A Critique of Keum-Bae Cho's Proof that $\mathrm{P} \subsetneq \mathrm{NP}$

Benjamin Carleton; Michael C. Chavrimootoo; Conor Taliancich

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arXiv · 2104.01736

A Critique of Keum-Bae Cho's Proof that $\mathrm{P} \subsetneq \mathrm{NP}$

Benjamin Carleton·Michael C. Chavrimootoo·Conor Taliancich

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Abstract

In this paper we critique Keum-Bae Cho's proof that $\mathrm{P} \subsetneq \mathrm{NP}$. This proof relates instances of 3-SAT to indistinguishable binomial decision trees and claims that no polynomial-time algorithm can solve 3-SAT instances represented by these trees. We argue that their proof fails to justify a crucial step, and so the proof does not establish that $\mathrm{P} \subsetneq \mathrm{NP}$.

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Benjamin Carleton, Michael C. Chavrimootoo, Conor Taliancich. 2021-04-05. A Critique of Keum-Bae Cho's Proof that $\mathrm{P} \subsetneq \mathrm{NP}$. https://arxiv.org/abs/2104.01736

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