Fully abstract encodings of λ-calculus in HOcore through abstract machines

Małgorzata Biernacka, Dariusz Biernacki, Sergueï Lenglet, Piotr Polesiuk, Damien Pous, Alan Schmitt · 2017

We present fully abstract encodings of the call-by-name 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.

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