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Bigraphs for Petri Nets

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Lectures on Concurrency and Petri Nets (ACPN 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3098))

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Abstract

A simple example is given of the use of bigraphical reactive systems (BRSs). It provides a behavioural semantics for condition-event Petri nets whose interfaces are named condition nodes, using a simple form of BRS equipped with a labelled transition system and its associated bisimilarity equivalence. Both of the latter are derived from the standard net firing rules by a uniform technique in bigraphs, which also ensures that the bisimilarity is a congruence. Furthermore, this bisimilarity is shown to coincide with one induced by a natural notion of experiment on condition-event nets, defined independently of bigraphs.

The paper is intended as a bridge between Petri net theory and bigraphs, as well as a pedagogical exercise in the latter.

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Milner, R. (2004). Bigraphs for Petri Nets. In: Desel, J., Reisig, W., Rozenberg, G. (eds) Lectures on Concurrency and Petri Nets. ACPN 2003. Lecture Notes in Computer Science, vol 3098. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27755-2_19

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  • DOI: https://doi.org/10.1007/978-3-540-27755-2_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22261-3

  • Online ISBN: 978-3-540-27755-2

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