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Structural Rewriting in the pi-Calculus

Author David Sabel

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David Sabel

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David Sabel. Structural Rewriting in the pi-Calculus. In First International Workshop on Rewriting Techniques for Program Transformations and Evaluation. Open Access Series in Informatics (OASIcs), Volume 40, pp. 51-62, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2014)


We consider reduction in the synchronous pi-calculus with replication, without sums. Usual definitions of reduction in the pi-calculus use a closure w.r.t. structural congruence of processes. In this paper we operationalize structural congruence by providing a reduction relation for pi-processes which also performs necessary structural conversions explicitly by rewrite rules. As we show, a subset of structural congruence axioms is sufficient. We show that our rewrite strategy is equivalent to the usual strategy including structural congruence w.r.t.the observation of barbs and thus w.r.t. may- and should-testing equivalence in the pi-calculus.
  • Process calculi
  • Rewriting
  • Semantics


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