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A new strategy for proving ω-completeness applied to process algebra

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CONCUR '90 Theories of Concurrency: Unification and Extension (CONCUR 1990)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 458))

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Abstract

A new technique for proving ω-completeness based on proof transformations is presented. This technique is applied to axiom systems for finite, concrete, sequential processes. It turns out that the number of actions is important for these sets to be ω-complete. For the axiom systems for bisimulation and completed trace semantics one action suffices and for traces 2 actions are enough. The ready, failure, ready trace and failure trace axioms are only ω-complete if an infinite number of actions is available. We also consider process algebra with parallelism and show several axiom sets containing the axioms of standard concurrency ω-complete.

The author is supported by the European Communities under RACE project no. 1046, Specification and Programming Environment for Communication Software (SPECS). This article also appears as report CS-R90XX, Centrum voor Wiskunde en Informatica, Amsterdam

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Authors and Affiliations

  1. Centre for Mathematics and Computer Science, P.O. Box 4079, 1009 AB, Amsterdam, The Netherlands

    Jan Friso Groote

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  1. Jan Friso Groote
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J. C. M. Baeten J. W. Klop

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© 1990 Springer-Verlag Berlin Heidelberg

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Groote, J.F. (1990). A new strategy for proving ω-completeness applied to process algebra. In: Baeten, J.C.M., Klop, J.W. (eds) CONCUR '90 Theories of Concurrency: Unification and Extension. CONCUR 1990. Lecture Notes in Computer Science, vol 458. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0039068

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  • DOI: https://doi.org/10.1007/BFb0039068

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53048-0

  • Online ISBN: 978-3-540-46395-5

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