Current Research in Statistics & Mathematics(CRSM)
ISSN: 2994-9459 | DOI: 10.33140/CRSM
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P ≠ NP-A Formal Proof
Abstract
Craig Crabtree
This paper formally resolves the P vs NP problem by constructing a language and a reflection- resistant function R(x) that are verifiable in nondeterministic polynomial time but provably unsolvable in deterministic polynomial time. This separation is proven via diagonalization, bounded simulation, and a non-relativizing argument. The result is falsifiable, supported by scalable simulation, and universally testable.