English

A Polynomial Decision for 3-SAT

Data Structures and Algorithms 2024-06-11 v3

Abstract

We propose a polynomially bounded, in time and space, method to decide whether a given 3-SAT formula is satisfiable or not. The tools we use here are, in fact, very simple. We first decide satisfiability for a particular 3-SAT formula, called pivoted 3-SAT and, after a plain transformation, still keeping the polynomial boundaries, it is shown that 3-SAT formulas can be written as pivoted formulas.

Keywords

Cite

@article{arxiv.2208.12598,
  title  = {A Polynomial Decision for 3-SAT},
  author = {Angela Weiss},
  journal= {arXiv preprint arXiv:2208.12598},
  year   = {2024}
}

Comments

Revisited version. Short proofs

R2 v1 2026-06-25T02:00:06.364Z