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Erschienen in:
2009 | OriginalPaper | Buchkapitel
Combining Coq and Gappa for Certifying Floating-Point Programs
verfasst von : Sylvie Boldo, Jean-Christophe Filliâtre, Guillaume Melquiond
Erschienen in: Intelligent Computer Mathematics
Verlag: Springer Berlin Heidelberg
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Formal verification of numerical programs is notoriously difficult. On the one hand, there exist automatic tools specialized in floating-point arithmetic, such as Gappa, but they target very restrictive logics. On the other hand, there are interactive theorem provers based on the LCF approach, such as Coq, that handle a general-purpose logic but that lack proof automation for floating-point properties. To alleviate these issues, we have implemented a mechanism for calling Gappa from a Coq interactive proof. This paper presents this combination and shows on several examples how this approach offers a significant speedup in the process of verifying floating-point programs.