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Journal Articles Information and Computation Year : 2012

Floating-point arithmetic in the Coq system

Abstract

The process of proving some mathematical theorems can be greatly reduced by relying on numerically-intensive computations with a certified arithmetic. This article presents a formalization of floating-point arithmetic that makes it possible to efficiently compute inside the proofs of the Coq system. This certified library is a multi-radix and multi-precision implementation free from underflow and overflow. It provides the basic arithmetic operators and a few elementary functions.
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Dates and versions

hal-00797913 , version 1 (07-03-2013)

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Guillaume Melquiond. Floating-point arithmetic in the Coq system. Information and Computation, 2012, 216, pp.14-23. ⟨10.1016/j.ic.2011.09.005⟩. ⟨hal-00797913⟩
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