Contextual equivalence for higher-order pi-calculus revisited

Abstract

The higher-order pi-calculus is an extension of the pi-calculus to allow communication of abstractions of processes rather than names alone. It has been studied intensively by Sangiorgi in his thesis where a characterisation of a contextual equivalence for higher-order pi-calculus is provided using labelled transition systems and normal bisimulations. Unfortunately the proof technique used there requires a restriction of the language to only allow finite types. We revisit this calculus and offer an alternative presentation of the labelled transition system and a novel proof technique which allows us to provide a fully abstract characterisation of contextual equivalence using labelled transitions and bisimulations for higher-order pi-calculus with recursive types also.

@TechReport\{jeffrey.rathke:contextual-equivalence, author = \{A. Jeffrey and J. Rathke}, title = \{Contextual equivalence for higher-order pi-calculus revisited}, institution = \{{COGS},University of Sussex}, year = \{2002}, number = \{2002:04}, url = \{http://mikado.di.fc.ul.pt/repository/jeffrey.rathke_contextual-equivalence.pdf} }

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