Comparison of Different Semantics for Time Petri Nets

Béatrice Berard 1 Franck Cassez 2, 3 Serge Haddad 1, 4 Didier Lime 2 Olivier Henri Roux 2
1 LAMSADE - Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision
2 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes
3 NICTA - National ICT Australia [Sydney]
4 LSV - Laboratoire Spécification et Vérification [Cachan]
Abstract : In this paper we study the model of Time Petri Nets (TPNs) where a time interval is associated with the firing of a transition, but we extend it by considering general intervals rather than closed ones. A key feature of timed models is the memory policy, i.e. which timing informations are kept when a transition is fired. The original model selects an \emphintermediate semantics where the transitions disabled after consuming the tokens, as well as the firing transition, are reinitialised. However this semantics is not appropriate for some applications. So we consider here two alternative semantics: the \emphatomic and the \emphpersistent atomic ones. First we present relevant patterns of discrete event systems which show the interest of these semantics. Then we compare the expressiveness of the three semantics w.r.t. the weak time bisimilarity establishing inclusion results in the general case. Furthermore we show that some inclusions are strict with unrestricted intervals even when nets are bounded. Then we focus on bounded TPNs with upper-closed intervals and we prove that the semantics are equivalent. Finally taking into account both the practical and the theoretical issues, we conclude that persistent atomic semantics should be preferred.
Document type :
Conference papers
Complete list of metadatas

Cited literature [17 references]  Display  Hide  Download
https://hal.inria.fr/inria-00368580
Contributor : Franck Cassez <>
Submitted on : Tuesday, March 17, 2009 - 5:03:28 AM
Last modification on : Wednesday, December 19, 2018 - 3:02:04 PM
Long-term archiving on : Tuesday, June 8, 2010 - 11:32:16 PM

File

petri-nets-atva05.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : inria-00368580, version 1

Collections

EC-NANTES | IRCCYN-MEFORBIO | IRCCYN | UNIV-NANTES | UNAM | ENS-CACHAN | PSL

Citation

Béatrice Berard, Franck Cassez, Serge Haddad, Didier Lime, Olivier Henri Roux. Comparison of Different Semantics for Time Petri Nets. 3rd Int. Symp. on Automated Technology for Verification and Analysis (ATVA'05), Oct 2005, Taiwan, Taiwan. pp.293--307. ⟨inria-00368580⟩

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Record views

480

Files downloads

348

Contact


archive-ouverte@inria.fr