Related papers: The Algorithmic Behaviour of the F5 Algorithm
This paper has been withdrawn by the author due to essential mistakes in some previous versions.
This paper has been withdrawn by the author(s), due to double submission. You can find it under: physics/0208019
This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.
This paper has been withdrawn by the author due a few mistakes in the paper.
This paper has been withdrawn by the authors due to some fatal errors in the analysis.
The purpose of this work is to generalize part of the theory behind Faugere's "F5" algorithm. This is one of the fastest known algorithms to compute a Groebner basis of a polynomial ideal I generated by polynomials f_{1},...,f_{m}. A major…
This paper has been withdrawn by the author due to a crucial problem in Lemma 3. This equation must be changed.
This paper has been withdrawn by the author because overcame by arXiv:0910.4694
This paper has been withdrawn by the author due to serious flaws in certain proofs. For instance, the method used to construct certain automorphic representations is flawed.
This paper has been withdrawn by the authors due to an incorrect analysis.
This paper has been withdrawn by the author, since one of the key results duplicates existing work, as pointed out by a reader. I am currently revising the manuscript.
The F5 algorithm is generally believed as one of the fastest algorithms for computing Gr\"{o}bner bases. However, its termination problem is still unclear. Recently, an algorithm GVW and its variant GVWHS have been proposed, and their…
This paper has been withdrawn by the author.
This paper has been withdrawn by the authors
The paper has been withdrawn by the author because the result obtained has been reported earlier by other authors.
This paper has been withdrawn by the author(s), due a crucial sign error in Thm. 11.
This paper has been withdrawn by the author(s) in the light of several other works available and due to a misunderstanding in the authorships.
The paper has been withdrawn by change of content and some errors in the examples.
This paper has been withdrawn by the author [arXiv admin].
This paper has been withdrawn by the author due to a crucial error in the definition of homomorphism.