Branching Processes of General Petri Nets

  • Authors:

  • Jean-Michel Couvreur;Denis Poitrenaud;Pascal Weil

  • Affiliations:

  • Université/ d'Orlé/ans, LIFO, Orlé/ans, France. jean-michel.couvreur@univ-orleans.fr;Université/ Pierre et Marie Curie, LIP6, Paris, France. denis.poitrenaud@lip6.fr;CNRS, LaBRI, UMR 5800, F-33400 Talence, France/ Univ. Bordeaux, LaBRI, UMR 5800, F-33400 Talence, France. pascal.weil@labri.fr

  • Venue:
  • Fundamenta Informaticae - Applications and Theory of Petri Nets and Other Models of Concurrency, 2011
  • Year:
  • 2013

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Abstract

We propose a new model of branching processes, suitable for describing the behavior of general Petri nets, without any finiteness or safeness assumption. In this framework, we define a new class of branching processes and unfoldings of a net N, which we call faithful. These coincide with the safe branching processes and unfoldings if N is safe, or weakly safe as in [Engelfriet 1991], but not in general. However, faithful branching processes and processes satisfy the good order-theoretic properties which make the safe processes of safe nets so useful in practice, and which are known not to hold for the safe processes of a general net. Faithful processes represent therefore good candidates to generalize the theory of safe nets to the general case.