On P Versus NP

Lev Gordeev

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arXiv · 2005.00809

On P Versus NP

Lev Gordeev

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Abstract

It is shown that graph-theoretic problem CLIQUE can't be solved in polynomial time by any deterministic TM. This upgrades the well-known partial result that claims only monotone unsolvability thereof, and eventually implies P $\neq$ NP as CLIQUE is NP-complete. This paper essentially simplifies my previous presentation that used more complex models of computation based on standard Boolean semantics while fixing technical errors spotted by a generic proof assistant Isabelle that has been implemented by Ren\'e Thiemann.

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Lev Gordeev. 2020-05-02. On P Versus NP. https://arxiv.org/abs/2005.00809

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