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arXiv · 1409.3314

A fully-abstract semantics of lambda-mu in the pi-calculus

Steffen van Bakel·Maria Grazia Vigliotti
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Abstract

We study the lambda-mu-calculus, extended with explicit substitution, and define a compositional output-based interpretation into a variant of the pi-calculus with pairing that preserves single-step explicit head reduction with respect to weak bisimilarity. We define four notions of weak equivalence for lambda-mu -- one based on weak reduction, two modelling weak head-reduction and weak explicit head reduction (all considering terms without weak head-normal form equivalent as well), and one based on weak approximation -- and show they all coincide. We will then show full abstraction results for our interpretation for the weak equivalences with respect to weak bisimilarity on processes.

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Steffen van Bakel, Maria Grazia Vigliotti. 2014-09-11. A fully-abstract semantics of lambda-mu in the pi-calculus. https://doi.org/10.4204/eptcs.164.3

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