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A Safe Low-level Language for Computer Algebra and its Formally Verified Compiler
Guillaume Melquiond
,
Josué Moreau
29th ACM SIGPLAN International Conference on Functional Programming, Sep 2024, Milan, Italy. pp.121-146, ⟨10.1145/3674629⟩
Conference papers
hal-04485670
v2
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End-to-End Formal Verification of a Fast and Accurate Floating-Point Approximation
Florian Faissole
,
Paul Geneau de Lamarlière
,
Guillaume Melquiond
Conference papers
hal-04515714
v3
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Turning the Coq Proof Assistant into a Pocket Calculator
Guillaume Melquiond
Coq 2024 - 15th Coq Workshop, Sep 2024, Tbilisi, Georgia
Conference papers
hal-04702129
v1
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Slimmer Formal Proofs for Mathematical Libraries
Paul Geneau de Lamarlière
,
Guillaume Melquiond
,
Florian Faissole
Conference papers
hal-04165169
v1
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Manifest Termination
Assia Mahboubi
,
Guillaume Melquiond
TYPES 2023 - 29th International Conference on Types for Proofs and Programs, Jun 2023, Valencia, Spain. pp.1-3
Conference papers
hal-04172297
v1
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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-03168208
v2
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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-03233227
v1
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A strong call-by-need calculus
Thibaut Balabonski
,
Antoine Lanco
,
Guillaume Melquiond
FSCD 2021 - 6th International Conference on Formal Structures for Computation and Deduction, Jul 2021, Buenos Aires, Argentina. pp.1-22, ⟨10.4230/LIPIcs.FSCD.2021.9⟩
Conference papers
hal-03149692
v2
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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-02566654
v2
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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-02013540
v1
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Formal Verification of a State-of-the-Art Integer Square Root
Guillaume Melquiond
,
Raphaël Rieu-Helft
Conference papers
hal-02092970
v1
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A Why3 Framework for Reflection Proofs and its Application to GMP's Algorithms
Guillaume Melquiond
,
Raphaël Rieu-Helft
Conference papers
hal-01699754
v2
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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-01519732
v2
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A Three-tier Strategy for Reasoning about Floating-Point Numbers in SMT
Sylvain Conchon
,
Mohamed Iguernelala
,
Kailiang Ji
,
Guillaume Melquiond
,
Clément Fumex
Conference papers
hal-01522770
v1
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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-03176418
v1
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Formally Verified Approximations of Definite Integrals
Assia Mahboubi
,
Guillaume Melquiond
,
Thomas Sibut-Pinote
Conference papers
hal-01289616
v2
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CoqInterval: A Toolbox for Proving Non-linear Univariate Inequalities in Coq
Érik Martin-Dorel
,
Guillaume Melquiond
MAP 2016 conference on Effective Analysis: Foundations, Implementations, Certification, Jan 2016, Marseille, France
Conference papers
hal-03155045
v1
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Automating the verification of floating-point algorithms
Guillaume Melquiond
12th International Workshop on Satisfiability Modulo Theories, Jul 2014, Wien, Austria
Conference papers
hal-01110669
v1
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Automations for verifying floating-point algorithms
Guillaume Melquiond
5th Coq Workshop, Jul 2013, Rennes, France
Conference papers
hal-01110666
v1
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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-00743090
v2
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Inductive Verification of Hybrid Automata with Strongest Postcondition Calculus
Daisuke Ishii
,
Guillaume Melquiond
,
Shin Nakajima
Conference papers
hal-00806701
v1
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Preserving User Proofs Across Specification Changes
François Bobot
,
Jean-Christophe Filliâtre
,
Claude Marché
,
Guillaume Melquiond
,
Andrei Paskevich
Fifth Working Conference on Verified Software: Theories, Tools and Experiments, May 2013, Atherton, United States. pp.191-201
Conference papers
hal-00875395
v1
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Improving Real Analysis in Coq: a User-Friendly Approach to Integrals and Derivatives
Sylvie Boldo
,
Catherine Lelay
,
Guillaume Melquiond
Conference papers
hal-00712938
v2
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A Simplex-Based Extension of Fourier-Motzkin for Solving Linear Integer Arithmetic
François Bobot
,
Sylvain Conchon
,
Evelyne Contejean
,
Mohamed Iguernelala
,
Assia Mahboubi
et al.
Conference papers
hal-00687640
v2
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Built-in Treatment of an Axiomatic Floating-Point Theory for SMT Solvers
Sylvain Conchon
,
Guillaume Melquiond
,
Cody Roux
,
Mohamed Iguernelala
10th International Workshop on Satisfiability Modulo Theories, Jun 2012, Manchester, United Kingdom. pp.12-21
Conference papers
hal-01785166
v1
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Différentiabilité et intégrabilité en Coq. Application à la formule de d'Alembert
Catherine Lelay
,
Guillaume Melquiond
JFLA - Journées Francophone des Langages Applicatifs - 2012, Feb 2012, Carnac, France
Conference papers
hal-00642206
v2
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Arithmétique des ordinateurs et preuves formelles
Sylvie Boldo
,
Guillaume Melquiond
École des Jeunes Chercheurs en Informatique Mathématique, GDR Informatique Mathématique, Mar 2012, Rennes, France. pp.1-30
Conference papers
hal-00755333
v1
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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-00534854
v2
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Formal proof of a wave equation resolution scheme: the method error
Sylvie Boldo
,
François Clément
,
Jean-Christophe Filliâtre
,
Micaela Mayero
,
Guillaume Melquiond
et al.
Conference papers
inria-00450789
v3
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Combining Coq and Gappa for Certifying Floating-Point Programs
Sylvie Boldo
,
Jean-Christophe Filliâtre
,
Guillaume Melquiond
16th Symposium on the Integration of Symbolic Computation and Mechanised Reasoning, Jul 2009, Grand Bend, Ontario, Canada. pp.59-74, ⟨10.1007/978-3-642-02614-0_10⟩
Conference papers
inria-00432726
v1
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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-01780385
v1
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Proving bounds on real-valued functions with computations
Guillaume Melquiond
Conference papers
hal-00180138
v1
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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-00164621
v1
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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-00344518
v1
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Generating formally certified bounds on values and round-off errors
Marc Daumas
,
Guillaume Melquiond
Real Numbers and Computers, 2004, Dagstuhl, Germany. pp.55-70
Conference papers
inria-00070739
v1
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When double rounding is odd
Sylvie Boldo
,
Guillaume Melquiond
17th IMACS World Congress, Jul 2005, Paris, France. pp.11
Conference papers
inria-00070603
v2
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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-00348711
v1
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