Computation / Formal Limits / 2025

Preprint proposing a proof of P != NP via SAT solution-space incompressibility

Thesis

The P versus NP question can be approached through the structure of SAT solution spaces and the limits of compression.

Example from the work

The preprint develops an argument around SAT, diagonalization, solution spaces, and a proposed refutation of a compressibility hypothesis.

Method

Formal reasoning, independent theoretical work, SAT structure, diagonal-style argumentation, and proof-oriented abstraction.

Output

A theoretical preprint framed cautiously as a proposed proof requiring expert review and formal scrutiny.

Visible-source reconstruction

What can be shown precisely from the public material.

SSRN card: preprint posted May 6, 2025 and revised May 7, 2025, proposing an argument around P != NP, SAT, and compressibility.

Problem

The relation between finding a solution and verifying a solution

Object

SAT solution spaces and whether their structure can be compressed

Formal gesture

Diagonalization and incompressibility are treated as pressure points

Site treatment

Displayed as a formal map of limits, not as an unreviewed final theorem

Coordinates

SATsolution spacediagonalizationcompressibility

Source

SSRN

Open source