| IEEE standard for floating-point arithmetic D Zuras, M Cowlishaw, A Aiken, M Applegate, D Bailey, S Bass, ... IEEE Std 754 (2008), 1-70, 2008 | 291 | 2008 |
| Flocq: A unified library for proving floating-point algorithms in Coq S Boldo, G Melquiond 2011 IEEE 20th Symposium on Computer Arithmetic, 243-252, 2011 | 193 | 2011 |
| Coquelicot: A user-friendly library of real analysis for Coq S Boldo, C Lelay, G Melquiond Mathematics in Computer Science 9, 41-62, 2015 | 152 | 2015 |
| Formal verification of floating-point programs S Boldo, JC Filliâtre 18th IEEE Symposium on Computer Arithmetic (ARITH'07), 187-194, 2007 | 131 | 2007 |
| Wave equation numerical resolution: a comprehensive mechanized proof of a C program S Boldo, F Clément, JC Filliâtre, M Mayero, G Melquiond, P Weis Journal of Automated Reasoning 50 (4), 423-456, 2013 | 108 | 2013 |
| Combining Coq and Gappa for certifying floating-point programs S Boldo, JC Filliâtre, G Melquiond International Conference on Intelligent Computer Mathematics, 59-74, 2009 | 103 | 2009 |
| Formalization of real analysis: A survey of proof assistants and libraries S Boldo, C Lelay, G Melquiond Mathematical Structures in Computer Science 26 (7), 1196-1233, 2016 | 76 | 2016 |
| A formally-verified C compiler supporting floating-point arithmetic S Boldo, JH Jourdan, X Leroy, G Melquiond 2013 IEEE 21st Symposium on Computer Arithmetic, 107-115, 2013 | 64 | 2013 |
| Emulation of a FMA and correctly rounded sums: Proved algorithms using rounding to odd S Boldo, G Melquiond IEEE Transactions on Computers 57 (4), 462-471, 2008 | 64 | 2008 |
| Verified compilation of floating-point computations S Boldo, JH Jourdan, X Leroy, G Melquiond Journal of Automated Reasoning 54, 135-163, 2015 | 60 | 2015 |
| Preuves formelles en arithmétiques à virgule flottante S Boldo Lyon, École normale supérieure (sciences), 2004 | 59 | 2004 |
| Computer arithmetic and formal proofs: verifying floating-point algorithms with the Coq system S Boldo, G Melquiond Elsevier, 2017 | 54 | 2017 |
| Trusting computations: a mechanized proof from partial differential equations to actual program S Boldo, F Clément, JC Filliâtre, M Mayero, G Melquiond, P Weis Computers & Mathematics with Applications 68 (3), 325-352, 2014 | 52 | 2014 |
| Formal proof of a wave equation resolution scheme: the method error S Boldo, F Clément, JC Filliâtre, M Mayero, G Melquiond, P Weis Interactive Theorem Proving: First International Conference, ITP 2010 …, 2010 | 51 | 2010 |
| Representable correcting terms for possibly underflowing floating point operations S Boldo, M Daumas Proceedings 2003 16th IEEE Symposium on Computer Arithmetic, 79-86, 2003 | 46 | 2003 |
| Formal verification of numerical programs: from C annotated programs to mechanical proofs S Boldo, C Marché Mathematics in Computer Science 5 (4), 377-393, 2011 | 43 | 2011 |
| Formal proof for delayed finite field arithmetic using floating point operators S Boldo, M Daumas, P Giorgi arXiv preprint cs/0703026, 2007 | 38* | 2007 |
| Theorems on efficient argument reductions RC Li, S Boldo, M Daumas Proceedings 2003 16th IEEE Symposium on Computer Arithmetic, 129-136, 2003 | 38 | 2003 |
| A Coq formal proof of the Lax-Milgram theorem S Boldo, F Clément, F Faissole, V Martin, M Mayero Proceedings of the 6th ACM SIGPLAN Conference on Certified Programs and …, 2017 | 37 | 2017 |
| Hardware-independent proofs of numerical programs S Boldo, TMT Nguyen Second NASA Formal Methods Symposium (NFM 2010), 14-23, 2010 | 36 | 2010 |
Guillaume MelquiondInria, University Paris SaclayVerified email at inria.fr
