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On Unique Decomposition of Processes in the Applied π-Calculus

Jannik Dreier 1 Cristian Ene 2 Pascal Lafourcade 3 Yassine Lakhnech 2
1 CASSIS - Combination of approaches to the security of infinite states systems
FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174), Inria Nancy - Grand Est, LORIA - FM - Department of Formal Methods
Abstract : 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 Pi-Calculus: We show that a closed finite process P can be decomposed uniquely into prime factors Pi with respect to weak labeled bisimilarity, i.e. such that P = P1 | ... | Pn . We also prove that closed normed processes (i.e. processes with a finite shortest trace) can be decomposed uniquely with respect to strong labeled bisimilarity.
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Jannik Dreier, Cristian Ene, Pascal Lafourcade, Yassine Lakhnech. On Unique Decomposition of Processes in the Applied π-Calculus. [Technical Report] VERIMAG UMR 5104, Université Grenoble Alpes, France. 2012. ⟨hal-01338012⟩



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