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A theory of bisimulation for the π-calculus

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Book cover CONCUR'93 (CONCUR 1993)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 715))

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Abstract

We study a new formulation of bisimulation for the π-calculus [9], which we have called open bisimulation (∼). In contrast with the previously known bisimilarity equivalences, ∼ is preserved by name substitution and (hence) by input prefix. The differences among all these equivalences already appear in the sublanguage without restriction: Here the definition of ∼ can be factorised into a “standard” part which, modulo the different syntax of actions, is the CCS bisimulation, and a part specific to the π-calculus, which requires name instantiation. Attractive features of ∼ are: a simple axiomatisation (of the finite terms), with a completeness proof which leads to the construction of minimal canonical representatives for the equivalence classes of ∼; an “efficient” characterisation, based on a modified transition system. This characterisation seems promising for the development of automated-verification tools and also shows the call-by-need flavour of ∼. Although in the paper we stick to π-calculus, the issues developed may be relevant to value-passing calculi in general.

Work supported by the ESPRIT BRA project “CONFER”.

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Authors and Affiliations

  1. Department of Computer Science, University of Edinburgh, UK

    Davide Sangiorgi

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  1. Davide Sangiorgi
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Eike Best

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© 1993 Springer-Verlag Berlin Heidelberg

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Sangiorgi, D. (1993). A theory of bisimulation for the π-calculus. In: Best, E. (eds) CONCUR'93. CONCUR 1993. Lecture Notes in Computer Science, vol 715. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57208-2_10

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  • DOI: https://doi.org/10.1007/3-540-57208-2_10

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57208-4

  • Online ISBN: 978-3-540-47968-0

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