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arXiv · 1605.07503

A novel algorithm for solving the Decision Boolean Satisfiability Problem without algebra

Carlos Barrón-Romero
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Abstract

This paper depicts an algorithm for solving the Decision Boolean Satisfiability Problem using the binary numerical properties of a Special Decision Satisfiability Problem, parallel execution, object oriented, and short termination. The two operations: expansion and simplification are used to explains why using algebra grows the resolution steps. It is proved that its complexity has an upper bound of $2^{n-1}$ where $n$ is the number of logical variables of the given problem.

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Carlos Barrón-Romero. 2016-04-28. A novel algorithm for solving the Decision Boolean Satisfiability Problem without algebra. https://arxiv.org/abs/1605.07503

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