λμ -Calculus and Duality: Call-by-Name and Call-by-Value
Identifieur interne : 006160 ( Main/Exploration ); précédent : 006159; suivant : 006161λμ -Calculus and Duality: Call-by-Name and Call-by-Value
Auteurs : Jérôme Rocheteau [France]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: Under the extension of Curry-Howard’s correspondence to classical logic, Gentzen’s NK and LK systems can be seen as syntax-directed systems of simple types respectively for Parigot’s λμ-calculus and Curien-Herbelin’s $\bar\lambda\mu\tilde\mu$ -calculus. We aim at showing their computational equivalence. We define translations between these calculi. We prove simulation theorems for an undirected evaluation as well as for call-by-name and call-by-value evaluations.
Url:
DOI: 10.1007/978-3-540-32033-3_16
Affiliations:
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<front><div type="abstract" xml:lang="en">Abstract: Under the extension of Curry-Howard’s correspondence to classical logic, Gentzen’s NK and LK systems can be seen as syntax-directed systems of simple types respectively for Parigot’s λμ-calculus and Curien-Herbelin’s $\bar\lambda\mu\tilde\mu$ -calculus. We aim at showing their computational equivalence. We define translations between these calculi. We prove simulation theorems for an undirected evaluation as well as for call-by-name and call-by-value evaluations.</div>
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