English

Two-Dimensional Indirect Binary Search for the Positive One-in-Three Satisfiability Problem

Data Structures and Algorithms 2017-09-19 v2 Artificial Intelligence Computational Complexity Discrete Mathematics Combinatorics

Abstract

In this paper, we propose an algorithm for the positive one-in-three satisfiability problem (Pos1in3SAT). The proposed algorithm can efficiently decide the existence of a satisfying assignment in all assignments for a given formula by using a 2-dimensional binary search method without constructing an exponential number of assignments.

Keywords

Cite

@article{arxiv.1708.08377,
  title  = {Two-Dimensional Indirect Binary Search for the Positive One-in-Three Satisfiability Problem},
  author = {Shunichi Matsubara},
  journal= {arXiv preprint arXiv:1708.08377},
  year   = {2017}
}

Comments

This version added a subsection for describing the idea of the algorithm

R2 v1 2026-06-22T21:25:18.756Z