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The Theory of Plafales: P vs NP Problem Solution

Dmytro Topchyi

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Source: Crossref

Published: Sep 15, 2026

DOI: 10.20944/preprints202603.0689.v4

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Source abstract

In this paper, we consider the properties of the following objects: plafal and geo-space (a general overview). As an application of the created theory, the proof of the equality of complexity classes P and NP will be given. The geo-plafal is a kernel (computational template) of the proof; Khomchenko’ scientific school (the constructive theory of serendipity approximations), Stepanets’ scientific school and the Bogolyubov principle of the decay of correlations for an infinite three-dimensional systems is a shell of the proof.

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The Theory of Plafales: P vs NP Problem Solution — Mathematical Frontier Network