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Convenient category of processes and simulations I: Modulo strong bisimilarity

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Category Theory and Computer Science (CTCS 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 953))

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Abstract

Deep categorical analyses of various aspects of concurrency have been developed, but a uniform categorical treatment of the very first concepts seems to be hindered by the fact that the existing representations of processes as bisimilarity classes do not provide a sufficient account of computational morphisms.

In the present paper, we describe a category of processes modulo strong bisimulations, with the bisimilarity preserving simulations as morphisms, and show that it is isomorphic to — and can be conveniently represented by — a subcategory of transition systems, with graph morphisms. The representative of each process and every morphism can effectively calculated, using coinduction (but with no reference to proper classes). The method is applicable to richer notions of a process as well, which are studied in the sequel.

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Authors and Affiliations

  1. Deptepartment of Computing, Imperial College of Science, Technology and Medicine, SW7 2BZ, London, England

    Duško Pavlović

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  1. Duško Pavlović
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David Pitt David E. Rydeheard Peter Johnstone

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© 1995 Springer-Verlag Berlin Heidelberg

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Pavlović, D. (1995). Convenient category of processes and simulations I: Modulo strong bisimilarity. In: Pitt, D., Rydeheard, D.E., Johnstone, P. (eds) Category Theory and Computer Science. CTCS 1995. Lecture Notes in Computer Science, vol 953. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60164-3_17

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  • DOI: https://doi.org/10.1007/3-540-60164-3_17

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60164-7

  • Online ISBN: 978-3-540-44661-3

  • eBook Packages: Springer Book Archive

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