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P=NP Algorithm

Published in Zenodo (CERN European Organization for Nuclear Research) • Feb 26, 2026
Authors:
Kaoru Aguilera Katayama
,
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Abstract

We present the Binary-SAT Collapse, a reduction that recasts the Boolean satisfiability problem (SAT) as a binary search over the totally ordered space of all possible variable assignments. Given a CNF formula $\Phi$ with $n$ variables, the search space $\{0, \dots, 2^n - 1\}$ has size $N = 2^n$. Bi...

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