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A new efficient algorithm for computing Gröbner bases without reduction to zero

Jean-Charles Faugère 1
1 SPACES - Solving problems through algebraic computation and efficient software
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : Goal of F5 Computing Gröbner bases of $(f_1,\ldots,f_m)$: Buchberger algorithm or F4 Open issue: remove useless computations. 90% of the time is spent in computing zero --> a more powerful criterion to remove useless critical pairs. Goal of F5: theoretical and practical answer.
keyword : groebner
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Conference papers
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https://hal.inria.fr/inria-00100996
Contributor : Publications Loria <>
Submitted on : Tuesday, September 26, 2006 - 2:53:23 PM
Last modification on : Friday, February 26, 2021 - 3:28:06 PM

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  • HAL Id : inria-00100996, version 1

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Jean-Charles Faugère. A new efficient algorithm for computing Gröbner bases without reduction to zero. Eighth Rhine Workshop on Computer Algebra -RWCA 2002, 2002, Mannheim, Germany. ⟨inria-00100996⟩

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