We present a construction of a deterministic Turing machine augmented with an oracle that resolves any instance of 3-SAT — and by Karp reduction, any NP-complete problem — in O (n) time, where n is the number of variables. The oracle is defined as a precise binary search function over a lexicographically ordered enumeration K of all possible assignments. We formalize the exact oracle function, prove its existence, and derive the implication P = NP.
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Kaoru Aguilera Katayama
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Kaoru Aguilera Katayama (Fri,) studied this question.
www.synapsesocial.com/papers/69b5ff5c83145bc643d1bdd5 — DOI: https://doi.org/10.5281/zenodo.18992842