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June 29, 2026Open Access

P ≠ NP via Logical Steps: A Structural Proof from the Lottery Model

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Key Points

To establish a structural proof that P ≠ NP using the concepts of temporal irreversibility and the lottery model.
Developed a proof framework based on logical reasoning and temporal dynamics.
Utilized the lottery model to illustrate the concepts effectively.
Demonstrated that the assumptions of the lottery model lead to a clear distinction between P and NP.

Implication

Shows a structural proof of P ≠ NP using temporal irreversibility in logical models, suggesting new pathways in computational theory.

Abstract

A structural proof of P ≠ NP based on temporal irreversibility and the lottery model. Part of the Iteraticism project.

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Cite This Study

Yuze Li (2026) studied this question.

synapsesocial.com/papers/6a44af895cd2549c8bc4476e https://doi.org/10.17605/osf.io/c7udq

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Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1P ≠ NP via Logical Acts: A Structural Proof from the Lottery ModelOriginal Research · 2026
2P ≠ NP: A Proof via Temporal OntologyOriginal Research · 2026
3Observer-Irreducibility Theorem: An Unconditional Proof That P ≠ NPOriginal Research · 2025
4A State-Transition Proof of P ≠ NPOriginal Research · 2026
5The Structural Non-Invertibility of Selection and the Separation of P and NPOriginal Research · 2026

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