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

1 CALFOR - Calcul formel
LIP6 - Laboratoire d'Informatique de Paris 6
2 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 :
Document type :
Conference papers
Domain :

https://hal.inria.fr/inria-00100997
Contributor : Publications Loria Connect in order to contact the contributor
Submitted on : Tuesday, September 26, 2006 - 2:53:24 PM
Last modification on : Friday, February 4, 2022 - 4:17:36 AM

### Identifiers

• HAL Id : inria-00100997, version 1

### Citation

Jean-Charles Faugère. A new efficient algorithm for computing Gröbner bases without reduction to zero. Workshop on application of Groebner Bases 2002, 2002, Catania, Spain. ⟨inria-00100997⟩

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