English

A Critique of a Polynomial-time SAT Solver Devised by Sergey Gubin

Computational Complexity 2008-04-18 v1 Data Structures and Algorithms

Abstract

This paper refutes the validity of the polynomial-time algorithm for solving satisfiability proposed by Sergey Gubin. Gubin introduces the algorithm using 3-SAT and eventually expands it to accept a broad range of forms of the Boolean satisfiability problem. Because 3-SAT is NP-complete, the algorithm would have implied P = NP, had it been correct. Additionally, this paper refutes the correctness of his polynomial-time reduction of SAT to 2-SAT.

Keywords

Cite

@article{arxiv.0804.2699,
  title  = {A Critique of a Polynomial-time SAT Solver Devised by Sergey Gubin},
  author = {Ian Christopher and Dennis Huo and Bryan Jacobs},
  journal= {arXiv preprint arXiv:0804.2699},
  year   = {2008}
}