Effectful Applicative Bisimilarity: Monads, Relators, and Howe's Method

Ugo Dal Lago 1, 2 Francesco Gavazzo 1, 2 Paul Blain Levy 3
2 FOCUS - Foundations of Component-based Ubiquitous Systems
CRISAM - Inria Sophia Antipolis - Méditerranée , DISI - Dipartimento di Informatica - Scienza e Ingegneria [Bologna]
Abstract : We study Abramsky's applicative bisimilarity abstractly , in the context of call-by-value λ-calculi with algebraic effects. We first of all endow a computational λ-calculus with a monadic operational semantics. We then show how the theory of relators provides precisely what is needed to generalise applicative bisimilarity to such a calculus, and to single out those monads and relators for which applicative bisimilarity is a congruence, thus a sound methodology for program equivalence. This is done by studying Howe's method in the abstract.
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Submitted on : Tuesday, December 5, 2017 - 2:47:13 PM
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Ugo Dal Lago, Francesco Gavazzo, Paul Blain Levy. Effectful Applicative Bisimilarity: Monads, Relators, and Howe's Method. LICS 2017 - ACM/IEEE Symposium on Logic in Computer Science, Jun 2017, Reykjavik, Iceland. pp.1-12, ⟨10.1109/LICS.2017.8005117⟩. ⟨hal-01636365⟩

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