A Critique of Kumar's "Necessary and Sufficient Condition for Satisfiability of a Boolean Formula in CNF and Its Implications on P versus NP problem."

Michael C. Chavrimootoo; Henry B. Welles

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arXiv · 2112.06062

A Critique of Kumar's "Necessary and Sufficient Condition for Satisfiability of a Boolean Formula in CNF and Its Implications on P versus NP problem."

Michael C. Chavrimootoo·Henry B. Welles

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Abstract

In this paper, we analyze the argument made by Kumar in the technical report "Necessary and Sufficient Condition for Satisfiability of a Boolean Formula in CNF and Its Implications on P versus NP problem." The paper claims to present a polynomial-time algorithm that decides CNF-SAT. We show that the paper's analysis is flawed and that the fundamental underpinning of its algorithm requires an exponential number of steps on infinitely many inputs.

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Michael C. Chavrimootoo, Henry B. Welles. 2021-12-11. A Critique of Kumar's "Necessary and Sufficient Condition for Satisfiability of a Boolean Formula in CNF and Its Implications on P versus NP problem.". https://arxiv.org/abs/2112.06062

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