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Functional Concurrent Semantics for Petri Nets with Read and Inhibitor Arcs

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1877))

Abstract

We propose a functorial concurrent semantics for Petri nets extended with read and inhibitor arcs, that we call inhibitor nets. Along the lines of the seminal work of Winskel on safe nets, the truly concurrent semantics is given at a categorical level via a chain of functors leading from the category SW-IN of semi-weighted inhibitor nets to the category Dom of finitary prime algebraic domains. As an intermediate semantic model, we introduce inhibitor event structures, an extension of prime event structures able to faithfully capture the dependencies among events which arise in the presence of read and inhibitor arcs.

Research partly supported by the TMR Network GETGRATS, by the Esprit Working Groups APPLIGRAPH and by the MURST project TOSCA.

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© 2000 Springer-Verlag Berlin Heidelberg

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Baldan, P., Busi, N., Corradini, A., Michele Pinna, G. (2000). Functional Concurrent Semantics for Petri Nets with Read and Inhibitor Arcs. In: Palamidessi, C. (eds) CONCUR 2000 — Concurrency Theory. CONCUR 2000. Lecture Notes in Computer Science, vol 1877. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44618-4_32

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  • DOI: https://doi.org/10.1007/3-540-44618-4_32

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67897-7

  • Online ISBN: 978-3-540-44618-7

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