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SProc Categorically

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Book cover CONCUR ’94: Concurrency Theory (CONCUR 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 836))

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Abstract

We provide a systematic reconstruction of Abramsky’s category SProc of synchronous processes [Abr93]: SProc is isomorphic to a span category on a category of traces. The significance of the work is twofold: It shows that the original presentation of SProc in mixed formulations is unnecessary — a simple categorical description exists. Furthermore, the techniques employed in the reconstruction suggest a general method of obtaining process categories with structure similar to SProc. In particular, the method of obtaining bisimulation equivalence in our setting, which represents an extension of the work of Joyal, Nielsen and Winskel [JNW93], has natural application in many settings.

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© 1994 Springer-Verlag Berlin Heidelberg

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Cockett, J.R.B., Spooner, D.A. (1994). SProc Categorically. In: Jonsson, B., Parrow, J. (eds) CONCUR ’94: Concurrency Theory. CONCUR 1994. Lecture Notes in Computer Science, vol 836. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-48654-1_13

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  • DOI: https://doi.org/10.1007/978-3-540-48654-1_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58329-5

  • Online ISBN: 978-3-540-48654-1

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