English

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

Computational Complexity 2022-05-16 v1

Abstract

In this paper we critique Keum-Bae Cho's proof that PNP\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 PNP\mathrm{P} \subsetneq \mathrm{NP}.

Keywords

Cite

@article{arxiv.2104.01736,
  title  = {A Critique of Keum-Bae Cho's Proof that $\mathrm{P} \subsetneq \mathrm{NP}$},
  author = {Benjamin Carleton and Michael C. Chavrimootoo and Conor Taliancich},
  journal= {arXiv preprint arXiv:2104.01736},
  year   = {2022}
}