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Regular marked Petri nets.

Desel, Jörg

In: van Leeuwen, J.: Lecture Notes in Computer Science, Vol. 790; Proceedings of Graph-Theoretic Concepts in Computer Science (WG'93), Utrecht, Jun 1993, pages 276-287. Springer-Verlag, 1994.

Abstract: A class of Petri nets called regular marked nets is introduced. Its definition refers to the linear algebraic representation of nets. It is shown that every regular marked net is live - i.e. no transition can get deadlocked - and bounded - i.e. its state space is finite. In turn, live and bounded marked extended free choice nets are a proper subclass of regular marked nets. A series of results concerning behavioural properties - i.e. properties of the corresponding state graph - which are known for live and bounded marked extended free choice nets are shown to hold for regular marked nets.

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