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On Unique Decomposition of Processes in the Applied π-Calculus

  • Jannik Dreier
  • Cristian Ene
  • Pascal Lafourcade
  • Yassine Lakhnech
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7794)

Abstract

Unique decomposition has been a subject of interest in process algebra for a long time (for example in BPP [2] or CCS [11,13]), as it provides a normal form with useful cancellation properties. We provide two parallel decomposition results for subsets of the Applied π-Calculus: we show that any closed normed (i.e. with a finite shortest complete trace) process P can be decomposed uniquely into prime factors P i with respect to strong labeled bisimilarity, i.e. such that P ~ l P 1 | …| P n . We also prove that closed finite processes can be decomposed uniquely with respect to weak labeled bisimilarity.

Keywords

Applied π-Calculus Unique Decomposition Normal Form Weak Bisimilarity Strong Bisimilarity Factorization Cancellation 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Jannik Dreier
    • 1
  • Cristian Ene
    • 1
  • Pascal Lafourcade
    • 1
  • Yassine Lakhnech
    • 1
  1. 1.Université Grenoble 1, CNRSVerimagFrance

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