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Petri nets and resource bisimulation

Published: 01 April 2003 Publication History

Abstract

Resources are defined as submultisets of Petri net markings. Two resources are called similar if replacing one of them by another in any marking doesn't change the Petri net's behavior. We define the relations of resource similarity and resource bisimulation and show that they are finitely based. In this paper the resource bisimulation is studied for different classes of Petri nets: ordinary Petri nets, high-level Petri nets and nested Petri nets — Petri nets with Petri nets as tokens.

References

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V. A. Bashkin and I. A. Lomazova. Reduction of Coloured Petri nets based on resource bisimulation. Joint Bulletin of NCC & IIS (Comp. Science), Vol. 13, pages 12-17. Novosibirsk, Russia, 2000.
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B. Farwer and I. Lomazova. A systematic approach towards object-based Petri net formalisms. In Proc. Int. Andrey Ershov memorial Conf. Perspectives of System Informatics, PSI 2001, volume 2244 of Lecture Notes in Computer Science, pages 255-267. Springer, 2002.
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  • (2005)Similarity of generalized resources in petri netsProceedings of the 8th international conference on Parallel Computing Technologies10.1007/11535294_3(27-41)Online publication date: 5-Sep-2005

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    Published In

    cover image Fundamenta Informaticae
    Fundamenta Informaticae  Volume 55, Issue 2
    Concurrency Specification and Programming (CS&P'2002), Part 2
    April 2003
    138 pages

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    IOS Press

    Netherlands

    Publication History

    Published: 01 April 2003

    Author Tags

    1. Petri nets
    2. bisimulation equivalence
    3. high-level Petri nets
    4. nested Petri nets
    5. resource similarity

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    • (2005)Similarity of generalized resources in petri netsProceedings of the 8th international conference on Parallel Computing Technologies10.1007/11535294_3(27-41)Online publication date: 5-Sep-2005

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