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Sylvie Boldo, Catherine Lelay, and Guillaume Melquiond.
Coquelicot: A user-friendly library of real analysis for Coq.
Mathematics in Computer Science, 9(1):41--62, June 2015.
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[5]
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Sylvie Boldo, Jacques-Henri Jourdan, Xavier Leroy, and Guillaume Melquiond.
Verified Compilation of Floating-Point Computations.
Journal of Automated Reasoning, 54(2):135--163, February 2015.
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François Bobot, Jean-Christophe Filliâtre, Claude Marché, and Andrei
Paskevich.
Let's verify this with Why3.
International Journal on Software Tools for Technology Transfer
(STTT), 17(6):709--727, 2015.
See also
http://toccata.gitlabpages.inria.fr/toccata/gallery/fm2012comp.en.html.
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[3]
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Claude Marché and Johannes Kanig.
Bridging the gap between testing and formal verification in Ada
development.
ERCIM News, 100:38--39, January 2015.
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Pierre Roux.
Formal proofs of rounding error bounds.
Journal of Automated Reasoning, 2015.
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Keywords: floating-point arithmetic ; rounding error ; numerical analysis ; proof assistant ; Coq ; matrices ; Cholesky decomposition
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Érik Martin-Dorel, Guillaume Hanrot, Micaela Mayero, and Laurent Théry.
Formally verified certificate checkers for hardest-to-round
computation.
Journal of Automated Reasoning, 54(1):1--29, 2015.
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Keywords: formal proofs ; certificate checkers ; Hensel's lemma ; modular arithmetic
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Sylvie Boldo.
Formal Verification of Programs Computing the Floating-Point
Average.
In Michael Butler, Sylvain Conchon, and Fatiha Zaïdi, editors,
17th International Conference on Formal Engineering Methods, volume 9407
of Lecture Notes in Computer Science, pages 17--32, Paris, France,
November 2015. Springer.
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.pdf ]
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Umut A. Acar, Arthur Charguéraud, and Mike Rainey.
A Work-Efficient Algorithm for Parallel Unordered Depth-First
Search.
In Proceedings of the International Conference for High
Performance Computing, Networking, Storage and Analysis, Austin, Texas,
United States, November 2015.
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Arthur Charguéraud and François Pottier.
Machine-Checked Verification of the Correctness and Amortized
Complexity of an Efficient Union-Find Implementation.
In 6th International Conference on Interactive Theorem Proving
(ITP), Nanjing, China, August 2015.
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[5]
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Martin Clochard, Jean-Christophe Filliâtre, and Andrei Paskevich.
How to avoid proving the absence of integer overflows.
In Arie Gurfinkel and Sanjit A. Seshia, editors, 7th Working
Conference on Verified Software: Theories, Tools and Experiments (VSTTE),
volume 9593 of Lecture Notes in Computer Science, pages 94--109, San
Francisco, California, USA, July 2015. Springer.
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Keywords: Why3
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[4]
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Catherine Lelay.
How to express convergence for analysis in Coq.
In The 7th Coq Workshop, Sophia Antipolis, France, June 2015.
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Keywords: Coq proof assistant ; Analysis ; Limits ; Filters ; Type-Classes ; Canonical Structures
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[3]
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Sylvie Boldo.
Stupid is as stupid does: Taking the square root of the square of a
floating-point number.
In Sergiy Bogomolov and Matthieu Martel, editors, Proceedings of
the Seventh and Eighth International Workshop on Numerical Software
Verification, volume 317 of Electronic Notes in Theoretical Computer
Science, pages 50--55, Seattle, WA, USA, April 2015.
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Giuseppe Castagna, Kim Nguyen, Zhiwu Xu, and Pietro Abate.
Polymorphic functions with set-theoretic types. part 2: Local type
inference and type reconstruction.
In Proceedings of the 42st ACM SIGPLAN-SIGACT Symposium on
Principles of Programming Languages, Mumbai, India, January 2015. ACM Press.
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Martin Clochard and Léon Gondelman.
Double WP: vers une preuve automatique d'un compilateur.
In Vingt-sixièmes Journées Francophones des Langages
Applicatifs, Val d'Ajol, France, January 2015.
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