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Petri Nets and Reliable Real-Time Systems

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Application and Theory of Petri Nets

Part of the book series: Informatik-Fachberichte ((INFORMATIK,volume 52))

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Abstract

The zero-test problem is a well-known limitation of Petri nets, and unfortunately it appears very frequently when reliable real-time systems are concerned. If the Petri net is bounded (it is generally the case when actual systems are specified), the zero-test problem can be solved by the introduction of complementary places. Nevertheless this solution presents three major drawbacks:

  • the specification becomes little readable,

  • the net can rarely be reduced,

  • the information given by the linear invariants does not take into account the elementary loops and therefore the zero-tests.

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References

  1. Lautenbach K., Schmid H.A. “Use of Petri nets for proving correctness of concurrent process systems” IFIP Congress, 1974, p. 187–191.

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  2. Latapie G. “Validation et mise en oeuvre de la synchronisation dans un système multiprocesseur à mémoire dupliquée” Thèse de Docteur de 3e cycle, Toulouse, 1980.

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  3. Berthelot G. “Vérification de réseaux de Petri” Thèse de Docteur de 3e cycle, Université Pierre et Marie Curie, Paris, 1978.

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  4. Keller R.M. “Formal verification of parallel programs” Com. ACM, July 1976, vol 19, N°7, p. 371–384.

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  5. Valette R., Diaz M. “A methodology for easily provable implementation of synchronization mechanisms” First Europ. Conf. on Parallel and Distributed Processing, Toulouse, 1979, p. 156–162.

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© 1982 Springer-Verlag Berlin Heidelberg

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Valette, R. (1982). Petri Nets and Reliable Real-Time Systems. In: Girault, C., Reisig, W. (eds) Application and Theory of Petri Nets. Informatik-Fachberichte, vol 52. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-68353-4_38

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  • DOI: https://doi.org/10.1007/978-3-642-68353-4_38

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11189-4

  • Online ISBN: 978-3-642-68353-4

  • eBook Packages: Springer Book Archive

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