The Theory of Plafales: P VS NP Problem Solution

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.

Authors

Publication Details

Journal
Preprints.org
Published
2026-10-28
DOI
https://doi.org/10.20944/preprints202603.0689.v5
Primary Topic
Complexity and Algorithms in Graphs
Type
preprint
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preprint

The Theory of Plafales: P VS NP Problem Solution

Dmytro Topchyi
Preprints.org
Complexity and Algorithms in Graphs
preprint

The Theory of Plafales: P VS NP Problem Solution

Dmytro Topchyi
preprint en

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.

Preprints.org
Complexity and Algorithms in Graphs
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The Theory of Plafales: P VS NP Problem Solution — Dmytro Topchyi · Preprints.org (2026) | TGRS Research Map | TGRS