An Output-Based Semantics of Λμ with Explicit Substitution in the π-Calculus - Theoretical Computer Science Access content directly
Conference Papers Year : 2012

An Output-Based Semantics of Λμ with Explicit Substitution in the π-Calculus

Steffen Van Bakel
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Maria Grazia Vigliotti
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Abstract

We study the Λμ-calculus, extended with explicit substitution, and define a compositional output-based translation into a variant of the π-calculus with pairing. We show that this translation preserves single-step explicit head reduction with respect to contextual equivalence. We use this result to show operational soundness for head reduction, adequacy, and operational completeness. Using a notion of implicative type-context assignment for the π-calculus, we also show that assignable types are preserved by the translation. We finish by showing that termination is preserved.
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hal-01556215 , version 1 (04-07-2017)

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Steffen Van Bakel, Maria Grazia Vigliotti. An Output-Based Semantics of Λμ with Explicit Substitution in the π-Calculus. 7th International Conference on Theoretical Computer Science (TCS), Sep 2012, Amsterdam, Netherlands. pp.372-387, ⟨10.1007/978-3-642-33475-7_26⟩. ⟨hal-01556215⟩
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