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Contextual equivalence for higher-order pi-calculus revisited

Alan Jeffrey·Julian Rathke
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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.

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Alan Jeffrey, Julian Rathke. 2005-03-24. Contextual equivalence for higher-order pi-calculus revisited. https://doi.org/10.2168/lmcs-1(1:4)2005

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