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A Unique Decomposition Theorem for Ordered Monoids with Applications in Process Theory

  • Bas Luttik
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2747)

Abstract

We prove a unique decomposition theorem for a class of ordered commutative monoids. Then, we use our theorem to establish that every weakly normed process definable in \({\mathsf{ACP}{}^{{\mathalpha{\varepsilon}}}}\) with bounded communication can be expressed as the parallel composition of a multiset of weakly normed parallel prime processes in exactly one way.

Keywords

Partial Order Parallel Operator Process Theory Operational Semantic Communication Function 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Bas Luttik
    • 1
  1. 1.Dept. of Theoretical Computer ScienceVrije Universiteit AmsterdamAmsterdamThe Netherlands

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