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Bibliographic Details
Main Authors: Biernacka, Małgorzata, Biernacki, Dariusz, Lenglet, Sergueï, Polesiuk, Piotr, Pous, Damien, Schmitt, Alan
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2205.06665
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Table of Contents:
  • We present fully abstract encodings of the call-by-name and call-by-value $λ$-calculus into HOcore, a minimal higher-order process calculus with no name restriction. We consider several equivalences on the $λ$-calculus side -- normal-form bisimilarity, applicative bisimilarity, and contextual equivalence -- that we internalize into abstract machines in order to prove full abstraction of the encodings. We also demonstrate that this technique scales to the $λμ$-calculus, i.e., a standard extension of the $λ$-calculus with control operators.