Emergent Mind
On Arroyo-Figueroa's Proof that $\mathrm{P} \neq \mathrm{NP}$
(2103.15246)
Published Mar 28, 2021
in
cs.CC
and
math.CO
Abstract
We critique Javier Arroyo-Figueroa's paper titled ``The existence of the Tau one-way functions class as a proof that $\mathrm{P} \neq \mathrm{NP}$,'' which claims to prove $\mathrm{P} \neq \mathrm{NP}$ by showing the existence of a class of one-way functions. We summarize our best interpretation of Arroyo-Figueroa's argument, and show why it fails to prove the existence of one-way functions. Hence, we show that Arroyo-Figueroa fails to prove $\mathrm{P} \neq \mathrm{NP}$.
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