Fully Abstract Encodings of $\lambda$-Calculus in HOcore through Abstract Machines

Autor: Małgorzata Biernacka, Dariusz Biernacki, Sergueï Lenglet, Piotr Polesiuk, Damien Pous, Alan Schmitt
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Logical Methods in Computer Science, Vol Volume 20, Issue 3 (2024)
Druh dokumentu: article
ISSN: 1860-5974
DOI: 10.46298/lmcs-20(3:3)2024
Popis: We present fully abstract encodings of the call-by-name and call-by-value $\lambda$-calculus into HOcore, a minimal higher-order process calculus with no name restriction. We consider several equivalences on the $\lambda$-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 $\lambda\mu$-calculus, i.e., a standard extension of the $\lambda$-calculus with control operators.
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