On the relation between the MXL family of algorithms and Gröbner basis algorithms
✍ Scribed by Martin R. Albrecht; Carlos Cid; Jean-Charles Faugère; Ludovic Perret
- Book ID
- 113756584
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 305 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0747-7171
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📜 SIMILAR VOLUMES
In this paper, we present an optimal, exponential space algorithm for generating the reduced Gröbner basis of binomial ideals. We make use of the close relationship between commutative semigroups and pure difference binomial ideals. Based on an optimal algorithm for the uniform word problem in commu
It is known that the reduced Gröbner basis of general polynomial ideals can be computed in exponential space. The algorithm, obtained by Kühnle and Mayr, is, however, based on rather complex parallel computations, and, above that, makes extensive use of the parallel computation thesis. In this paper