Modular verification of petri nets properties: a structure-based approach

  • Authors:
  • Kais Klai;Serge Haddad;Jean-Michel Ilié

  • Affiliations:
  • LaBRI CNRS UMR 5800, Université de Bordeaux I, Talence, France;LAMSADE CNRS UMR 7024, Université de Paris Dauphine, France;LIP6 CNRS UMR 7606, Université de Paris 6, France

  • Venue:
  • FORTE'05 Proceedings of the 25th IFIP WG 6.1 international conference on Formal Techniques for Networked and Distributed Systems
  • Year:
  • 2005

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Abstract

In this paper, we address the modular verification problem for a Petri net obtained by composition of two subnets. At first, we show how to transform an asynchronous composition into a synchronous one where the new subnets are augmented from the original ones by means of linear invariants. Then we introduce a non-constraining rela- tion between subnets based on their behaviour. Whenever this relation is satisfied, standard properties like the liveness and the boundedness and generic properties specified by a linear time logic may be checked by examination of the augmented subnets in isolation. Finally, we give a sufficient condition for this relation which can be detected modularly using an efficient algorithm.