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arXiv · 2311.07185

Dedukti: a Logical Framework based on the $\lambda$$\Pi$-Calculus Modulo Theory

Ali Assaf·Guillaume Burel·Raphaël Cauderlier·David Delahaye·Gilles Dowek·Catherine Dubois·Frédéric Gilbert·Pierre Halmagrand·Olivier Hermant·Ronan Saillard
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Abstract

Dedukti is a Logical Framework based on the $\lambda$$\Pi$-Calculus Modulo Theory. We show that many theories can be expressed in Dedukti: constructive and classical predicate logic, Simple type theory, programming languages, Pure type systems, the Calculus of inductive constructions with universes, etc. and that permits to used it to check large libraries of proofs developed in other proof systems: Zenon, iProver, FoCaLiZe, HOL Light, and Matita.

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Ali Assaf, Guillaume Burel, Raphaël Cauderlier, David Delahaye, Gilles Dowek, Catherine Dubois, Frédéric Gilbert, Pierre Halmagrand, Olivier Hermant, Ronan Saillard. 2023-11-13. Dedukti: a Logical Framework based on the $\lambda$$\Pi$-Calculus Modulo Theory. https://arxiv.org/abs/2311.07185

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