A reduction of the axioms for the theory of prepositional types, Fundamenta Mathematicae, vol.52, issue.3, pp.345-35010, 1963. ,
DOI : 10.4064/fm-52-3-345-350
An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof, 1986. ,
DOI : 10.1007/978-94-015-9934-4
A Calculus of Constructions with explicit subtyping, Types, LIPICS 39, pp.27-46, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01097401
A framework for defining computational higher-order logics, 2015. ,
URL : https://hal.archives-ouvertes.fr/tel-01235303
Dedukti: a Logical Framework based on the lambda-Pi-Calculus Modulo Theory, 2016. ,
Lambda calculi with types, Handbook of Logic in Computer Science, pp.117-309, 1992. ,
DOI : 10.1017/cbo9781139032636
Conception d'un noyau de vérification de preuves pour le lambda-Pi-calcul modulo, 2011. ,
CoqInE : Translating the Calculus of Inductive Constructions into the lambda-Pi-calculus modulo, Second International Workshop on Proof Exchange for Theorem Proving, pp.44-50, 2012. ,
A Rewrite System for Proof Constructivization, Proceedings of the Eleventh Workshop on Logical Frameworks and Meta-Languages: Theory and Practice, LFMTP '16, 2017. ,
DOI : 10.1007/11554554_28
URL : https://hal.archives-ouvertes.fr/hal-01420634
FoCaLiZe and Dedukti to the Rescue for Proof Interoperability, Interactive Theorem Proving, pp.131-14710, 2017. ,
DOI : 10.1007/11916277_11
URL : https://hal.archives-ouvertes.fr/hal-01670700
A formulation of the simple theory of types, The Journal of Symbolic Logic, vol.1, issue.02, pp.56-6810, 1940. ,
DOI : 10.2307/2371199
The Calculus of Constructions. Information and Computation, pp.95-12010, 1988. ,
URL : https://hal.archives-ouvertes.fr/inria-00076024
Embedding Pure Type Systems in the Lambda-Pi-Calculus Modulo, Typed lambda calculi and applications, pp.102-117, 2007. ,
DOI : 10.1007/978-3-540-73228-0_9
On the definition of the classical connectives and quantifiers, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00919437
HOL-lambda-sigma: an intentional first-order expression of higher-order logic, Mathematical Structures in Computer Science, vol.11, pp.1-2510, 2001. ,
URL : https://hal.archives-ouvertes.fr/inria-00098847
Theorem proving modulo, Journal of Automated Reasoning, vol.31, issue.1, pp.33-72, 2003. ,
DOI : 10.1023/A:1027357912519
URL : https://hal.archives-ouvertes.fr/hal-01199506
Abstract, The Journal of Symbolic Logic, vol.87, issue.04, pp.1289-131610, 2003. ,
DOI : 10.1007/BFb0037116
Systems of second-order arithmetic with restricted induction, I, II, The Journal of Symbolic Logic, vol.41, issue.2, pp.557-559, 1976. ,
Logics and Type systems, 1993. ,
The Calculus of Constructions and Higher Order Logic, The Curry-Howard isomorphism, Cahiers du Centre de logique 8, pp.139-191, 1995. ,
Automated Constructivization of Proofs, Foundations of Software Science and Computation Structures, Lecture notes in computer science 10203, pp.480-495, 2017. ,
DOI : 10.1007/s10817-009-9143-8
URL : https://hal.archives-ouvertes.fr/hal-01516788
On the unity of logic, Annals of Pure and Applied Logic, vol.59, issue.3, pp.201-21710, 1993. ,
DOI : 10.1016/0168-0072(93)90093-S
URL : https://hal.archives-ouvertes.fr/inria-00075095
A framework for defining logics, Journal of the ACM, vol.40, issue.1, pp.143-184, 1993. ,
DOI : 10.1145/138027.138060
On Mathematical Induction, The American Mathematical Monthly, vol.67, issue.4, pp.323-33810, 1960. ,
DOI : 10.2307/2308975
A theory of prepositional types, Fundamenta Mathematicae, vol.52, issue.3, pp.323-344, 1963. ,
DOI : 10.4064/fm-52-3-323-344
Lifting and Transfer: A Modular Design for Quotients in Isabelle/HOL, Certified Programs and Proofs, pp.131-146, 2013. ,
DOI : 10.1007/978-3-319-03545-1_9
The OpenTheory Standard Theory Library, NASA Formal Methods, pp.177-191, 2011. ,
DOI : 10.1007/3-540-60275-5_76
URL : http://www.gilith.com/research/papers/stdlib.pdf
A Finite First-Order Theory of Classes, Types for Proofs and Programs, pp.188-202, 2006. ,
DOI : 10.1007/978-3-540-74464-1_13
On proof mining by cut-elimination, All about Proofs, Proofs for All, pp.173-200, 2015. ,
Martin-Löf's type theory, Handbook of Logic in Computer Science, pp.1-37, 2000. ,
Classical versus intuitionistic logic Why is this a Proof?, 2015. ,
Type Checking in the Lambda-Pi-Calculus Modulo: Theory and Practice, 2015. ,
Subsystems of second-order arithmetic, pp.10-1017, 2009. ,
Sharing Arithmetic Proofs from Dedukti to HOL, 2017. ,
Automatic and Transparent Transfer of Theorems along Isomorphisms in the Coq Proof Assistant. Work in progress session, Conference on Intelligent Computer Mathematics, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01152588