English

A reduction of 3-SAT problem to Buchberger algorithm

Computational Complexity 2013-07-16 v1

Abstract

There is a number of known NP class problems, and majority of them have been shown to be equivalent to others. In particular now it is clear that construction of a Gr\"{o}bner basis (or Buchberger algorithm) must be one of equivalent problems, but there was no example. In the following paper the reduction is constructed.

Keywords

Cite

@article{arxiv.1307.3682,
  title  = {A reduction of 3-SAT problem to Buchberger algorithm},
  author = {Maiia Bakhova},
  journal= {arXiv preprint arXiv:1307.3682},
  year   = {2013}
}
R2 v1 2026-06-22T00:50:59.919Z