Comparison of the Expressiveness of Timed Automata and Time Petri Nets - Archive ouverte HAL
Communication Dans Un Congrès Année : 2005

Comparison of the Expressiveness of Timed Automata and Time Petri Nets

Résumé

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 expressive- ness of the two models w.r.t. timed language acceptance and (weak) timed bisimilarity. We first prove that there exists a TA A s.t. there is no TPN (even unbounded) that is (weakly) timed bisimilar to A. We then propose a structural translation from TA to (1-safe) TPNs preserv- ing timed language acceptance. Further on, we prove that the previous (slightly extended) translation also preserves weak timed bisimilarity for a syntactical subclass $T_{Asyn}(\leq,\geq)$ 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 $T_{Asyn}(\leq,\geq)$, bounded and 1-safe TPNs ''`a la Merlin'' are equally ex- pressive w.r.t. timed bisimilarity.
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Dates et versions

inria-00368577 , version 1 (17-03-2009)

Identifiants

Citer

Béatrice Berard, Franck Cassez, Serge Haddad, Didier Lime, Olivier Henri Roux. Comparison of the Expressiveness of Timed Automata and Time Petri Nets. FORMATS 2005 - 3rd International Conference on Formal Modeling and Analysis of Timed Systems, Sep 2005, Uppsala, Sweden. pp.211-225, ⟨10.1007/11603009_17⟩. ⟨inria-00368577⟩
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