𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


A Fast Algorithm for Gröbner Basis Conve
✍ Quoc-Nam Tran 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 362 KB

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

An Optimal Algorithm for Constructing th
✍ Ulla Koppenhagen; Ernst W. Mayr 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 642 KB

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

An Optimal Algorithm for Constructing th
✍ Ulla Koppenhagen; Ernst W. Mayr 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 404 KB

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