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Petri nets are a popular formalism for modeling and analyzing distributed systems. Tokens in Petri net models can represent the control flow state or resources produced/consumed by transition firings. We define a resource as a part (a submultiset) of Petri net markings and call two resources equivalent when replacing one of them with another in any marking does not change the observable Petri net behavior. We consider resource similarity and resource bisimilarity, two congruent restrictions of bisimulation equivalence on Petri net markings. Previously it was proved that resource similarity (the largest congruence included in bisimulation equivalence) is undecidable. Here we present an algorithm for checking resource bisimilarity, thereby proving that this relation (the largest congruence included in bisimulation equivalence that is a bisimulation) is decidable. We also give an example of two resources in a Petri net that are similar but not bisimilar.
Słowa kluczowe
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Czasopismo
Rocznik
Tom
Strony
175--194
Opis fizyczny
Bibliogr. 37 poz.
Twórcy
autor
- Dept. of Computer Science, Faculty of Science Palack´y University, Olomouc, Czechia
autor
- Dept. of Computer Science, Faculty of Science Palack´y University, Olomouc, Czechia
autor
- Dept. of Computer Science, Faculty of Science Palack´y University, Olomouc, Czechia
Bibliografia
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- [36] Bashkin VA, Lomazova IA. Reduction of Coloured Petri Nets based on resource bisimulation. Joint Bulletin of NCC & IIS (Comp. Science), 2000. 13:12–17.
- [37] Srba J. Strong bisimilarity of simple process algebras: complexity lower bounds. Acta Informatica, 2003. 39(6-7):469–499. doi:10.1007/s00236-003-0116-9.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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