A Novel Logical Resolution to the P vs NP Problem

This paper introduces a new logical structure to resolve the P vs NP problem. By analyzing the foundational mechanics of polynomial vs non-deterministic polynomial-time problem-solving, we demonstrate that P ≠ NP through a series of bounded logical transformations. This approach avoids abstract reduction and instead focuses on stepwise logical constraints.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-04-12
DOI
https://doi.org/10.5281/zenodo.15203130
Primary Topic
Logic, Reasoning, and Knowledge
Type
article
Field-Weighted Citation Impact
0.00
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article

A Novel Logical Resolution to the P vs NP Problem

Zenodo (CERN European Organization for Nuclear Research)
Logic, Reasoning, and Knowledge
article

A Novel Logical Resolution to the P vs NP Problem

article en

Abstract

This paper introduces a new logical structure to resolve the P vs NP problem. By analyzing the foundational mechanics of polynomial vs non-deterministic polynomial-time problem-solving, we demonstrate that P ≠ NP through a series of bounded logical transformations. This approach avoids abstract reduction and instead focuses on stepwise logical constraints.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 76%
Logic, Reasoning, and Knowledge
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A Novel Logical Resolution to the P vs NP Problem · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS