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A Generic Library for Floating-Point Numbers and Its Application to Exact Computing

Abstract : In this paper we present a general library to reason about floating-point numbers within the Coq system. Most of the results of the library are proved for an arbitrary floating-point format and an arbitrary base. A special emphasis has been put on proving properties for exact computing, i.e. computing without rounding errors.
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https://hal.archives-ouvertes.fr/hal-00157285
Contributor : Marc Daumas <>
Submitted on : Monday, June 25, 2007 - 4:48:06 PM
Last modification on : Wednesday, January 8, 2020 - 11:04:18 AM
Document(s) archivé(s) le : Thursday, April 8, 2010 - 6:24:26 PM

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  • HAL Id : hal-00157285, version 1

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Marc Daumas, Laurence Rideau, Laurent Thery. A Generic Library for Floating-Point Numbers and Its Application to Exact Computing. Theorem Proving in Higher Order Logics, 2001, Edinburgh, United Kingdom. pp.169-184. ⟨hal-00157285⟩

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