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.
https://hal.inria.fr/hal-01556215 Contributor : Hal IfipConnect in order to contact the contributor Submitted on : Tuesday, July 4, 2017 - 5:45:39 PM Last modification on : Tuesday, January 18, 2022 - 2:26:05 PM Long-term archiving on: : Friday, December 15, 2017 - 1:32:22 AM
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⟩