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69 Results
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WhyMP, a Formally Verified Arbitrary-Precision Integer LibraryISSAC 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 GappaARITH 2021 - 28th IEEE International Symposium on Computer Arithmetic, Jun 2021, Online, Italy
Conference papers
hal-03233227v1
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The Boost Interval Arithmetic LibraryReal Numbers and Computers, 2003, Lyon, France. pp.65-80
Conference papers
inria-00348711v1
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Arithmétique des Ordinateurs et Preuves FormellesJFLA 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 IntegralsInteractive 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 ArithmeticArith - 21st IEEE Symposium on Computer Arithmetic, Apr 2013, Austin, United States. pp.107-115
Conference papers
hal-00743090v2
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Numerical Approximation of the Masser-Gramain Constant to Four Decimal Digits: delta=1.819...Mathematics of Computation, 2013, 82, pp.1235-1246. ⟨10.1090/S0025-5718-2012-02635-4⟩
Journal articles
hal-00644166v1
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Handbook of Floating-Point ArithmeticBirkhauser Boston, pp.572, 2010
Books
ensl-00379167v1
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Plotting in a Formally Verified WayProceedings 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
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Proving Tight Bounds on Univariate Expressions with Elementary Functions in Coq (Journées FAC 2016)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 programComputers & 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 LibrariesMathematical 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 Libraries2023
Preprints, Working Papers, ...
hal-04165169v1
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Guaranteed Proofs Using Interval Arithmetic17th 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 IntegralsJournal of Automated Reasoning, 2019, 62 (2), pp.281-300. ⟨10.1007/s10817-018-9463-7⟩
Journal articles
hal-01630143v2
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Automations for verifying floating-point algorithms5th Coq Workshop, Jul 2013, Rennes, France
Conference papers
hal-01110666v1
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Flocq: A Unified Library for Proving Floating-point Algorithms in CoqProceedings 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 DerivativesCPP - 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 ComputationsJournal 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[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 programJournal 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 PredicatesRAIRO - 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 libraryTheoretical Computer Science, 2006, Real Numbers and Computers, 351 (1), pp.111-118. ⟨10.1016/j.tcs.2005.09.062⟩
Journal articles
inria-00344412v1
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Automating the verification of floating-point algorithms12th International Workshop on Satisfiability Modulo Theories, Jul 2014, Wien, Austria
Conference papers
hal-01110669v1
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The Why3 platform 0.812013
Other publications
hal-00822856v1
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Certifying the floating-point implementation of an elementary function using GappaIEEE 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[Research Report] RR-5646, INRIA. 2006
Reports
inria-00071231v1
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Formal certification of arithmetic filters for geometric predicates17th IMACS World Congress, 2005, Paris, France
Conference papers
inria-00344518v1
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How to Get an Efficient yet Verified Arbitrary-Precision Integer Library9th 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 system8th Conference on Real Numbers and Computers, Jul 2008, Santiago de Compostela, Spain. pp.93-102
Conference papers
hal-01780385v1
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