Refinement and asynchronous composition of modal petri nets

  • Authors:
  • Dorsaf Elhog-Benzina;Serge Haddad;Rolf Hennicker

  • Affiliations:
  • LSV, CNRS & Ecole Normale Supérieure de Cachan, Cachan, France;LSV, CNRS & Ecole Normale Supérieure de Cachan, Cachan, France;Institut für Informatik, Universität München, München, Germany

  • Venue:
  • Transactions on Petri Nets and Other Models of Concurrency V
  • Year:
  • 2012

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Abstract

We propose a framework for the specification of infinite state systems based on Petri nets with distinguished may- and must-transitions (called modalities) which specify the allowed and the required behavior of refinements and hence of implementations. For any modal Petri net, we define its generated modal language specification which abstracts away silent transitions. On this basis we consider refinements of modal Petri nets by relating their generated modal language specifications. We show that this refinement relation is decidable if the underlying modal Petri nets are weakly deterministic. We also show that the membership problem for the class of weakly deterministic modal Petri nets is decidable. As an important application scenario of our approach we consider I/O-Petri nets and their asynchronous composition which typically leads to an infinite state system.