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WhyMP, a Formally Verified Arbitrary-Precision Integer Library

Guillaume Melquiond , Raphaël Rieu-Helft
ISSAC 2020 - 45th International Symposium on Symbolic and Algebraic Computation, Jul 2020, Kalamata, Greece. pp.352-359, ⟨10.1145/3373207.3404029⟩
Conference papers hal-02566654v2
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Some Formal Tools for Computer Arithmetic: Flocq and Gappa

Sylvie Boldo , Guillaume Melquiond
ARITH 2021 - 28th IEEE International Symposium on Computer Arithmetic, Jun 2021, Online, Italy
Conference papers hal-03233227v1
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The Boost Interval Arithmetic Library

Hervé Brönnimann , Guillaume Melquiond , Sylvain Pion
Real Numbers and Computers, 2003, Lyon, France. pp.65-80
Conference papers inria-00348711v1
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Arithmétique des Ordinateurs et Preuves Formelles

Guillaume Melquiond
JFLA 2019 - 30èmes Journées Francophones des Langages Applicatifs, Jan 2019, Les Rousses, France
Conference papers hal-02013540v1
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Formally Verified Approximations of Definite Integrals

Assia Mahboubi , Guillaume Melquiond , Thomas Sibut-Pinote
Interactive Theorem Proving, Aug 2016, Nancy, France. ⟨10.1007/978-3-319-43144-4_17⟩
Conference papers hal-01289616v2
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A Formally-Verified C Compiler Supporting Floating-Point Arithmetic

Sylvie Boldo , Jacques-Henri Jourdan , Xavier Leroy , Guillaume Melquiond
Arith - 21st IEEE Symposium on Computer Arithmetic, Apr 2013, Austin, United States. pp.107-115
Conference papers hal-00743090v2

Numerical Approximation of the Masser-Gramain Constant to Four Decimal Digits: delta=1.819...

Guillaume Melquiond , Werner Georg Nowak , Paul Zimmermann
Mathematics of Computation, 2013, 82, pp.1235-1246. ⟨10.1090/S0025-5718-2012-02635-4⟩
Journal articles hal-00644166v1

Handbook of Floating-Point Arithmetic

Jean-Michel Muller , Nicolas Brisebarre , Florent de Dinechin , Claude-Pierre Jeannerod , Vincent Lefèvre , et al.
Birkhauser Boston, pp.572, 2010
Books ensl-00379167v1
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Plotting in a Formally Verified Way

Guillaume Melquiond
Proceedings of the 6th Workshop on Formal Integrated Development Environment, May 2021, Online, United States. pp.39-45, ⟨10.4204/EPTCS.338.6⟩
Conference papers hal-03168208v2

Proving Tight Bounds on Univariate Expressions with Elementary Functions in Coq (Journées FAC 2016)

Érik Martin-Dorel , Guillaume Melquiond
Journées Formalisation des Activités Concurrentes (FAC 2016), Groupe IFSE du RTRA STAE (Réseau Thématique de Recherche Avancée « Sciences et Technologies pour l’Aéronautique et l’Espace » de Toulouse), Mar 2016, Toulouse, France
Conference papers hal-03176418v1
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Trusting computations: a mechanized proof from partial differential equations to actual program

Sylvie Boldo , François Clément , Jean-Christophe Filliâtre , Micaela Mayero , Guillaume Melquiond , et al.
Computers & Mathematics with Applications, 2014, 68 (3), pp.28. ⟨10.1016/j.camwa.2014.06.004⟩
Journal articles hal-00769201v3
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Formalization of Real Analysis: A Survey of Proof Assistants and Libraries

Sylvie Boldo , Catherine Lelay , Guillaume Melquiond
Mathematical Structures in Computer Science, 2016, 26 (7), pp.1196-1233. ⟨10.1017/S0960129514000437⟩
Journal articles hal-00806920v2
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Slimmer Formal Proofs for Mathematical Libraries

Paul Geneau de Lamarlière , Guillaume Melquiond , Florian Faissole
2023
Preprints, Working Papers, ... hal-04165169v1
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Guaranteed Proofs Using Interval Arithmetic

Marc Daumas , Guillaume Melquiond , César Muñoz
17th IEEE Symposium on Computer Arithmetic, 2005, Cape Cod, Massachusetts, United States. pp.188-195, ⟨10.1109/ARITH.2005.25⟩
Conference papers hal-00164621v1
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Formally Verified Approximations of Definite Integrals

Assia Mahboubi , Guillaume Melquiond , Thomas Sibut-Pinote
Journal of Automated Reasoning, 2019, 62 (2), pp.281-300. ⟨10.1007/s10817-018-9463-7⟩
Journal articles hal-01630143v2

Automations for verifying floating-point algorithms

Guillaume Melquiond
5th Coq Workshop, Jul 2013, Rennes, France
Conference papers hal-01110666v1
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Flocq: A Unified Library for Proving Floating-point Algorithms in Coq

Sylvie Boldo , Guillaume Melquiond
Proceedings of the 20th IEEE Symposium on Computer Arithmetic, Jul 2011, Tübingen, Germany. pp.243-252, ⟨10.1109/ARITH.2011.40⟩
Conference papers inria-00534854v2
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Improving Real Analysis in Coq: a User-Friendly Approach to Integrals and Derivatives

Sylvie Boldo , Catherine Lelay , Guillaume Melquiond
CPP - 2nd International Conference on Certified Programs and Proofs - 2012, Dec 2012, Kyoto, Japan. pp.289-304, ⟨10.1007/978-3-642-35308-6_22⟩
Conference papers hal-00712938v2
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Verified Compilation of Floating-Point Computations

Sylvie Boldo , Jacques-Henri Jourdan , Xavier Leroy , Guillaume Melquiond
Journal of Automated Reasoning, 2015, 54 (2), pp.135-163. ⟨10.1007/s10817-014-9317-x⟩
Journal articles hal-00862689v3
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When double rounding is odd

Sylvie Boldo , Guillaume Melquiond
[Research Report] LIP RR-2004-48, Laboratoire de l'informatique du parallélisme. 2004, 2+7p
Reports hal-02101979v1
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Wave equation numerical resolution: a comprehensive mechanized proof of a C program

Sylvie Boldo , François Clément , Jean-Christophe Filliâtre , Micaela Mayero , Guillaume Melquiond , et al.
Journal of Automated Reasoning, 2013, 50 (4), pp.423-456. ⟨10.1007/s10817-012-9255-4⟩
Journal articles hal-00649240v3
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Formally Certified Floating-Point Filters For Homogeneous Geometric Predicates

Guillaume Melquiond , Sylvain Pion
RAIRO - Theoretical Informatics and Applications (RAIRO: ITA), 2007, 41, pp.57-69. ⟨10.1051/ita:2007005⟩
Journal articles inria-00071232v2
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The design of the Boost interval arithmetic library

Hervé Brönnimann , Guillaume Melquiond , Sylvain Pion
Theoretical Computer Science, 2006, Real Numbers and Computers, 351 (1), pp.111-118. ⟨10.1016/j.tcs.2005.09.062⟩
Journal articles inria-00344412v1

Automating the verification of floating-point algorithms

Guillaume Melquiond
12th International Workshop on Satisfiability Modulo Theories, Jul 2014, Wien, Austria
Conference papers hal-01110669v1
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The Why3 platform 0.81

François Bobot , Jean-Christophe Filliâtre , Claude Marché , Guillaume Melquiond , Andrei Paskevich
2013
Other publications hal-00822856v1
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Certifying the floating-point implementation of an elementary function using Gappa

Florent de Dinechin , Christoph Lauter , Guillaume Melquiond
IEEE Transactions on Computers, 2011, 60 (2), pp.242-253. ⟨10.1109/TC.2010.128⟩
Journal articles ensl-00200830v2
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A Proposal to add Interval Arithmetic to the C++ Standard Library

Hervé Brönnimann , Guillaume Melquiond , Sylvain Pion
[Research Report] RR-5646, INRIA. 2006
Reports inria-00071231v1
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Formal certification of arithmetic filters for geometric predicates

Guillaume Melquiond , Sylvain Pion
17th IMACS World Congress, 2005, Paris, France
Conference papers inria-00344518v1
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How to Get an Efficient yet Verified Arbitrary-Precision Integer Library

Raphaël Rieu-Helft , Claude Marché , Guillaume Melquiond
9th Working Conference on Verified Software: Theories, Tools, and Experiments, Jul 2017, Heidelberg, Germany. pp.84-101, ⟨10.1007/978-3-319-72308-2_6⟩
Conference papers hal-01519732v2
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Floating-point arithmetic in the Coq system

Guillaume Melquiond
8th Conference on Real Numbers and Computers, Jul 2008, Santiago de Compostela, Spain. pp.93-102
Conference papers hal-01780385v1