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International Conference on Relational and Algebraic Methods in Computer Science

RAMICS 2011: Relational and Algebraic Methods in Computer Science pp 264–279Cite as

On Probabilistic Kleene Algebras, Automata and Simulations

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6663))

Abstract

We show that a class of automata modulo simulation equivalence forms a model of probabilistic Kleene algebra. We prove completeness of this model with respect to continuous probabilistic Kleene algebras. Hence an identity is valid in continuous probabilistic Kleene algebras if and only if the associated automata are simulation equivalent.

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Author information

Authors and Affiliations

  1. Department of Computing, Macquarie University, Australia

    Annabelle McIver

  2. Department of Computer Science, The University of Sheffield, UK

    Tahiry M. Rabehaja & Georg Struth

Authors
  1. Annabelle McIver
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  2. Tahiry M. Rabehaja
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  3. Georg Struth
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Editor information

Editors and Affiliations

  1. Faculty of Philosophy, Tilburg University, P.O. Box 90153, 5000, Tilburg, LE, The Netherlands

    Harrie de Swart

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McIver, A., Rabehaja, T.M., Struth, G. (2011). On Probabilistic Kleene Algebras, Automata and Simulations. In: de Swart, H. (eds) Relational and Algebraic Methods in Computer Science. RAMICS 2011. Lecture Notes in Computer Science, vol 6663. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21070-9_20

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  • DOI: https://doi.org/10.1007/978-3-642-21070-9_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21069-3

  • Online ISBN: 978-3-642-21070-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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