Two-Dimensional Indirect Binary Search for the Positive One-in-Three Satisfiability Problem
This addresses a computational complexity problem for researchers in theoretical computer science, but it appears incremental as it builds on existing methods for satisfiability problems.
The paper tackles the positive one-in-three satisfiability problem by proposing an algorithm that uses a 2-dimensional binary search method to decide the existence of a satisfying assignment without constructing an exponential number of assignments, resulting in efficient decision-making.
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.