Lower bounds for the polynomial calculus and the Gröbner basis algorithm
✍ Scribed by R. Impagliazzo; P. Pudlák; J. Sgall
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 351 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1016-3328
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📜 SIMILAR VOLUMES
The Gröbner walk method converts a Gröbner basis by partitioning the computation of the basis into several smaller computations following a path in the Gröbner fan of the ideal generated by the system of equations. The method works with ideals of zerodimension as well as positive dimension. Typicall
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