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Books and Theses
- 2019
[b1]Florian Faissole:
Formalisations d'analyses d'erreurs en analyse numérique et en arithmétique à virgule flottante. (Formalizations of error analysis in numerical analysis and floating-point arithmetic). University of Paris-Saclay, France, 2019
Journal Articles
- 2024
- [j5]Florian Faissole
:
Formally-Verified Round-Off Error Analysis of Runge-Kutta Methods. J. Autom. Reason. 68(1): 1 (2024) - 2022
- [j4]Sylvie Boldo, François Clément, Florian Faissole, Vincent Martin, Micaela Mayero:
A Coq Formalization of Lebesgue Integration of Nonnegative Functions. J. Autom. Reason. 66(2): 175-213 (2022) - [j3]Cláudio Belo Lourenço, Denis Cousineau, Florian Faissole, Claude Marché, David Mentré, Hiroaki Inoue:
Automated formal analysis of temporal properties of Ladder programs. Int. J. Softw. Tools Technol. Transf. 24(6): 977-997 (2022) - 2021
- [j2]Martin E. Bidlingmaier, Florian Faissole, Bas Spitters:
Synthetic topology in Homotopy Type Theory for probabilistic programming. Math. Struct. Comput. Sci. 31(10): 1301-1329 (2021) - 2020
- [j1]Sylvie Boldo, Florian Faissole, Alexandre Chapoutot:
Round-Off Error and Exceptional Behavior Analysis of Explicit Runge-Kutta Methods. IEEE Trans. Computers 69(12): 1745-1756 (2020)
Conference and Workshop Papers
- 2024
- [c8]Florian Faissole, Paul Geneau de Lamarlière, Guillaume Melquiond:
End-To-End Formal Verification of a Fast and Accurate Floating-Point Approximation. ITP 2024: 14:1-14:18 - 2023
- [c7]Paul Geneau de Lamarlière, Guillaume Melquiond, Florian Faissole:
Slimmer Formal Proofs for Mathematical Libraries. ARITH 2023: 32-35 - 2021
- [c6]Cláudio Belo Lourenço, Denis Cousineau, Florian Faissole, Claude Marché, David Mentré, Hiroaki Inoue:
Automated Verification of Temporal Properties of Ladder Programs. FMICS 2021: 21-38 - 2019
- [c5]Florian Faissole, George A. Constantinides, David B. Thomas:
Formalizing Loop-Carried Dependencies in Coq for High-Level Synthesis. FCCM 2019: 315 - 2018
- [c4]Sylvie Boldo, Florian Faissole, Vincent Tourneur:
A Formally-Proved Algorithm to Compute the Correct Average of Decimal Floating-Point Numbers. ARITH 2018: 69-75 - 2017
- [c3]Sylvie Boldo, Florian Faissole, Alexandre Chapoutot:
Round-off Error Analysis of Explicit One-Step Numerical Integration Methods. ARITH 2017: 82-89 - [c2]Sylvie Boldo, François Clément, Florian Faissole, Vincent Martin, Micaela Mayero:
A Coq formal proof of the LaxMilgram theorem. CPP 2017: 79-89 - [c1]Florian Faissole:
Formalization and Closedness of Finite Dimensional Subspaces. SYNASC 2017: 121-128
Informal and Other Publications
- 2021
- [i2]Sylvie Boldo, François Clément, Florian Faissole, Vincent Martin, Micaela Mayero:
A Coq Formalization of Lebesgue Integration of Nonnegative Functions. CoRR abs/2104.05256 (2021) - 2019
- [i1]Martin E. Bidlingmaier, Florian Faissole, Bas Spitters:
Synthetic topology in Homotopy Type Theory for probabilistic programming. CoRR abs/1912.07339 (2019)
Coauthor Index
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