Properties of Conflict-Free and Persistent Petri Nets
Journal of the ACM (JACM)
Place or Transition Petri Nets
Lectures on Petri Nets I: Basic Models, Advances in Petri Nets, the volumes are based on the Advanced Course on Petri Nets
Decidability of reachability in vector addition systems (Preliminary Version)
STOC '82 Proceedings of the fourteenth annual ACM symposium on Theory of computing
An algorithm for the general Petri net reachability problem
STOC '81 Proceedings of the thirteenth annual ACM symposium on Theory of computing
Decomposition Theorems for Bounded Persistent Petri Nets
PETRI NETS '08 Proceedings of the 29th international conference on Applications and Theory of Petri Nets
Journal of Computer and System Sciences
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The notion of persistency, based on the rule "no action can disable another one" is one of the classical notions in concurrency theory. We propose two ways of generalization of this notion: the first is "no action can kill another one" and the second "no action can kill another enabled one". We study the three notions in the context of place/transition nets, the fundamental class of Petri nets. We prove that the three classes of persistency form an increased strict hierarchy. The final section of the paper deals with decision problems about persistency. We show that the set reachability problem is decidable for rational convex sets, and using this result we prove that all kinds of persistency are decidable in the class place/transition nets.