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An Output-Based Semantics of Λμ with Explicit Substitution in the π-Calculus
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.
Cited literature [30 references]
https://hal.inria.fr/hal-01556215
Contributor : Hal Ifip <>
Submitted on : Tuesday, July 4, 2017 - 5:45:39 PM
Last modification on : Tuesday, July 4, 2017 - 5:47:02 PM
Long-term archiving on: : Friday, December 15, 2017 - 1:32:22 AM
Contributor : Hal Ifip <>
Submitted on : Tuesday, July 4, 2017 - 5:45:39 PM
Last modification on : Tuesday, July 4, 2017 - 5:47:02 PM
Long-term archiving on: : Friday, December 15, 2017 - 1:32:22 AM
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