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Theoremresearch

Mahaney's theorem

Also called sparse NP-complete sets theorem.

If a sparse set is NP-complete under polynomial-time many-one reductions, then P equals NP.

If a sparse set is NP-complete under polynomial-time many-one reductions, then P equals NP.

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The build computes these levels from the evidence in the repository. Each row says what the next level needs. Read what the levels mean.

LadderLevelWhat the next level needs
Human proofH0 no proof
  • add a proof in proofs/ (06.5)
LeanL0 no Lean part
  • name a Lean module in the lean field (07)
VisualV0 none
  • add viz/scene.ts or a figure (10)
WritingW0 stub
  • Statement
  • one source with a locator