An output - based semantics of Λ μ with explicit substitution in the π - calculus

نویسندگان

  • Steffen van Bakel
  • Maria Grazia Vigliotti
چکیده

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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تاریخ انتشار 2012