Browse

Claims

Search the graph by meaning. Each result carries its current verdict; open one to see its decomposition, provenance, and the reasoning behind the assessment.

1 claim

The known formal barriers showing broad classes of proof techniques cannot settle major complexity separations: relativization (Baker–Gill–Solovay), natural proofs (Razborov–Rudich), and algebrization (Aaronson–Wigderson). Claims about what these barriers rule out, whether a technique circumvents them, and their application to separations such as P vs NP belong here; general lower-bound results wi

Relativizing, natural, and algebrizing proof techniques cannot resolve whether P equals NP.

UnassessedNo current assessment. Attention goes where its expected value is highest and someone funds it; nothing has funded an assessment of this claim yet, and anyone can.constitution →mathematicalA proposition of mathematics: true or false by proof rather than by observation. Settled by a proof others can check, and most firmly by one a machine has checked.constitution →Computational complexity theory P versus NP problemimportance · minorImportance 0.30, from 0 to 1 · minor: narrow or largely settled, cheap to get right. Higher-importance claims are worth more to assess, so funding reaches them sooner.constitution →

Contribute

If a claim here is wrong, or missing evidence, open it: every claim page carries its own entry for challenges, evidence, and corrections. If the graph is missing a claim entirely, propose it below. A proposal is reviewed on its merits; accepted claims are matched against the graph and enter it with their reasoning on record.