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arXiv · 1904.06845

The Bang Calculus and the Two Girard's Translations

Giulio Guerrieri·Giulio Manzonetto
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Abstract

We study the two Girard's translations of intuitionistic implication into linear logic by exploiting the bang calculus, a paradigmatic functional language with an explicit box-operator that allows both call-by-name and call-by-value lambda-calculi to be encoded in. We investigate how the bang calculus subsumes both call-by-name and call-by-value lambda-calculi from a syntactic and a semantic viewpoint.

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Giulio Guerrieri, Giulio Manzonetto. 2019-04-15. The Bang Calculus and the Two Girard's Translations. https://doi.org/10.4204/eptcs.292.2

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