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arXiv:1004.3702cs.DS

A Polynomial time Algorithm for 3SAT

Lizhi Du

Abstract

By creating some new concepts and methods: checking tree, long unit path, direct contradiction unit pair, indirect contradiction unit pair, additional contradiction unit pair, 2-unit layer and 3-unit layer, redundant units, and destroying parallel pairs , we successfully transform solving a 3SAT problem to solving 2SAT problems in polynomial time. Thus we proved that NP=P.

arXiv comments
35 pages. This time, I add a detailed polynomial time algorithm and proof for 3SAT
Journal reference
DOI
Subjects
cs.DSData Structures and Algorithms

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