$P$ vs $NP$ is a famous problem. We generally believe $P\neq NP$ . However suppose there is a polynomial time algorithm of order say $O((n+m)^2)$ or $O((n+m)^3)$ (a low degree polynomial complexity with small hidden constants) for $n$ variable SAT problem in $m$ clauses, then what consequence would it have on $AI$ and machine learning? Would $AGI$ be any closer?

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