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
2 VERIMAG - IMAG - VERIMAG
3 LIMOS - Laboratoire d'Informatique, de Modélisation et d'optimisation des Systèmes

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.

Domaines: Cryptographie et sécurité [cs.CR]

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⟩