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Linearity, persistence and testing semantics in the asynchronous pi-calculus. (English) Zbl 1277.68167
Amadio, Roberto (ed.) et al., Proceedings of the 14th international workshop on expressiveness in concurrency (EXPRESS 2007), Lisbon, Portugal, September 3, 2007. Amsterdam: Elsevier. Electronic Notes in Theoretical Computer Science 194, No. 2, 59-84 (2008).
Summary: In [“On the expressiveness of linearity vs persistence in the asynchronous pi calculus”, in: Proceedings of the 21st annual IEEE symposium on logic in computer science, LICS’2006. Los Alamitos: IEEE Press. 59–68 (2006)], C. Palamidessi et al. studied the expressiveness of persistence in the asynchronous \(\pi\)-calculus (A\(\pi\)) w.r.t weak barbed congruence. The study is incomplete because it ignores the issue of divergence. In this paper, we present an expressiveness study of persistence in the asynchronous \(\pi\)-calculus (A\(\pi\)) w.r.t De Nicola and Hennessy’s testing scenario which is sensitive to divergence. Following [loc. cit.], we consider A\(\pi\) and three sub-languages of it, each capturing one source of persistence: the persistent-input calculus (PIA\(\pi\)), the persistent-output calculus (POA\(\pi\)) and persistent calculus (PA\(\pi\)). In [loc. cit.], Palamidessi et al. showed encodings from A\(\pi\) into the semi-persistent calculi (i.e., POA\(\pi\) and PIA\(\pi\)) correct w.r.t weak barbed congruence. In this paper we prove that, under some general conditions, there cannot be an encoding from A\(\pi\) into a (semi)-persistent calculus preserving the must testing semantics.
For the entire collection see [Zbl 1276.68007].

MSC:
68Q85 Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.)
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