Dedukti: a Logical Framework based on the $λ$$Π$-Calculus Modulo Theory
Ali Assaf, Guillaume Burel, Raphaël Cauderlier, David Delahaye, Gilles Dowek, Catherine Dubois, Gilbert, Frédéric, Pierre Halmagrand, Olivier Hermant, Ronan Saillard · arXiv (Cornell University) · 2023
Dedukti is a Logical Framework based on the $λ$$Π$-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.