Type theory with explicit universe polymorphism
The aim of this paper is to refine and extend proposals by Sozeau and Tabareau and by
Voevodsky for universe polymorphism in type theory. In those systems judgments can …
Voevodsky for universe polymorphism in type theory. In those systems judgments can …
Expressing Ecumenical Systems in the λΠ-Calculus Modulo Theory
E Grienenberger - 28th International Conference on Types for …, 2023 - drops.dagstuhl.de
Abstract Systems in which classical and intuitionistic logics coexist are called ecumenical.
Such a system allows for interoperability and hybridization between classical and …
Such a system allows for interoperability and hybridization between classical and …
Encoding impredicative hierarchy of type universes with variables
Y Géran - arXiv preprint arXiv:2310.16595, 2023 - arxiv.org
Logical frameworks can be used to translate proofs from a proof system to another one. For
this purpose, we should be able to encode the theory of the proof system in the logical …
this purpose, we should be able to encode the theory of the proof system in the logical …
Traduire l'univers des mathématiques en Dedukti, sans univers
A Ledein, E Butte - JFLA 2023-34èmes Journées Francophones …, 2023 - inria.hal.science
Ces dernières années, le nombre d'assistants à la preuve, de prouveurs automatiques et de
vérificateurs de preuve n'a cessé de croître. L'un d'entre eux, le framework logique Dedukti …
vérificateurs de preuve n'a cessé de croître. L'un d'entre eux, le framework logique Dedukti …
[PDF][PDF] Mathématiques inversées de Coq
Y Géran - 2023 - hal.science
La preuve formelle est un domaine important de l'informatique, et de nombreux outils, tels
que les assistants de preuve, permettent de formaliser des raisonnements mathématiques et …
que les assistants de preuve, permettent de formaliser des raisonnements mathématiques et …