Geodesic
Proof of the Faug\`ere Criterion for the F5 Algorithm
Matematičeskie zametki, Tome 88 (2010) no. 4, pp. 502-510

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he validity of the Faugère criterion for the F5 algorithm is established.
Keywords: F5 algorithm, Faugère criterion, Gröbner basis, polynomial ideal, head term. 
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     author = {O. N. German},
     title = {Proof of the {Faug\`ere} {Criterion} for the {F5} {Algorithm}},
     journal = {Matemati\v{c}eskie zametki},
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     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_4_a1/}
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O. N. German. Proof of the Faug\`ere Criterion for the F5 Algorithm. Matematičeskie zametki, Tome 88 (2010) no. 4, pp. 502-510. http://geodesic.mathdoc.fr/item/MZM_2010_88_4_a1/