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A preview of a tutorial on L (polarized μμ-tilde)

Kenji Maillard 1 Étienne Miquey 2, 3 Xavier Montillet 2, 3 Guillaume Munch-Maccagnoni 3, 2 Gabriel Scherer 4
2 GALLINETTE - Gallinette : vers une nouvelle génération d'assistant à la preuve
Inria Rennes – Bretagne Atlantique , LS2N - Laboratoire des Sciences du Numérique de Nantes
4 PARSIFAL - Proof search and reasoning with logic specifications
Inria Saclay - Ile de France, LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]
Abstract : We are working on a new tutorial presentation of L, the polarized version of Curien-Herbelin’s μμ̃ -calculus. The calculus μμ̃ was introduced in Curien and Herbelin [2000] as a good term calculus for classical logic, which in particular reveals a perfect symmetry (in the classical setting) between call-by-value and call-by-name evaluation. Its polarized version, L, restricts the reduction rules according to a type- or polarity-based evaluation order; as Call-By-Push-Value [Levy 1999], it can express and mix both call-by-name and call-by-value terms in the same program, and is an interesting vehicle to study side-effects. We would like to offer a presentation of a fragment of our in-progress tutorial to the HOPE audience, as an act of popularization for newcomers, and as the best way to get feedback on our approach from newcomers and experts alike.
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Contributor : Guillaume Munch-Maccagnoni <>
Submitted on : Thursday, January 24, 2019 - 1:09:48 PM
Last modification on : Wednesday, June 24, 2020 - 4:19:52 PM


  • HAL Id : hal-01992294, version 1


Kenji Maillard, Étienne Miquey, Xavier Montillet, Guillaume Munch-Maccagnoni, Gabriel Scherer. A preview of a tutorial on L (polarized μμ-tilde). HOPE 2018 - 7th ACM SIGPLAN Workshop on Higher-Order Programming with Effects, Sep 2018, St. Louis, United States. ⟨hal-01992294⟩



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