Authors
Béatrice Bérard, Franck Cassez, Serge Haddad, Didier Lime, Olivier H Roux
Publication date
2005/9/26
Book
International conference on formal modeling and analysis of timed systems
Pages
211-225
Publisher
Springer Berlin Heidelberg
Description
In this paper we consider the model of Time Petri Nets (TPN) where time is associated with transitions. We also consider Timed Automata (TA) as defined by Alur & Dill, and compare the expressiveness of the two models w.r.t. timed language acceptance and (weak) timed bisimilarity. We first prove that there exists a TA s.t. there is no TPN (even unbounded) that is (weakly) timed bisimilar to . We then propose a structural translation from TA to (1-safe) TPNs preserving timed language acceptance. Further on, we prove that the previous (slightly extended) translation also preserves weak timed bisimilarity for a syntactical subclass of TA. For the theory of TPNs, the consequences are: 1) TA, bounded TPNs and 1-safe TPNs are equally expressive w.r.t. timed language acceptance; 2) TA are strictly more expressive than bounded TPNs w.r.t. timed bisimilarity; 3) The subclass , bounded …
Total citations
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Scholar articles
B Bérard, F Cassez, S Haddad, D Lime, OH Roux - International conference on formal modeling and …, 2005