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Complete Finite Prefixes of Symbolic Unfoldings of Safe Time Petri Nets

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Petri Nets and Other Models of Concurrency - ICATPN 2006 (ICATPN 2006)

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Abstract

Time Petri nets have proved their interest in modeling real-time concurrent systems. Their usual semantics is defined in term of firing sequences, which can be coded in a (symbolic and global) state graph, computable from a bounded net. An alternative is to consider a “partial order” semantics given in term of processes, which keep explicit the notions of causality and concurrency without computing arbitrary interleavings. In ordinary place/transition bounded nets, it has been shown for many years that the whole set of processes can be finitely represented by a prefix of what is called the “unfolding”. This paper defines such a prefix for safe time Petri nets. It is based on a symbolic unfolding of the net, using a notion of “partial state”.

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References

  1. Kitai, T., Oguro, Y., Yoneda, T., Mercer, E., Myers, C.: Partial order reduction for timed circuit verification based on a level oriented model. IEICE Trans. E86-D(12), 2601–2611 (2001)

    Google Scholar 

  2. Penczek, W., Pólrola, A.: Abstractions and partial order reductions for checking branching properties of time Petri nets. In: Colom, J.-M., Koutny, M. (eds.) ICATPN 2001. LNCS, vol. 2075, pp. 323–342. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  3. Chatain, T., Jard, C.: Time Supervision of Concurrent Systems Using Symbolic Unfoldings of Time Petri Nets. In: Pettersson, P., Yi, W. (eds.) FORMATS 2005. LNCS, vol. 3829, pp. 196–210. Springer, Heidelberg (2005); Extended version available in INRIA Research Report RR-5706

    Google Scholar 

  4. Aura, T., Lilius, J.: Time processes for time Petri nets. In: Azéma, P., Balbo, G. (eds.) ICATPN 1997. LNCS, vol. 1248, pp. 136–155. Springer, Heidelberg (1997)

    Google Scholar 

  5. Lilius, J.: Efficient state space search for time Petri nets. In: MFCS Workshop on Concurrency 1998. ENTCS, vol. 18. Elsevier, Amsterdam (1999)

    Google Scholar 

  6. McMillan, K.L.: A technique of state space search based on unfolding. Formal Methods in System Design 6(1), 45–65 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  7. Esparza, J., Römer, S., Vogler, W.: An improvement of McMillan’s unfolding algorithm. Formal Methods in System Design 20(3), 285–310 (2002)

    Article  MATH  Google Scholar 

  8. Bieber, B., Fleischhack, H.: Model checking of time Petri nets based on partial order semantics. In: Baeten, J.C.M., Mauw, S. (eds.) CONCUR 1999. LNCS, vol. 1664, pp. 210–225. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  9. Fleischhack, H., Stehno, C.: Computing a finite prefix of a time Petri net. In: Esparza, J., Lakos, C.A. (eds.) ICATPN 2002. LNCS, vol. 2360, pp. 163–181. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  11. Semenov, A.L., Yakovlev, A.: Verification of asynchronous circuits using time Petri net unfolding. In: DAC, pp. 59–62. ACM Press, New York (1996)

    Google Scholar 

  12. Merlin, P., Farber, D.: Recoverability of communication protocols – implications of a theorical study. IEEE Transactions on Communications 24 (1976)

    Google Scholar 

  13. Engelfriet, J.: Branching processes of Petri nets. Acta Inf. 28(6), 575–591 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  14. Chatain, T., Jard, C.: Symbolic diagnosis of partially observable concurrent systems. In: de Frutos-Escrig, D., Núñez, M. (eds.) FORTE 2004. LNCS, vol. 3235, pp. 326–342. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  15. Best, E.: Structure theory of Petri nets: the free choice hiatus. In: Proceedings of an Advanced Course on Petri Nets: Central Models and Their Properties, Advances in Petri Nets 1986-Part I, London, UK, pp. 168–205. Springer, Heidelberg (1987)

    Chapter  Google Scholar 

  16. Baldan, P., Corradini, A., Montanari, U.: Contextual Petri nets, asymmetric event structures, and processes. Inf. Comput. 171(1), 1–49 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  17. Vogler, W., Semenov, A.L., Yakovlev, A.: Unfolding and finite prefix for nets with read arcs. In: Sangiorgi, D., de Simone, R. (eds.) CONCUR 1998. LNCS, vol. 1466, pp. 501–516. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

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Chatain, T., Jard, C. (2006). Complete Finite Prefixes of Symbolic Unfoldings of Safe Time Petri Nets. In: Donatelli, S., Thiagarajan, P.S. (eds) Petri Nets and Other Models of Concurrency - ICATPN 2006. ICATPN 2006. Lecture Notes in Computer Science, vol 4024. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11767589_8

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  • DOI: https://doi.org/10.1007/11767589_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34699-9

  • Online ISBN: 978-3-540-34700-2

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