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Observing Success in the Pi-Calculus

Authors David Sabel, Manfred Schmidt-Schauß



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OASIcs.WPTE.2015.31.pdf
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David Sabel
Manfred Schmidt-Schauß

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David Sabel and Manfred Schmidt-Schauß. Observing Success in the Pi-Calculus. In 2nd International Workshop on Rewriting Techniques for Program Transformations and Evaluation (WPTE 2015). Open Access Series in Informatics (OASIcs), Volume 46, pp. 31-46, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2015)
https://doi.org/10.4230/OASIcs.WPTE.2015.31

Abstract

A contextual semantics - defined in terms of successful termination and may- and should-convergence - is analyzed in the synchronous pi-calculus with replication and a constant Stop to denote success. The contextual ordering is analyzed, some nontrivial process equivalences are proved, and proof tools for showing contextual equivalences are provided. Among them are a context lemma and new notions of sound applicative similarities for may- and should-convergence. A further result is that contextual equivalence in the pi-calculus with Stop conservatively extends barbed testing equivalence in the (Stop-free) pi-calculus and thus results on contextual equivalence can be transferred to the (Stop-free) pi-calculus with barbed testing equivalence.
Keywords
  • Concurrency
  • Process calculi
  • Pi-calculus
  • Rewriting
  • Semantics

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