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October 10, 2025Open Access

Toward Evidence That Travels in P vs NP: A Hypothesis-Driven, Verifiable Kernel Architecture (K) for 3-SAT

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Hypothesis-driven approach reveals potential for polynomial time solutions in 3-SAT, suggesting new avenues for evidence verification.

The proposed kernel architecture allows for polynomial time performance in restricted formula evaluation.
Within controlled windows, a small branching set can produce verifiable certificates for 3-SAT problems.
Auditable objects and defined hypotheses enhance reproducibility and verification of results.
Protection mechanisms are introduced to safeguard against adversarial recovery of the branching set K.

Rogério Figurelli (2025) studied this question.

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