A comparison between Petri-nets and graph grammars

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Abstract

A graph grammar is constructed from a given Petri-net so that direct derivation steps in the grammar correspond to firings of transitions in the net. This close relationship between Petri-nets and graph grammars allows to compare the concurrency concepts of the two theories. As an illustrating example the well-known dining-philosophers problem is discussed.

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Kreowski, H. J. (1981). A comparison between Petri-nets and graph grammars. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 100 LNCS, pp. 306–317). Springer Verlag. https://doi.org/10.1007/3-540-10291-4_22

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