A New Attempt On The F5 Criterion

Faugère's criterion used in the F5 algorithm is still not understand and thus there are not many implementations of this algorithm. We state its proof using syzygies to explain the normalization condition of a polynomial. This gives a new insight in the way the F5 criterion works.

Bibliographic Details
Main Author: Christian Eder
Format: Article
Language:English
Published: Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova 2008-04-01
Series:Computer Science Journal of Moldova
Online Access:http://www.math.md/files/csjm/v16-n1/v16-n1-(pp4-14).pdf