A novel approach of solving the CNF-SAT problem

Xili Wang

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arXiv · 1307.6291

A novel approach of solving the CNF-SAT problem

Xili Wang

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Abstract

In this paper, we discussed CNF-SAT problem (NP-Complete problem) and analysis two solutions that can solve the problem, the PL-Resolution algorithm and the WalkSAT algorithm. PL-Resolution is a sound and complete algorithm that can be used to determine satisfiability and unsatisfiability with certainty. WalkSAT can determine satisfiability if it finds a model, but it cannot guarantee to find a model even there exists one. However, WalkSAT is much faster than PL-Resolution, which makes WalkSAT more practical; and we have analysis the performance between these two algorithms, and the performance of WalkSAT is acceptable if the problem is not so hard.

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Xili Wang. 2013-07-24. A novel approach of solving the CNF-SAT problem. https://arxiv.org/abs/1307.6291

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