BibTeX records: Guillaume Melquiond

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@article{DBLP:journals/actanum/BoldoJMM23,
  author       = {Sylvie Boldo and
                  Claude{-}Pierre Jeannerod and
                  Guillaume Melquiond and
                  Jean{-}Michel Muller},
  title        = {Floating-point arithmetic},
  journal      = {Acta Numer.},
  volume       = {32},
  pages        = {203--290},
  year         = {2023},
  url          = {https://doi.org/10.1017/S0962492922000101},
  doi          = {10.1017/S0962492922000101},
  timestamp    = {Fri, 02 Jun 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/actanum/BoldoJMM23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jar/MartinDorelMR23,
  author       = {{\'{E}}rik Martin{-}Dorel and
                  Guillaume Melquiond and
                  Pierre Roux},
  title        = {Enabling Floating-Point Arithmetic in the Coq Proof Assistant},
  journal      = {J. Autom. Reason.},
  volume       = {67},
  number       = {4},
  pages        = {33},
  year         = {2023},
  url          = {https://doi.org/10.1007/s10817-023-09679-x},
  doi          = {10.1007/S10817-023-09679-X},
  timestamp    = {Fri, 20 Oct 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jar/MartinDorelMR23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jsc/MelquiondR23,
  author       = {Guillaume Melquiond and
                  Rapha{\"{e}}l Rieu{-}Helft},
  title        = {WhyMP, a formally verified arbitrary-precision integer library},
  journal      = {J. Symb. Comput.},
  volume       = {115},
  pages        = {74--95},
  year         = {2023},
  url          = {https://doi.org/10.1016/j.jsc.2022.07.007},
  doi          = {10.1016/J.JSC.2022.07.007},
  timestamp    = {Tue, 21 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/jsc/MelquiondR23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/lmcs/BalabonskiLM23,
  author       = {Thibaut Balabonski and
                  Antoine Lanco and
                  Guillaume Melquiond},
  title        = {A strong call-by-need calculus},
  journal      = {Log. Methods Comput. Sci.},
  volume       = {19},
  number       = {1},
  year         = {2023},
  url          = {https://doi.org/10.46298/lmcs-19(1:21)2023},
  doi          = {10.46298/LMCS-19(1:21)2023},
  timestamp    = {Wed, 29 Mar 2023 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/lmcs/BalabonskiLM23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/arith/LamarliereMF23,
  author       = {Paul Geneau de Lamarli{\`{e}}re and
                  Guillaume Melquiond and
                  Florian Faissole},
  title        = {Slimmer Formal Proofs for Mathematical Libraries},
  booktitle    = {30th {IEEE} Symposium on Computer Arithmetic, {ARITH} 2023, Portland,
                  OR, USA, September 4-6, 2023},
  pages        = {32--35},
  publisher    = {{IEEE}},
  year         = {2023},
  url          = {https://doi.org/10.1109/ARITH58626.2023.00026},
  doi          = {10.1109/ARITH58626.2023.00026},
  timestamp    = {Mon, 08 Apr 2024 20:48:38 +0200},
  biburl       = {https://dblp.org/rec/conf/arith/LamarliereMF23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/arith/BoldoM21,
  author       = {Sylvie Boldo and
                  Guillaume Melquiond},
  title        = {Some Formal Tools for Computer Arithmetic: Flocq and Gappa},
  booktitle    = {28th {IEEE} Symposium on Computer Arithmetic, {ARITH} 2021, Lyngby,
                  Denmark, June 14-16, 2021},
  pages        = {111--114},
  publisher    = {{IEEE}},
  year         = {2021},
  url          = {https://doi.org/10.1109/ARITH51176.2021.00031},
  doi          = {10.1109/ARITH51176.2021.00031},
  timestamp    = {Tue, 21 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/arith/BoldoM21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/fscd/BalabonskiLM21,
  author       = {Thibaut Balabonski and
                  Antoine Lanco and
                  Guillaume Melquiond},
  editor       = {Naoki Kobayashi},
  title        = {A Strong Call-By-Need Calculus},
  booktitle    = {6th International Conference on Formal Structures for Computation
                  and Deduction, {FSCD} 2021, July 17-24, 2021, Buenos Aires, Argentina
                  (Virtual Conference)},
  series       = {LIPIcs},
  volume       = {195},
  pages        = {9:1--9:22},
  publisher    = {Schloss Dagstuhl - Leibniz-Zentrum f{\"{u}}r Informatik},
  year         = {2021},
  url          = {https://doi.org/10.4230/LIPIcs.FSCD.2021.9},
  doi          = {10.4230/LIPICS.FSCD.2021.9},
  timestamp    = {Tue, 21 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/fscd/BalabonskiLM21.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:journals/corr/abs-2108-03974,
  author       = {Guillaume Melquiond},
  editor       = {Jos{\'{e}} Proen{\c{c}}a and
                  Andrei Paskevich},
  title        = {Plotting in a Formally Verified Way},
  booktitle    = {Proceedings of the 6th Workshop on Formal Integrated Development Environment,
                  F-IDE@NFM 2021, Held online, 24-25th May 2021},
  series       = {{EPTCS}},
  volume       = {338},
  pages        = {39--45},
  year         = {2021},
  url          = {https://doi.org/10.4204/EPTCS.338.6},
  doi          = {10.4204/EPTCS.338.6},
  timestamp    = {Tue, 21 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2108-03974.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2111-01485,
  author       = {Thibaut Balabonski and
                  Antoine Lanco and
                  Guillaume Melquiond},
  title        = {A strong call-by-need calculus},
  journal      = {CoRR},
  volume       = {abs/2111.01485},
  year         = {2021},
  url          = {https://arxiv.org/abs/2111.01485},
  eprinttype    = {arXiv},
  eprint       = {2111.01485},
  timestamp    = {Fri, 05 Nov 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/corr/abs-2111-01485.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/issac/MelquiondR20,
  author       = {Guillaume Melquiond and
                  Rapha{\"{e}}l Rieu{-}Helft},
  editor       = {Ioannis Z. Emiris and
                  Lihong Zhi},
  title        = {WhyMP, a formally verified arbitrary-precision integer library},
  booktitle    = {{ISSAC} '20: International Symposium on Symbolic and Algebraic Computation,
                  Kalamata, Greece, July 20-23, 2020},
  pages        = {352--359},
  publisher    = {{ACM}},
  year         = {2020},
  url          = {https://doi.org/10.1145/3373207.3404029},
  doi          = {10.1145/3373207.3404029},
  timestamp    = {Tue, 21 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/issac/MelquiondR20.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@book{DBLP:books/hal/Melquiond19,
  author       = {Guillaume Melquiond},
  title        = {Formal Verification for Numerical Computations, and the Other Way
                  Around},
  year         = {2019},
  url          = {https://tel.archives-ouvertes.fr/tel-02194683},
  timestamp    = {Tue, 06 Aug 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/books/hal/Melquiond19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jar/MahboubiMS19,
  author       = {Assia Mahboubi and
                  Guillaume Melquiond and
                  Thomas Sibut{-}Pinote},
  title        = {Formally Verified Approximations of Definite Integrals},
  journal      = {J. Autom. Reason.},
  volume       = {62},
  number       = {2},
  pages        = {281--300},
  year         = {2019},
  url          = {https://doi.org/10.1007/s10817-018-9463-7},
  doi          = {10.1007/S10817-018-9463-7},
  timestamp    = {Wed, 02 Sep 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jar/MahboubiMS19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/arith/MelquiondR19,
  author       = {Guillaume Melquiond and
                  Rapha{\"{e}}l Rieu{-}Helft},
  editor       = {Naofumi Takagi and
                  Sylvie Boldo and
                  Martin Langhammer},
  title        = {Formal Verification of a State-of-the-Art Integer Square Root},
  booktitle    = {26th {IEEE} Symposium on Computer Arithmetic, {ARITH} 2019, Kyoto,
                  Japan, June 10-12, 2019},
  pages        = {183--186},
  publisher    = {{IEEE}},
  year         = {2019},
  url          = {https://doi.org/10.1109/ARITH.2019.00041},
  doi          = {10.1109/ARITH.2019.00041},
  timestamp    = {Tue, 21 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/arith/MelquiondR19.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@book{DBLP:books/sp/18/MBDJ2018,
  author       = {Jean{-}Michel Muller and
                  Nicolas Brunie and
                  Florent de Dinechin and
                  Claude{-}Pierre Jeannerod and
                  Mioara Joldes and
                  Vincent Lef{\`{e}}vre and
                  Guillaume Melquiond and
                  Nathalie Revol and
                  Serge Torres},
  title        = {Handbook of Floating-Point Arithmetic (2nd Ed.)},
  publisher    = {Springer},
  year         = {2018},
  url          = {https://doi.org/10.1007/978-3-319-76526-6},
  doi          = {10.1007/978-3-319-76526-6},
  isbn         = {978-3-319-76525-9},
  timestamp    = {Thu, 14 Oct 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/books/sp/18/MBDJ2018.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cade/MelquiondR18,
  author       = {Guillaume Melquiond and
                  Rapha{\"{e}}l Rieu{-}Helft},
  editor       = {Didier Galmiche and
                  Stephan Schulz and
                  Roberto Sebastiani},
  title        = {A Why3 Framework for Reflection Proofs and Its Application to GMP's
                  Algorithms},
  booktitle    = {Automated Reasoning - 9th International Joint Conference, {IJCAR}
                  2018, Held as Part of the Federated Logic Conference, FloC 2018, Oxford,
                  UK, July 14-17, 2018, Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {10900},
  pages        = {178--193},
  publisher    = {Springer},
  year         = {2018},
  url          = {https://doi.org/10.1007/978-3-319-94205-6\_13},
  doi          = {10.1007/978-3-319-94205-6\_13},
  timestamp    = {Mon, 28 Aug 2023 21:17:45 +0200},
  biburl       = {https://dblp.org/rec/conf/cade/MelquiondR18.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@book{DBLP:books/daglib/0041425,
  author       = {Sylvie Boldo and
                  Guillaume Melquiond},
  title        = {Computer Arithmetic and Formal Proofs - Verifying Floating-point Algorithms
                  with the Coq System},
  publisher    = {{ISTE} Press},
  year         = {2017},
  url          = {https://www.elsevier.com/books/computer-arithmetic-and-formal-proofs/boldo/978-1-78548-112-3},
  isbn         = {978-1-7854-8112-3},
  timestamp    = {Fri, 28 Jun 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/books/daglib/0041425.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cav/ConchonIJMF17,
  author       = {Sylvain Conchon and
                  Mohamed Iguernelala and
                  Kailiang Ji and
                  Guillaume Melquiond and
                  Cl{\'{e}}ment Fumex},
  editor       = {Rupak Majumdar and
                  Viktor Kuncak},
  title        = {A Three-Tier Strategy for Reasoning About Floating-Point Numbers in
                  {SMT}},
  booktitle    = {Computer Aided Verification - 29th International Conference, {CAV}
                  2017, Heidelberg, Germany, July 24-28, 2017, Proceedings, Part {II}},
  series       = {Lecture Notes in Computer Science},
  volume       = {10427},
  pages        = {419--435},
  publisher    = {Springer},
  year         = {2017},
  url          = {https://doi.org/10.1007/978-3-319-63390-9\_22},
  doi          = {10.1007/978-3-319-63390-9\_22},
  timestamp    = {Sat, 19 Oct 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/cav/ConchonIJMF17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/vstte/Rieu-HelftMM17,
  author       = {Rapha{\"{e}}l Rieu{-}Helft and
                  Claude March{\'{e}} and
                  Guillaume Melquiond},
  editor       = {Andrei Paskevich and
                  Thomas Wies},
  title        = {How to Get an Efficient yet Verified Arbitrary-Precision Integer Library},
  booktitle    = {Verified Software. Theories, Tools, and Experiments - 9th International
                  Conference, {VSTTE} 2017, Heidelberg, Germany, July 22-23, 2017, Revised
                  Selected Papers},
  series       = {Lecture Notes in Computer Science},
  volume       = {10712},
  pages        = {84--101},
  publisher    = {Springer},
  year         = {2017},
  url          = {https://doi.org/10.1007/978-3-319-72308-2\_6},
  doi          = {10.1007/978-3-319-72308-2\_6},
  timestamp    = {Sun, 25 Jul 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/vstte/Rieu-HelftMM17.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jar/Martin-DorelM16,
  author       = {{\'{E}}rik Martin{-}Dorel and
                  Guillaume Melquiond},
  title        = {Proving Tight Bounds on Univariate Expressions with Elementary Functions
                  in Coq},
  journal      = {J. Autom. Reason.},
  volume       = {57},
  number       = {3},
  pages        = {187--217},
  year         = {2016},
  url          = {https://doi.org/10.1007/s10817-015-9350-4},
  doi          = {10.1007/S10817-015-9350-4},
  timestamp    = {Wed, 02 Sep 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jar/Martin-DorelM16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mscs/BoldoLM16,
  author       = {Sylvie Boldo and
                  Catherine Lelay and
                  Guillaume Melquiond},
  title        = {Formalization of real analysis: a survey of proof assistants and libraries},
  journal      = {Math. Struct. Comput. Sci.},
  volume       = {26},
  number       = {7},
  pages        = {1196--1233},
  year         = {2016},
  url          = {https://doi.org/10.1017/S0960129514000437},
  doi          = {10.1017/S0960129514000437},
  timestamp    = {Wed, 01 Apr 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/mscs/BoldoLM16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/itp/MahboubiMS16,
  author       = {Assia Mahboubi and
                  Guillaume Melquiond and
                  Thomas Sibut{-}Pinote},
  editor       = {Jasmin Christian Blanchette and
                  Stephan Merz},
  title        = {Formally Verified Approximations of Definite Integrals},
  booktitle    = {Interactive Theorem Proving - 7th International Conference, {ITP}
                  2016, Nancy, France, August 22-25, 2016, Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {9807},
  pages        = {274--289},
  publisher    = {Springer},
  year         = {2016},
  url          = {https://doi.org/10.1007/978-3-319-43144-4\_17},
  doi          = {10.1007/978-3-319-43144-4\_17},
  timestamp    = {Sat, 19 Oct 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/itp/MahboubiMS16.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jar/BoldoJLM15,
  author       = {Sylvie Boldo and
                  Jacques{-}Henri Jourdan and
                  Xavier Leroy and
                  Guillaume Melquiond},
  title        = {Verified Compilation of Floating-Point Computations},
  journal      = {J. Autom. Reason.},
  volume       = {54},
  number       = {2},
  pages        = {135--163},
  year         = {2015},
  url          = {https://doi.org/10.1007/s10817-014-9317-x},
  doi          = {10.1007/S10817-014-9317-X},
  timestamp    = {Sun, 02 Oct 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jar/BoldoJLM15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mics/BoldoLM15,
  author       = {Sylvie Boldo and
                  Catherine Lelay and
                  Guillaume Melquiond},
  title        = {Coquelicot: {A} User-Friendly Library of Real Analysis for Coq},
  journal      = {Math. Comput. Sci.},
  volume       = {9},
  number       = {1},
  pages        = {41--62},
  year         = {2015},
  url          = {https://doi.org/10.1007/s11786-014-0181-1},
  doi          = {10.1007/S11786-014-0181-1},
  timestamp    = {Wed, 12 Aug 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/mics/BoldoLM15.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/BoldoCFMMW14,
  author       = {Sylvie Boldo and
                  Fran{\c{c}}ois Cl{\'{e}}ment and
                  Jean{-}Christophe Filli{\^{a}}tre and
                  Micaela Mayero and
                  Guillaume Melquiond and
                  Pierre Weis},
  title        = {Trusting computations: {A} mechanized proof from partial differential
                  equations to actual program},
  journal      = {Comput. Math. Appl.},
  volume       = {68},
  number       = {3},
  pages        = {325--352},
  year         = {2014},
  url          = {https://doi.org/10.1016/j.camwa.2014.06.004},
  doi          = {10.1016/J.CAMWA.2014.06.004},
  timestamp    = {Thu, 11 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/cma/BoldoCFMMW14.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/smt/Melquiond14,
  author       = {Guillaume Melquiond},
  editor       = {Philipp R{\"{u}}mmer and
                  Christoph M. Wintersteiger},
  title        = {Automating the Verification of Floating-Point Algorithms},
  booktitle    = {Proceedings of the 12th International Workshop on Satisfiability Modulo
                  Theories, {SMT} 2014, affiliated with the 26th International Conference
                  on Computer Aided Verification {(CAV} 2014), the 7th International
                  Joint Conference on Automated Reasoning {(IJCAR} 2014), and the 17th
                  International Conference on Theory and Applications of Satisfiability
                  Testing {(SAT} 2014), Vienna, Austria, July 17-18, 2014},
  series       = {{CEUR} Workshop Proceedings},
  volume       = {1163},
  pages        = {63},
  publisher    = {CEUR-WS.org},
  year         = {2014},
  url          = {https://ceur-ws.org/Vol-1163/paper-09.pdf},
  timestamp    = {Fri, 10 Mar 2023 16:22:48 +0100},
  biburl       = {https://dblp.org/rec/conf/smt/Melquiond14.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jar/BoldoCFMMW13,
  author       = {Sylvie Boldo and
                  Fran{\c{c}}ois Cl{\'{e}}ment and
                  Jean{-}Christophe Filli{\^{a}}tre and
                  Micaela Mayero and
                  Guillaume Melquiond and
                  Pierre Weis},
  title        = {Wave Equation Numerical Resolution: {A} Comprehensive Mechanized Proof
                  of a {C} Program},
  journal      = {J. Autom. Reason.},
  volume       = {50},
  number       = {4},
  pages        = {423--456},
  year         = {2013},
  url          = {https://doi.org/10.1007/s10817-012-9255-4},
  doi          = {10.1007/S10817-012-9255-4},
  timestamp    = {Wed, 02 Sep 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/jar/BoldoCFMMW13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/MelquiondNZ13,
  author       = {Guillaume Melquiond and
                  W. Georg Nowak and
                  Paul Zimmermann},
  title        = {Numerical approximation of The Masser-Gramain constant to four decimal
                  digits: {\(\delta\)} = 1.819...},
  journal      = {Math. Comput.},
  volume       = {82},
  number       = {282},
  pages        = {1235--1246},
  year         = {2013},
  url          = {https://doi.org/10.1090/S0025-5718-2012-02635-4},
  doi          = {10.1090/S0025-5718-2012-02635-4},
  timestamp    = {Wed, 17 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/moc/MelquiondNZ13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/arith/BoldoJLM13,
  author       = {Sylvie Boldo and
                  Jacques{-}Henri Jourdan and
                  Xavier Leroy and
                  Guillaume Melquiond},
  editor       = {Alberto Nannarelli and
                  Peter{-}Michael Seidel and
                  Ping Tak Peter Tang},
  title        = {A Formally-Verified {C} Compiler Supporting Floating-Point Arithmetic},
  booktitle    = {21st {IEEE} Symposium on Computer Arithmetic, {ARITH} 2013, Austin,
                  TX, USA, April 7-10, 2013},
  pages        = {107--115},
  publisher    = {{IEEE} Computer Society},
  year         = {2013},
  url          = {https://doi.org/10.1109/ARITH.2013.30},
  doi          = {10.1109/ARITH.2013.30},
  timestamp    = {Thu, 23 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/arith/BoldoJLM13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ifm/IshiiMN13,
  author       = {Daisuke Ishii and
                  Guillaume Melquiond and
                  Shin Nakajima},
  editor       = {Einar Broch Johnsen and
                  Luigia Petre},
  title        = {Inductive Verification of Hybrid Automata with Strongest Postcondition
                  Calculus},
  booktitle    = {Integrated Formal Methods, 10th International Conference, {IFM} 2013,
                  Turku, Finland, June 10-14, 2013. Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {7940},
  pages        = {139--153},
  publisher    = {Springer},
  year         = {2013},
  url          = {https://doi.org/10.1007/978-3-642-38613-8\_10},
  doi          = {10.1007/978-3-642-38613-8\_10},
  timestamp    = {Sat, 19 Oct 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/ifm/IshiiMN13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/vstte/BobotFMMP13,
  author       = {Fran{\c{c}}ois Bobot and
                  Jean{-}Christophe Filli{\^{a}}tre and
                  Claude March{\'{e}} and
                  Guillaume Melquiond and
                  Andrei Paskevich},
  editor       = {Ernie Cohen and
                  Andrey Rybalchenko},
  title        = {Preserving User Proofs across Specification Changes},
  booktitle    = {Verified Software: Theories, Tools, Experiments - 5th International
                  Conference, {VSTTE} 2013, Menlo Park, CA, USA, May 17-19, 2013, Revised
                  Selected Papers},
  series       = {Lecture Notes in Computer Science},
  volume       = {8164},
  pages        = {191--201},
  publisher    = {Springer},
  year         = {2013},
  url          = {https://doi.org/10.1007/978-3-642-54108-7\_10},
  doi          = {10.1007/978-3-642-54108-7\_10},
  timestamp    = {Tue, 14 May 2019 10:00:49 +0200},
  biburl       = {https://dblp.org/rec/conf/vstte/BobotFMMP13.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/iandc/Melquiond12,
  author       = {Guillaume Melquiond},
  title        = {Floating-point arithmetic in the Coq system},
  journal      = {Inf. Comput.},
  volume       = {216},
  pages        = {14--23},
  year         = {2012},
  url          = {https://doi.org/10.1016/j.ic.2011.09.005},
  doi          = {10.1016/J.IC.2011.09.005},
  timestamp    = {Fri, 12 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/iandc/Melquiond12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cade/ConchonMRI12,
  author       = {Sylvain Conchon and
                  Guillaume Melquiond and
                  Cody Roux and
                  Mohamed Iguernelala},
  editor       = {Pascal Fontaine and
                  Amit Goel},
  title        = {Built-in Treatment of an Axiomatic Floating-Point Theory for {SMT}
                  Solvers},
  booktitle    = {10th International Workshop on Satisfiability Modulo Theories, {SMT}
                  2012, Manchester, UK, June 30 - July 1, 2012},
  series       = {EPiC Series in Computing},
  volume       = {20},
  pages        = {12--21},
  publisher    = {EasyChair},
  year         = {2012},
  url          = {https://doi.org/10.29007/wh99},
  doi          = {10.29007/WH99},
  timestamp    = {Sun, 15 Aug 2021 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/cade/ConchonMRI12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cade/BobotCCIMMM12,
  author       = {Fran{\c{c}}ois Bobot and
                  Sylvain Conchon and
                  Evelyne Contejean and
                  Mohamed Iguernelala and
                  Assia Mahboubi and
                  Alain Mebsout and
                  Guillaume Melquiond},
  editor       = {Bernhard Gramlich and
                  Dale Miller and
                  Uli Sattler},
  title        = {A Simplex-Based Extension of Fourier-Motzkin for Solving Linear Integer
                  Arithmetic},
  booktitle    = {Automated Reasoning - 6th International Joint Conference, {IJCAR}
                  2012, Manchester, UK, June 26-29, 2012. Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {7364},
  pages        = {67--81},
  publisher    = {Springer},
  year         = {2012},
  url          = {https://doi.org/10.1007/978-3-642-31365-3\_8},
  doi          = {10.1007/978-3-642-31365-3\_8},
  timestamp    = {Sat, 19 Oct 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/cade/BobotCCIMMM12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cpp/BoldoLM12,
  author       = {Sylvie Boldo and
                  Catherine Lelay and
                  Guillaume Melquiond},
  editor       = {Chris Hawblitzel and
                  Dale Miller},
  title        = {Improving Real Analysis in Coq: {A} User-Friendly Approach to Integrals
                  and Derivatives},
  booktitle    = {Certified Programs and Proofs - Second International Conference, {CPP}
                  2012, Kyoto, Japan, December 13-15, 2012. Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {7679},
  pages        = {289--304},
  publisher    = {Springer},
  year         = {2012},
  url          = {https://doi.org/10.1007/978-3-642-35308-6\_22},
  doi          = {10.1007/978-3-642-35308-6\_22},
  timestamp    = {Wed, 07 Dec 2022 23:14:04 +0100},
  biburl       = {https://dblp.org/rec/conf/cpp/BoldoLM12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/BoldoCFMMW12,
  author       = {Sylvie Boldo and
                  Fran{\c{c}}ois Cl{\'{e}}ment and
                  Jean{-}Christophe Filli{\^{a}}tre and
                  Micaela Mayero and
                  Guillaume Melquiond and
                  Pierre Weis},
  title        = {Trusting Computations: a Mechanized Proof from Partial Differential
                  Equations to Actual Program},
  journal      = {CoRR},
  volume       = {abs/1212.6641},
  year         = {2012},
  url          = {http://arxiv.org/abs/1212.6641},
  eprinttype    = {arXiv},
  eprint       = {1212.6641},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/BoldoCFMMW12.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tc/DinechinLM11,
  author       = {Florent de Dinechin and
                  Christoph Quirin Lauter and
                  Guillaume Melquiond},
  title        = {Certifying the Floating-Point Implementation of an Elementary Function
                  Using Gappa},
  journal      = {{IEEE} Trans. Computers},
  volume       = {60},
  number       = {2},
  pages        = {242--253},
  year         = {2011},
  url          = {https://doi.org/10.1109/TC.2010.128},
  doi          = {10.1109/TC.2010.128},
  timestamp    = {Sat, 19 Oct 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tc/DinechinLM11.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/arith/BoldoM10,
  author       = {Sylvie Boldo and
                  Guillaume Melquiond},
  editor       = {Elisardo Antelo and
                  David Hough and
                  Paolo Ienne},
  title        = {Flocq: {A} Unified Library for Proving Floating-Point Algorithms in
                  Coq},
  booktitle    = {20th {IEEE} Symposium on Computer Arithmetic, {ARITH} 2011, T{\"{u}}bingen,
                  Germany, 25-27 July 2011},
  pages        = {243--252},
  publisher    = {{IEEE} Computer Society},
  year         = {2011},
  url          = {https://doi.org/10.1109/ARITH.2011.40},
  doi          = {10.1109/ARITH.2011.40},
  timestamp    = {Thu, 23 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/arith/BoldoM10.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1112-1795,
  author       = {Sylvie Boldo and
                  Fran{\c{c}}ois Cl{\'{e}}ment and
                  Jean{-}Christophe Filli{\^{a}}tre and
                  Micaela Mayero and
                  Guillaume Melquiond and
                  Pierre Weis},
  title        = {Wave Equation Numerical Resolution: Mathematics and Program},
  journal      = {CoRR},
  volume       = {abs/1112.1795},
  year         = {2011},
  url          = {http://arxiv.org/abs/1112.1795},
  eprinttype    = {arXiv},
  eprint       = {1112.1795},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1112-1795.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@book{DBLP:books/daglib/0027236,
  author       = {Jean{-}Michel Muller and
                  Nicolas Brisebarre and
                  Florent de Dinechin and
                  Claude{-}Pierre Jeannerod and
                  Vincent Lef{\`{e}}vre and
                  Guillaume Melquiond and
                  Nathalie Revol and
                  Damien Stehl{\'{e}} and
                  Serge Torres},
  title        = {Handbook of Floating-Point Arithmetic},
  publisher    = {Birkh{\"{a}}user},
  year         = {2010},
  url          = {https://doi.org/10.1007/978-0-8176-4705-6},
  doi          = {10.1007/978-0-8176-4705-6},
  isbn         = {978-0-8176-4704-9},
  timestamp    = {Wed, 14 Nov 2018 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/books/daglib/0027236.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/toms/DaumasM10,
  author       = {Marc Daumas and
                  Guillaume Melquiond},
  title        = {Certification of bounds on expressions involving rounded operators},
  journal      = {{ACM} Trans. Math. Softw.},
  volume       = {37},
  number       = {1},
  pages        = {2:1--2:20},
  year         = {2010},
  url          = {https://doi.org/10.1145/1644001.1644003},
  doi          = {10.1145/1644001.1644003},
  timestamp    = {Tue, 16 Aug 2022 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/toms/DaumasM10.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/itp/BoldoCFMMW10,
  author       = {Sylvie Boldo and
                  Fran{\c{c}}ois Cl{\'{e}}ment and
                  Jean{-}Christophe Filli{\^{a}}tre and
                  Micaela Mayero and
                  Guillaume Melquiond and
                  Pierre Weis},
  editor       = {Matt Kaufmann and
                  Lawrence C. Paulson},
  title        = {Formal Proof of a Wave Equation Resolution Scheme: The Method Error},
  booktitle    = {Interactive Theorem Proving, First International Conference, {ITP}
                  2010, Edinburgh, UK, July 11-14, 2010. Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {6172},
  pages        = {147--162},
  publisher    = {Springer},
  year         = {2010},
  url          = {https://doi.org/10.1007/978-3-642-14052-5\_12},
  doi          = {10.1007/978-3-642-14052-5\_12},
  timestamp    = {Sat, 19 Oct 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/itp/BoldoCFMMW10.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1005-0824,
  author       = {Sylvie Boldo and
                  Fran{\c{c}}ois Cl{\'{e}}ment and
                  Jean{-}Christophe Filli{\^{a}}tre and
                  Micaela Mayero and
                  Guillaume Melquiond and
                  Pierre Weis},
  title        = {Formal Proof of a Wave Equation Resolution Scheme: the Method Error},
  journal      = {CoRR},
  volume       = {abs/1005.0824},
  year         = {2010},
  url          = {http://arxiv.org/abs/1005.0824},
  eprinttype    = {arXiv},
  eprint       = {1005.0824},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-1005-0824.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/arith/EdmonsonM09,
  author       = {William W. Edmonson and
                  Guillaume Melquiond},
  editor       = {Javier D. Bruguera and
                  Marius Cornea and
                  Debjit Das Sarma and
                  John Harrison},
  title        = {{IEEE} Interval Standard Working Group - {P1788:} Current Status},
  booktitle    = {19th {IEEE} Symposium on Computer Arithmetic, {ARITH} 2009, Portland,
                  Oregon, USA, 9-10 June 2009},
  pages        = {231--234},
  publisher    = {{IEEE} Computer Society},
  year         = {2009},
  url          = {https://doi.org/10.1109/ARITH.2009.36},
  doi          = {10.1109/ARITH.2009.36},
  timestamp    = {Thu, 23 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/arith/EdmonsonM09.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/mkm/BoldoFM09,
  author       = {Sylvie Boldo and
                  Jean{-}Christophe Filli{\^{a}}tre and
                  Guillaume Melquiond},
  editor       = {Jacques Carette and
                  Lucas Dixon and
                  Claudio Sacerdoti Coen and
                  Stephen M. Watt},
  title        = {Combining Coq and Gappa for Certifying Floating-Point Programs},
  booktitle    = {Intelligent Computer Mathematics, 16th Symposium, Calculemus 2009,
                  8th International Conference, {MKM} 2009, Held as Part of {CICM} 2009,
                  Grand Bend, Canada, July 6-12, 2009. Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {5625},
  pages        = {59--74},
  publisher    = {Springer},
  year         = {2009},
  url          = {https://doi.org/10.1007/978-3-642-02614-0\_10},
  doi          = {10.1007/978-3-642-02614-0\_10},
  timestamp    = {Sat, 19 Oct 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/mkm/BoldoFM09.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tc/BoldoM08,
  author       = {Sylvie Boldo and
                  Guillaume Melquiond},
  title        = {Emulation of a {FMA} and Correctly Rounded Sums: Proved Algorithms
                  Using Rounding to Odd},
  journal      = {{IEEE} Trans. Computers},
  volume       = {57},
  number       = {4},
  pages        = {462--471},
  year         = {2008},
  url          = {https://doi.org/10.1109/TC.2007.70819},
  doi          = {10.1109/TC.2007.70819},
  timestamp    = {Sat, 19 Oct 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/tc/BoldoM08.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/cade/Melquiond08,
  author       = {Guillaume Melquiond},
  editor       = {Alessandro Armando and
                  Peter Baumgartner and
                  Gilles Dowek},
  title        = {Proving Bounds on Real-Valued Functions with Computations},
  booktitle    = {Automated Reasoning, 4th International Joint Conference, {IJCAR} 2008,
                  Sydney, Australia, August 12-15, 2008, Proceedings},
  series       = {Lecture Notes in Computer Science},
  volume       = {5195},
  pages        = {2--17},
  publisher    = {Springer},
  year         = {2008},
  url          = {https://doi.org/10.1007/978-3-540-71070-7\_2},
  doi          = {10.1007/978-3-540-71070-7\_2},
  timestamp    = {Sat, 19 Oct 2019 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/conf/cade/Melquiond08.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-0801-0523,
  author       = {Florent de Dinechin and
                  Christoph Quirin Lauter and
                  Guillaume Melquiond},
  title        = {Certifying floating-point implementations using Gappa},
  journal      = {CoRR},
  volume       = {abs/0801.0523},
  year         = {2008},
  url          = {http://arxiv.org/abs/0801.0523},
  eprinttype    = {arXiv},
  eprint       = {0801.0523},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-0801-0523.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ita/MelquiondP07,
  author       = {Guillaume Melquiond and
                  Sylvain Pion},
  title        = {Formally certified floating-point filters for homogeneous geometric
                  predicates},
  journal      = {{RAIRO} Theor. Informatics Appl.},
  volume       = {41},
  number       = {1},
  pages        = {57--69},
  year         = {2007},
  url          = {https://doi.org/10.1051/ita:2007005},
  doi          = {10.1051/ITA:2007005},
  timestamp    = {Mon, 25 May 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/ita/MelquiondP07.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-cs-0701186,
  author       = {Marc Daumas and
                  Guillaume Melquiond},
  title        = {Certification of bounds on expressions involving rounded operators},
  journal      = {CoRR},
  volume       = {abs/cs/0701186},
  year         = {2007},
  url          = {http://arxiv.org/abs/cs/0701186},
  eprinttype    = {arXiv},
  eprint       = {cs/0701186},
  timestamp    = {Mon, 13 Aug 2018 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/journals/corr/abs-cs-0701186.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@phdthesis{DBLP:phd/hal/Melquiond06,
  author       = {Guillaume Melquiond},
  title        = {De l'arithm{\'{e}}tique d'intervalles {\`{a}} la certification
                  de programmes. (From interval arithmetic to program verification)},
  school       = {{\'{E}}cole normale sup{\'{e}}rieure de Lyon, France},
  year         = {2006},
  url          = {https://tel.archives-ouvertes.fr/tel-01094485},
  timestamp    = {Tue, 21 Jul 2020 01:00:00 +0200},
  biburl       = {https://dblp.org/rec/phd/hal/Melquiond06.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcs/BronnimannMP06,
  author       = {Herv{\'{e}} Br{\"{o}}nnimann and
                  Guillaume Melquiond and
                  Sylvain Pion},
  title        = {The design of the Boost interval arithmetic library},
  journal      = {Theor. Comput. Sci.},
  volume       = {351},
  number       = {1},
  pages        = {111--118},
  year         = {2006},
  url          = {https://doi.org/10.1016/j.tcs.2005.09.062},
  doi          = {10.1016/J.TCS.2005.09.062},
  timestamp    = {Wed, 17 Feb 2021 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/journals/tcs/BronnimannMP06.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/sac/DinechinLM06,
  author       = {Florent de Dinechin and
                  Christoph Quirin Lauter and
                  Guillaume Melquiond},
  editor       = {Hisham Haddad},
  title        = {Assisted verification of elementary functions using Gappa},
  booktitle    = {Proceedings of the 2006 {ACM} Symposium on Applied Computing (SAC),
                  Dijon, France, April 23-27, 2006},
  pages        = {1318--1322},
  publisher    = {{ACM}},
  year         = {2006},
  url          = {https://doi.org/10.1145/1141277.1141584},
  doi          = {10.1145/1141277.1141584},
  timestamp    = {Tue, 06 Nov 2018 11:06:49 +0100},
  biburl       = {https://dblp.org/rec/conf/sac/DinechinLM06.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/dagstuhl/PionBM06,
  author       = {Sylvain Pion and
                  Herv{\'{e}} Br{\"{o}}nnimann and
                  Guillaume Melquiond},
  editor       = {Peter Hertling and
                  Christoph M. Hoffmann and
                  Wolfram Luther and
                  Nathalie Revol},
  title        = {A Proposal to add Interval Arithmetic to the {C++} Standard Library},
  booktitle    = {Reliable Implementation of Real Number Algorithms: Theory and Practice,
                  08.01. - 13.01.2006},
  series       = {Dagstuhl Seminar Proceedings},
  volume       = {06021},
  publisher    = {Internationales Begegnungs- und Forschungszentrum fuer Informatik
                  (IBFI), Schloss Dagstuhl, Germany},
  year         = {2006},
  url          = {http://drops.dagstuhl.de/opus/volltexte/2006/718},
  timestamp    = {Thu, 10 Jun 2021 13:02:09 +0200},
  biburl       = {https://dblp.org/rec/conf/dagstuhl/PionBM06.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/arith/DaumasMM05,
  author       = {Marc Daumas and
                  Guillaume Melquiond and
                  C{\'{e}}sar A. Mu{\~{n}}oz},
  title        = {Guaranteed Proofs Using Interval Arithmetic},
  booktitle    = {17th {IEEE} Symposium on Computer Arithmetic {(ARITH-17} 2005), 27-29
                  June 2005, Cape Cod, MA, {USA}},
  pages        = {188--195},
  publisher    = {{IEEE} Computer Society},
  year         = {2005},
  url          = {https://doi.org/10.1109/ARITH.2005.25},
  doi          = {10.1109/ARITH.2005.25},
  timestamp    = {Thu, 23 Mar 2023 00:00:00 +0100},
  biburl       = {https://dblp.org/rec/conf/arith/DaumasMM05.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}
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