A certificate-based approach to formally verified approximations
Résumé
We present a library to verify rigorous approximations of univariate functions on real numbers, with
the Coq proof assistant. Based on interval arithmetic, this library also implements a technique of
validation a posteriori based on the Banach fixed-point theorem. We illustrate this technique on
the case of operations of division and square root. This library features a collection of abstract
structures that organise the specfication of rigorous approximations, and modularise the related
proofs. Finally, we provide an implementation of verified Chebyshev approximations, and we discuss
a few examples of computations.
| Origine | Fichiers produits par l'(les) auteur(s) |
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