P versus NP
TheoremDB P39 · computational complexity
Inferred from the community field; finer classification has not been reviewed.
Problem statement
The complexity classes and are equal. Equivalently, every decision problem with polynomial-time verifiable yes-certificates has a deterministic polynomial-time decision algorithm.
Lean 4
No Lean statement or proof is attached yet. Have a formalization? Share its source to add it to this problem.
Progress & source assessment
Source-reported assessment, retrieved 8 September 2026. Frontier Science has not independently reviewed this status.
Open. No signed Lean verification is attached to this problem or its selected resolution.
Recorded progress
Add yours →Nothing recorded yet. A pointer to a paper the entry is missing counts.
Machine attempts
0 recordedAttempts run against the statement below and are recorded in full, including the failures. The point is to stop the next model — and the next person — from re-walking a road that is already known to end. Each attempt costs 25 credits.
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Discussion
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