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Theorem proving support in programming language semantics

Yves Bertot
[Research Report] RR-6242, INRIA. 2007, pp.23
Reports inria-00160309v2
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A combination of a dynamic geometry software with a proof assistant for interactive formal proofs

Tuan Minh Pham , Yves Bertot
9th International Workshop On User Interfaces for Theorem Provers FLOC'10 Satellite Workshop, Jul 2010, Edinburgh, Scotland, United Kingdom
Conference papers inria-00585400v1
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A Machine-Checked Proof of the Odd Order Theorem

Georges Gonthier , Andrea Asperti , Jeremy Avigad , Yves Bertot , Cyril Cohen , et al.
ITP 2013, 4th Conference on Interactive Theorem Proving, Jul 2013, Rennes, France. pp.163-179, ⟨10.1007/978-3-642-39634-2_14⟩
Conference papers hal-00816699v1
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Implementing Proof by Pointing without a Structure Editor

Yves Bertot , Thomas Kleymann-Schreiber , Dilip Sequeira
RR-3286, INRIA. 1997
Reports inria-00073402v1
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Real theorem provers deserve real user-interfaces

Laurent Théry , Yves Bertot , Gilles Kahn
[Research Report] RR-1684, INRIA. 1992
Reports inria-00076907v1
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Affine functions and series with co-inductive real numbers

Yves Bertot
Mathematical Structures in Computer Science, 2006, 17 (1), pp.37-63. ⟨10.1017/S0960129506005809⟩
Journal articles inria-00001171v2
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A Canonical calculus of residuals

Yves Bertot
[Research Report] RR-1542, INRIA. 1991, pp.12
Reports inria-00075020v1
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Programming Language Specifications and Environments

Yves Bertot
[Technical Report] RT-0212, INRIA. 1997, pp.47
Reports inria-00069959v1
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User Guide to the CTCOQ Proof Environment

Janet Bertot , Yves Bertot , Yann Coscoy , Healfdene Goguen , Francis Montagnac
[Technical Report] RT-0210, INRIA. 1997, pp.63
Reports inria-00069961v1
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Vérification formelle d'extractions de racines entières

Yves Bertot
Revue des Sciences et Technologies de l'Information - Série TSI : Technique et Science Informatiques, 2005, Langages Applicatifs, Spécifications, Programmation, Vérification, 24 (9), pp.1161-1195
Journal articles inria-00001172v1
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Mathematics and Proof Presentation in Pcoq

Ahmed Amerkad , Yves Bertot , Loïc Pottier , Laurence Rideau
RR-4313, INRIA. 2001
Reports inria-00072274v1
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Formalizing Convex Hulls Algorithms

David Pichardie , Yves Bertot
TPHOLs 2001 - 14th International Conference Theorem Proving in Higher Order Logics, Sep 2001, Edinburgh, United Kingdom. pp.346-361, ⟨10.1007/3-540-44755-5_24⟩
Conference papers hal-01702679v1
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Links between homotopy theory and type theory

Yves Bertot
CICM - Conference on Intelligent Computer Mathematics, Jul 2014, Coimbra, Portugal
Conference papers hal-00987248v1
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Formal Verification of a Geometry Algorithm: A Quest for Abstract Views and Symmetry in Coq Proofs

Yves Bertot
ICTAC 2018 - International Colloquium on Theoretical of Computing, Oct 2018, Stellenbosch, South Africa
Conference papers hal-01866271v1
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Inductive and Coinductive Components of Corecursive Functions in Coq

Yves Bertot , Ekaterina Komendantskaya
Coalgebraic Methods in Computer Science, Apr 2008, Budapest, Hungary
Conference papers inria-00277075v2
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Changements de représentation des données dans le calcul des constructions inductives

Nicolas Magaud , Yves Bertot
[Rapport de recherche] RR-4039, INRIA. 2000, pp.29
Reports inria-00072599v1
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Reasoning with Executable Specifications

Yves Bertot , Ranan Fraer
RR-2780, INRIA. 1996
Reports inria-00073912v1

Homotopy Type Theory: Univalent Foundations of Mathematics

Peter Aczel , Benedikt Ahrens , Thorsten Altenkirch , Steve Awodey , Bruno Barras , et al.
Aucun, pp.448, 2013
Books hal-00935057v1
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Formal study in Coq of pi computations using arithmetic-geometric means

Yves Bertot
Software hal-01767263v1
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lambda-calcul et types

Yves Bertot
Ecole Jeunes Chercheurs en Programmation (CNRS-INRIA) Toulouse, 2006
Lectures inria-00083975v1
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A structured approach to proving compiler optimizations based on dataflow analysis

Yves Bertot , Benjamin Grégoire , Xavier Leroy
Types for Proofs and Programs, Workshop TYPES 2004, Dec 2004, Jouy-en-Josas, France. pp.66-81, ⟨10.1007/11617990⟩
Conference papers inria-00289549v1
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Calcul de formules affines et de séries entières en arithmétique exacte avec types co-inductifs

Yves Bertot
Journées Francophones des Langages Applicatifs, INRIA, Jan 2006, Pauillac, pp.41-55
Conference papers inria-00000480v1
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A formal study of Bernstein coefficients and polynomials

Yves Bertot , Frédérique Guilhot , Assia Mahboubi
Mathematical Structures in Computer Science, 2011, 21 (04), pp.731-761. ⟨10.1017/S0960129511000090⟩
Journal articles inria-00503017v2
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QArith: Coq Formalisation of Lazy Rational Arithmetic

Milad Niqui , Yves Bertot
[Research Report] RR-5004, INRIA. 2003, pp.19
Reports inria-00077041v1
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Structural abstract interpretation, A formal study using Coq

Yves Bertot
LERNET Summer School, Ana Bove and Jorge Sousa Pinto, Feb 2008, Piriapolis, Uruguay
Conference papers inria-00329572v2

Interactive theorem proving and program development. Coq'Art: The Calculus of inductive constructions.

Pierre Castéran , Yves Bertot
Springer Verlag, pp.470, 2004, Texts in Theoretical Computer Science
Books hal-00344237v1
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Coq in a Hurry

Yves Bertot
3rd cycle. Types Summer School, also used at the University of Goteborg, Nice,
Ecole Jeunes Chercheurs en Programmation,
Universite de Nice, France. 2016, pp.49
Lectures inria-00001173v6
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Views of Pi: definition and computation

Yves Bertot , Guillaume Allais
Journal of Formalized Reasoning, 2014, 7 (1), pp.105-129. ⟨10.6092/issn.1972-5787/4343⟩
Journal articles hal-01074926v1

Formal proof of theorems on genetic regulatory networks

Maxime Dénès , Benjamin Lesage , Yves Bertot , Adrien Richard
SYNASC'09, Sep 2009, Timisoara, Romania
Conference papers inria-00504065v1
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A certified Compiler for an Imperative Language

Yves Bertot
RR-3488, INRIA. 1998
Reports inria-00073199v1