Average Polynomial Solving Recovery Checkpoint
S17
smale derived
smale derived
External: externally solved
τ response: external recovery checkpoint
Can τ recover or compare with average-case polynomial-solving frameworks for systems of complex polynomial equations?
Current τ response
See the paired Average Polynomial Solving Recovery Checkpoint — Challenge Response on the Results lane for the program's current response status, registry evidence, verification route, and external-review boundary.
Current status: external recovery checkpoint.
Challenge statement
Can τ recover or compare with average-case polynomial-solving frameworks for systems of complex polynomial equations?
Why this challenge is in the ledger
Recovery checkpoint for computational algebra, average-case complexity, polynomial systems, real/complex computation. Beltrán–Pardo and follow-up work largely resolved S17 externally.
τ-facing burden
Show whether τ-addressing and computational geometry can reproduce or explain the structural reason average-case polynomial solving becomes possible.
First reviewer questions
- Can τ express homotopy continuation methods?
- Does τ supply a structural account of average-case polynomial solving?
- Is the recovery extensional?
Source anchors
Source anchors are background references, not endorsements of Panta Rhei claims.