A Generic and Executable Formalization of Signature-Based Gröbner Basis Algorithms

We present a generic and executable formalization of signature-based algorithms (such as Faugère's \(F_5\)) for computing Gr\"obner bases, as well as their mathematical background, in the Isabelle/HOL proof assistant. Said algorithms are currently the best known algorithms for computing Gr...

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Bibliographic Details
Published in:arXiv.org
Main Author: Maletzky, Alexander
Format: Paper
Language:English
Published: Ithaca Cornell University Library, arXiv.org 03.12.2020
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ISSN:2331-8422
Online Access:Get full text
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