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Local Event Structures and Petri Nets.

Hoogers, P.W.; Kleijn, H.C.M.; Thiagarajan, P.S.

In: Best, E.: Lecture Notes in Computer Science, Vol. 715; CONCUR'93. Springer-Verlag, 1993.

Abstract: In this paper we address the following question: What type of event structures are suitable for representing the behaviour of general Petri nets? We provide a partial answer to this question here. Our answer is partial in that we propose a new class of event structures, called OL-event structures, and show that OL-event structures can be used to represent the behaviour of Petri nets, provided auto-concurrency is filtered out from the behaviour of Petri nets. It turns out that this limited event structure semantics for Petri nets is nevertheless a nontrivial and conservative extension of the (prime) event structure semantics of 1-safe Petri nets. We also show that the strong relationship between prime event structures and 1-safe Petri nets established in a categorical framework can be extended to the present setting, provided we restrict our attention to the subclass of Petri nets whose behaviours do not exhibit any auto-concurrency.

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