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Some Formal Tools for Computer Arithmetic: Flocq and Gappa

Sylvie Boldo 1 Guillaume Melquiond 1
1 TOCCATA - Formally Verified Programs, Certified Tools and Numerical Computations
Inria Saclay - Ile de France, LMF - Laboratoire Méthodes Formelles
Abstract : This invited paper presents two tools developed by the authors. Their purpose is to help the user in writing proofs regarding computer arithmetic, e.g., certifying a bound on a round-off error, while aiming at a high level of guarantee. Flocq is a library of mathematical definitions and theorems for the Coq proof assistant; Gappa is meant to compute bounds of values and errors, while producing the corresponding formal proof. We describe here these tools, how they interact and how they fit in a larger verification process.
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https://hal.inria.fr/hal-03233227
Contributor : Guillaume Melquiond Connect in order to contact the contributor
Submitted on : Monday, May 24, 2021 - 10:59:16 AM
Last modification on : Wednesday, February 9, 2022 - 5:26:06 PM
Long-term archiving on: : Wednesday, August 25, 2021 - 6:04:15 PM

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  • HAL Id : hal-03233227, version 1

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Sylvie Boldo, Guillaume Melquiond. Some Formal Tools for Computer Arithmetic: Flocq and Gappa. ARITH 2021 - 28th IEEE International Symposium on Computer Arithmetic, Jun 2021, Online, Italy. ⟨hal-03233227⟩

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