DomTheDeveloper / DomTheDeveloper/crl
Independent review requested: Bernstein–Bézier coefficient-inner-cone grand theorem
@DomTheDeveloper is already working on this.
Since Jul 21, 2026.
- Dominant language
- Lean
- Stars
- 0
- Forks
- 1
- PR merge metrics
- No merged PRs in 30d
Description
We request independent review of the Bernstein–Bézier certified inner-cone theorem package in draft PR #133.
Current review branch: formal/bernstein-bezier-grand-canonical
Current repair head at issue creation: 735b96d0d5363c5135b2d536d763060f238e1c88
The broad Bernstein convex-hull property and general finite-element Mosco theory are acknowledged prior art. The candidate combined contribution is narrower:
- fixed-degree conforming simplicial Bernstein coefficient inner cones;
- constructive high-order recovery for that practical inner subset;
- globally assembled coefficient projection localized near an active interface;
- the defect-order/codimension/duality rate
gamma = min(beta - 1 + kappa/q, (beta + kappa + sigma)/q); - the balanced quadratic codimension-one
3/2specialization; - a Lean bridge from finite coefficient certificates through abstract Mosco, VI, and rate endgames.
Review panels:
- A — numerical analysis / Mosco: convex-target density, positive Bernstein sampling, conformity, diagonal recovery, and prior-art boundary.
- B — free boundary / contact: localization, patch scaling, multiplier pairing, exponent derivation, and restricted sharpness claim.
- C — formal methods: theorem-to-Lean correspondence, explicit analytical hypotheses, full build, axiom transcript, and
sorryAxaudit. - D — novelty: search for a source containing the full coefficient-inner-cone recovery plus localized rate mechanism.
- E — clean-room reproduction: independently reconstruct and run the numerical protocol.
Please report:
- name and affiliation;
- panel addressed;
- exact commit reviewed;
- verdict:
PASS,PASS AFTER CORRECTION, orFAIL; - numbered findings with file/theorem references;
- missing citations or collisions;
- permission or refusal to publish the report.
Entry documents on PR #133:
math/bernstein_obstacle/EXTERNAL_REVIEW_REQUEST_2026-07-20.mdmath/bernstein_obstacle/GRAND_THEOREM_FINAL_REVIEWED_2026-07-20.mdmath/bernstein_obstacle/audit_packets/AI_RED_TEAM_PANEL_2026-07-20.mdmath/bernstein_obstacle/audit_packets/EXTERNAL_REVIEW_STATUS.mdmath/bernstein_obstacle/lean/GrandCanonicalAudit.leanmath/bernstein_obstacle/lean/BernsteinObstacle/ConvexConstraint.lean
The internal AI red-team report is disclosed but does not count as independent validation.
Contributor guide
No contributing guide indexed for this repository
First steps
- Read the whole issue, then the project's contributing guide.
- Comment on the issue to say you are picking it up — it saves two people doing the same work.
- Fork the repository and make your change on a branch.
- Open a pull request that references the issue number.
Assessment
This issue has not been assessed yet.