On Unique Decomposition of Processes in the Applied π-Calculus
Résumé
Unique decomposition has been a subject of interest in process algebra for a long time (for example in BPP or CCS), 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 Pi with respect to strong labeled bisimilarity, i.e. such that P ∼ l P1|. .. |Pn. We also prove that closed finite processes can be decomposed uniquely with respect to weak labeled bisimilarity.
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