A Critique of Du's "A Polynomial-Time Algorithm for 3-SAT

Yumeng He; Matan Kotler-Berkowitz; Harry Liuson; Zeyu Nie

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arXiv · 2404.04395

A Critique of Du's "A Polynomial-Time Algorithm for 3-SAT

Yumeng He·Matan Kotler-Berkowitz·Harry Liuson·Zeyu Nie

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Abstract

In this paper, we examine the claims made by the paper "A polynomial-time algorithm for 3-SAT" by Lizhi Du. The paper claims to provide a polynomial-time algorithm for solving the NP-complete problem 3-SAT. In examining the paper's argument, we find a flaw in one of the main sections of its algorithm. We argue that this flaw causes the paper's algorithm to incorrectly decide that an infinite family of satisfiable 3-CNF boolean formulas are not satisfiable. Therefore, the paper does not establish that P = NP.

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Yumeng He, Matan Kotler-Berkowitz, Harry Liuson, Zeyu Nie. 2024-04-05. A Critique of Du's "A Polynomial-Time Algorithm for 3-SAT. https://arxiv.org/abs/2404.04395

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