer’s Reference (2006), http://people.cs.aau.dk/~adavid/UDBM/manual-061023.pdf

  9. Henzinger, T.A., Ho, P.H., Wong-Toi, H.: A user guide to HyTech. In: Brinksma, E., Steffen, B., Cleaveland, W.R., Larsen, K.G., Margaria, T. (eds.) TACAS 1995. LNCS, vol. 1019, pp. 41–71. Springer, Heidelberg (1995)

    Chapter  Google Scholar 

  10. Markey, N.: Robustness in real-time systems. In: SIES 2011, Sweden, pp. 28–34. IEEE Computer Society Press (2011)

    Google Scholar 

  11. Salah, R.B., Bozga, M., Maler, O.: On Interleaving in Timed Automata. In: Baier, C., Hermanns, H. (eds.) CONCUR 2006. LNCS, vol. 4137, pp. 465–476. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

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André, É., Fribourg, L., Soulat, R. (2012). Enhancing the Inverse Method with State Merging. In: Goodloe, A.E., Person, S. (eds) NASA Formal Methods. NFM 2012. Lecture Notes in Computer Science, vol 7226. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28891-3_10

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  • DOI: https://doi.org/10.1007/978-3-642-28891-3_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28890-6

  • Online ISBN: 978-3-642-28891-3

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