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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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##### References:
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