文章基本信息

标题：On the Representation of References in the Pi-Calculus
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作者：Daniel Hirschkoff ; Enguerrand Prebet ; Davide Sangiorgi 等
期刊名称：LIPIcs : Leibniz International Proceedings in Informatics
电子版ISSN：1868-8969
出版年度：2020
卷号：171
页码：34:1-34:20
DOI：10.4230/LIPIcs.CONCUR.2020.34
出版社：Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
摘要：The Ï-calculus has been advocated as a model to interpret, and give semantics to, languages with higher-order features. Often these languages make use of forms of references (and hence viewing a store as set of references). While translations of references in Ï-calculi (and CCS) have appeared, the precision of such translations has not been fully investigated. In this paper we address this issue. We focus on the asynchronous Ï-calculus (AÏ), where translations of references are simpler. We first define Ï^ref, an extension of AÏ with references and operators to manipulate them, and illustrate examples of the subtleties of behavioural equivalence in Ï^ref. We then consider a translation of Ï^ref into AÏ. References of Ï^ref are mapped onto names of AÏ belonging to a dedicated "reference" type. We show how the presence of reference names affects the definition of barbed congruence. We establish full abstraction of the translation w.r.t. barbed congruence and barbed equivalence in the two calculi. We investigate proof techniques for barbed equivalence in AÏ, based on two forms of labelled bisimilarities. For one bisimilarity we derive both soundness and completeness; for another, more efficient and involving an inductive "game" on reference names, we derive soundness, leaving completeness open. Finally, we discuss examples of uses of the bisimilarities.
关键词：Process calculus; Bisimulation; Asynchrony; Imperative programming