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            Teaching Divisibility and Binomials with Coq
        
                            
                                                                                                            Sylvie Boldo
                                                                ,
                                                                                                                                François Clément
                                                                ,
                                                                                                                                David Hamelin
                                                                ,
                                                                                                                                Micaela Mayero
                                                                ,
                                                                                                                                Pierre Rousselin
                                                                                    
                 
                            13th International Workshop on Theorem proving components for Educational software - ThEdu 2024, Julien Narboux; Walther Neuper; Pedro Quaresma, Jul 2024, Nancy, France. pp.124 - 139,  ⟨10.4204/EPTCS.419.8⟩ 
                 Communication dans un congrès
                    
        
        
            
                
                    hal-04725586
                                            v3
                                    
            
        
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            A Coq Formalization of Lebesgue Induction Principle and Tonelli's Theorem
        
                            
                                                                                                            Sylvie Boldo
                                                                ,
                                                                                                                                François Clément
                                                                ,
                                                                                                                                Vincent Martin
                                                                ,
                                                                                                                                Micaela Mayero
                                                                ,
                                                                                                                                Houda Mouhcine
                                                                                    
                 
                            
                 Communication dans un congrès
                    
        
        
            
                
                    hal-03889276
                                            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 
                 Communication dans un congrès
                    
        
        
            
                
                    hal-03233227
                                            v1
                                    
            
        
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            A Correctly-Rounded Fixed-Point-Arithmetic Dot-Product Algorithm
        
                            
                                                                                                            Sylvie Boldo
                                                                ,
                                                                                                                                Diane Gallois-Wong
                                                                ,
                                                                                                                                Thibault Hilaire
                                                                                    
                 
                            
                 Communication dans un congrès
                    
        
        
            
                
                    hal-02982017
                                            v1
                                    
            
        
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            A Coq formalization of digital filters
        
                            
                                                                                                            Diane Gallois-Wong
                                                                ,
                                                                                                                                Sylvie Boldo
                                                                ,
                                                                                                                                Thibault Hilaire
                                                                                    
                 
                            
                 Communication dans un congrès
                    
        
        
            
                
                    hal-01728828
                                            v2
                                    
            
        
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            A Formally-Proved Algorithm to Compute the Correct Average of Decimal Floating-Point Numbers
        
                            
                                                                                                            Sylvie Boldo
                                                                ,
                                                                                                                                Florian Faissole
                                                                ,
                                                                                                                                Vincent Tourneur
                                                                                    
                 
                            25th IEEE Symposium on Computer Arithmetic, Jun 2018, Amherst, MA, United States 
                 Communication dans un congrès
                    
        
        
            
                
                    hal-01772272
                                            v1
                                    
            
        
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            A Coq formal proof of the Lax–Milgram theorem
        
                            
                                                                                                            Sylvie Boldo
                                                                ,
                                                                                                                                François Clément
                                                                ,
                                                                                                                                Florian Faissole
                                                                ,
                                                                                                                                Vincent Martin
                                                                ,
                                                                                                                                Micaela Mayero
                                                                                    
                 
                            
                 Communication dans un congrès
                    
        
        
            
                
                    hal-01391578
                                            v1
                                    
            
        
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            Round-off Error Analysis of Explicit One-Step Numerical Integration Methods
        
                            
                                                                                                            Sylvie Boldo
                                                                ,
                                                                                                                                Florian Faissole
                                                                ,
                                                                                                                                Alexandre Chapoutot
                                                                                    
                 
                            
                 Communication dans un congrès
                    
        
        
            
                
                    hal-01581794
                                            v1
                                    
            
        
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            Preuve formelle du théorème de Lax–Milgram
        
                            
                                                                                                            Sylvie Boldo
                                                                ,
                                                                                                                                François Clément
                                                                ,
                                                                                                                                Florian Faissole
                                                                ,
                                                                                                                                Vincent Martin
                                                                ,
                                                                                                                                Micaela Mayero
                                                                                    
                 
                            16èmes journées Approches Formelles dans l'Assistance au Développement de Logiciels, Jun 2017, Montpellier, France 
                 Communication dans un congrès
                    
        
        
            
                
                    hal-01581807
                                            v1
                                    
            
        
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            Formal Verification of a Floating-Point Expansion Renormalization Algorithm
        
                            
                                                                                                            Sylvie Boldo
                                                                ,
                                                                                                                                Mioara Joldes
                                                                ,
                                                                                                                                Jean-Michel Muller
                                                                ,
                                                                                                                                Valentina Popescu
                                                                                    
                 
                            8th International Conference on Interactive Theorem Proving (ITP'2017), Sep 2017, Brasilia, Brazil 
                 Communication dans un congrès
                    
        
        
            
                
                    hal-01512417
                                            v1
                                    
            
        
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            Iterators: where folds fail
        
                            
                                                                                                            Sylvie Boldo
                                                                                    
                 
                            Workshop on High-Consequence Control Verification, Jul 2016, Toronto, Canada 
                 Communication dans un congrès
                    
        
        
            
                
                    hal-01377155
                                            v1
                                    
            
        
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            Computing a correct and tight rounding error bound using rounding-to-nearest
        
                            
                                                                                                            Sylvie Boldo
                                                                                    
                 
                            9th International Workshop on Numerical Software Verification, Jul 2016, Toronto, Canada 
                 Communication dans un congrès
                    
        
        
            
                
                    hal-01377152
                                            v1
                                    
            
        
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            Stupid is as Stupid Does: Taking the Square Root of the Square of a Floating-Point Number
        
                            
                                                                                                            Sylvie Boldo
                                                                                    
                 
                            Seventh and Eighth International Workshop on Numerical Software Verification, Apr 2015, Seattle, WA, United States. pp.50--55 
                 Communication dans un congrès
                    
        
        
            
                
                    hal-01148409
                                            v1
                                    
            
        
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            Formal Verification of Programs Computing the Floating-Point Average
        
                            
                                                                                                            Sylvie Boldo
                                                                                    
                 
                            17th International Conference on Formal Engineering Methods, Nov 2015, Paris, France. pp.17-32 
                 Communication dans un congrès
                    
        
        
            
                
                    hal-01174892
                                            v1
                                    
            
        
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            Formal verification of tricky numerical computations
        
                            
                                                                                                            Sylvie Boldo
                                                                                    
                 
                            16th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics, Sep 2014, Würzburg, Germany. pp.39 
                 Communication dans un congrès
                    
        
        
            
                
                    hal-01088692
                                            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 
                 Communication dans un congrès
                    
        
        
            
                
                    hal-00743090
                                            v2
                                    
            
        
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            How to Compute the Area of a Triangle: a Formal Revisit
        
                            
                                                                                                            Sylvie Boldo
                                                                                    
                 
                            21st IEEE International Symposium on Computer Arithmetic, Apr 2013, Austin, TX, United States. pp.91-98,  ⟨10.1109/ARITH.2013.29⟩ 
                 Communication dans un congrès
                    
        
        
            
                
                    hal-00790071
                                            v1
                                    
            
        
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            Improving Real Analysis in Coq: a User-Friendly Approach to Integrals and Derivatives
        
                            
                                                                                                            Sylvie Boldo
                                                                ,
                                                                                                                                Catherine Lelay
                                                                ,
                                                                                                                                Guillaume Melquiond
                                                                                    
                 
                            
                 Communication dans un congrès
                    
        
        
            
                
                    hal-00712938
                                            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 
                 Communication dans un congrès
                    
        
        
            
                
                    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⟩ 
                 Communication dans un congrès
                    
        
        
            
                
                    inria-00534854
                                            v2
                                    
            
        
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            Formal verification of numerical programs: from C annotated programs to Coq proofs
        
                            
                                                                                                            Sylvie Boldo
                                                                                    
                 
                            NSV-3: Third International Workshop on Numerical Software Verification, Jul 2010, Edinburgh, Scotland, United Kingdom 
                 Communication dans un congrès
                    
        
        
            
                
                    inria-00534400
                                            v1
                                    
            
        
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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.
                            
                 
                            
                 Communication dans un congrès
                    
        
        
            
                
                    inria-00450789
                                            v3
                                    
            
        
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            Hardware-independent proofs of numerical programs
        
                            
                                                                                                            Sylvie Boldo
                                                                ,
                                                                                                                                Thi Minh Tuyen Nguyen
                                                                                    
                 
                            Second NASA Formal Methods Symposium (NFM 2010), NASA, Apr 2010, Washington D.C., United States. pp.14-23 
                 Communication dans un congrès
                    
        
        
            
                
                    inria-00534410
                                            v1
                                    
            
        
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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⟩ 
                 Communication dans un congrès
                    
        
        
            
                
                    inria-00432726
                                            v1
                                    
            
        
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            Formal proof for delayed finite field arithmetic using floating point operators
        
                            
                                                                                                            Sylvie Boldo
                                                                ,
                                                                                                                                Marc Daumas
                                                                ,
                                                                                                                                Pascal Giorgi
                                                                                    
                 
                            8th Conference on Real Numbers and Computers, Jul 2008, Saint Jacques de Compostelle, Spain. pp.113-122 
                 Communication dans un congrès
                    
        
        
            
                
                    hal-00135090
                                            v3
                                    
            
        
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            Provably Faithful Evaluation of Polynomials
        
                            
                                                                                                            Sylvie Boldo
                                                                ,
                                                                                                                                César Muñoz
                                                                                    
                 
                            21st Annual ACM Symposium on Applied Computing, Apr 2006, Dijon, France 
                 Communication dans un congrès
                    
        
        
            
                
                    inria-00000892
                                            v1
                                    
            
        
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            Some Functions Computable with a Fused-mac
        
                            
                                                                                                            Sylvie Boldo
                                                                ,
                                                                                                                                Jean-Michel Muller
                                                                                    
                 
                            17th IEEE Symposium on Computer Arithmetic, Jun 2005, Cape Cod, Massachusetts, USA, pp.52-58 
                 Communication dans un congrès
                    
        
        
            
                
                    inria-00000895
                                            v1
                                    
            
        
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            When double rounding is odd
        
                            
                                                                                                            Sylvie Boldo
                                                                ,
                                                                                                                                Guillaume Melquiond
                                                                                    
                 
                            17th IMACS World Congress, Jul 2005, Paris, France. pp.11 
                 Communication dans un congrès
                    
        
        
            
                
                    inria-00070603
                                            v2
                                    
            
        
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            Theorems on Efficient Argument Reductions
        
                            
                                                                                                            Ren Cang Li
                                                                ,
                                                                                                                                Sylvie Boldo
                                                                ,
                                                                                                                                Marc Daumas
                                                                                    
                 
                            
                 Communication dans un congrès
                    
        
        
            
                
                    hal-00156244
                                            v1
                                    
            
        
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            Properties of the subtraction valid for any floating point system
        
                            
                                                                                                            Sylvie Boldo
                                                                ,
                                                                                                                                Marc Daumas
                                                                                    
                 
                            7th International Workshop on Formal Methods for Industrial Critical Systems, 2002, Málaga, Spain. pp.137-149 
                 Communication dans un congrès
                    
        
        
            
                
                    inria-00072115
                                            v1
                                    
            
        
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