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Bridging the Gap Between Timed Automata and Bounded Time Petri Nets

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 4202)

Abstract

Several recent papers investigate the relative expressiveness of Timed Automata and Time Petri Nets, two widespread models for realtime systems. It has been shown notably that Timed Automata and Bounded Time Petri Nets are equally expressive in terms of timed language acceptance, but that Timed Automata are strictly more expressive in terms of weak timed bisimilarity. This paper compares Timed Automata with Bounded Time Petri Nets extended with static Priorities, and shows that two large subsets of these models are equally expressive in terms of weak timed bisimilarity.

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References

  1. Alur, R.: Timed automata. In: Halbwachs, N., Peled, D.A. (eds.) CAV 1999. LNCS, vol. 1633, pp. 8–22. Springer, Heidelberg (1999)

    CrossRef  Google Scholar 

  2. Alur, R., Dill, D.L.: A theory of timed automata. TCS 126, 183–235 (1994)

    CrossRef  MATH  MathSciNet  Google Scholar 

  3. Bérard, B., Cassez, F., Haddad, S., Roux, O.H., Lime, D.: Comparison of the Expressiveness of Timed Automata and Time Petri Nets. In: Pettersson, P., Yi, W. (eds.) FORMATS 2005. LNCS, vol. 3829, pp. 211–225. Springer, Heidelberg (2005)

    CrossRef  Google Scholar 

  4. Berthomieu, B., Diaz, M.: Modeling and verification of time dependent systems using time Petri nets. IEEE Trans. on Software Engineering 17(3), 259–273 (1991)

    CrossRef  MathSciNet  Google Scholar 

  5. Berthomieu, B., Menasche, M.: An enumerative approach for analyzing time Petri nets. IFIP Congress Series 9, 41–46 (1983)

    Google Scholar 

  6. Berthomieu, B., Vernadat, F.: State class constructions for branching analysis of time Petri nets. In: Garavel, H., Hatcliff, J. (eds.) TACAS 2003. LNCS, vol. 2619, pp. 442–457. Springer, Heidelberg (2003)

    CrossRef  Google Scholar 

  7. Bornot, S., Sifakis, J., Tripakis, S.: Modeling urgency in timed systems. In: de Roever, W.-P., Langmaack, H., Pnueli, A. (eds.) COMPOS 1997. LNCS, vol. 1536, pp. 103–129. Springer, Heidelberg (1998)

    CrossRef  Google Scholar 

  8. Bouyer, P., Haddad, S., Reynier, P.-A.: Extended timed automata and time Petri nets. In: Proc. of 6th Int. Conf. on Application of Concurrency to System Design (ACSD 2006), Turku, Finland. IEEE Computer Society Press, Los Alamitos (2006)

    Google Scholar 

  9. Cassez, F., Roux, O.H.: Structural translation from time petri nets to timed automata. Journal of Systems and Software (forthcoming, 2006)

    Google Scholar 

  10. D’Argenio, P.R., Gebremichael, B.: The coarsest congruence for timed automata with deadlines contained in bisimulation. In: Abadi, M., de Alfaro, L. (eds.) CONCUR 2005. LNCS, vol. 3653, pp. 125–140. Springer, Heidelberg (2005)

    CrossRef  Google Scholar 

  11. Haar, S., Kaiser, L., Simonot-Lion, F., Toussaint, J.: Equivalence of Timed State Machines and safe Time Petri Nets. In: Proc. of the 6th Workshop on Discrete Events Systems (WODES 2002), Zaragoza, Spain, pp. 119–124 (October 2002)

    Google Scholar 

  12. Hack, M.: Petri net languages. TR 159. MIT, Cambridge, Mass (1976)

    Google Scholar 

  13. Larsen, K.G., Pettersson, P., Yi, W.Y.: Model-checking for real-time systems. In: Reichel, H. (ed.) FCT 1995. LNCS, vol. 965, pp. 62–88. Springer, Heidelberg (1995)

    Google Scholar 

  14. Lime, D., Roux, O.H.: State class timed automaton of a time Petri net. In: 10th International Workshop on Petri Nets and Performance Models (PNPM 2003), Urbana, USA, September 2003, pp. 124–133. IEEE Computer Society, Los Alamitos (2003)

    CrossRef  Google Scholar 

  15. Merlin, P.M., Farber, D.J.: Recoverability of communication protocols: Implications of a theoretical study. IEEE Tr. Comm. 24(9), 1036–1043 (1976)

    CrossRef  MATH  MathSciNet  Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Berthomieu, B., Peres, F., Vernadat, F. (2006). Bridging the Gap Between Timed Automata and Bounded Time Petri Nets. In: Asarin, E., Bouyer, P. (eds) Formal Modeling and Analysis of Timed Systems. FORMATS 2006. Lecture Notes in Computer Science, vol 4202. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11867340_7

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  • DOI: https://doi.org/10.1007/11867340_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-45026-9

  • Online ISBN: 978-3-540-45031-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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