P versus NP
CB-PVSNP
canonical benchmark
canonical benchmarks
External: externally open
τ response: structurally constrained
Are problems whose solutions can be verified in polynomial time also solvable in polynomial time?
Current τ response
See the paired P versus NP — Challenge Response on the Results lane for the program's current response status, registry evidence, verification route, and external-review boundary.
Current status: structurally constrained.
Challenge statement
Are problems whose solutions can be verified in polynomial time also solvable in polynomial time?
Why this challenge is in the ledger
Central computational complexity stress test. Tests whether τ’s structural grammar can distinguish verification from computation.
τ-facing burden
Show whether τ-address complexity or τ-resource grammar yields nontrivial complexity-theoretic constraints; do not claim resolution without registry-anchored evidence.
Cross-domain links
- Physics P011: Complexity classes problems — Mathematical Clay problem ↔ physics quantum-information complexity.
First reviewer questions
- Does τ supply a complexity invariant distinct from existing ones?
- Can τ separate verification cost from computation cost?
- Does τ interact with known relativization, natural-proof, or algebrization barriers?
Source anchors
Source anchors are background references, not endorsements of Panta Rhei claims.