What problem does it solve?
This Skill verifies a mathematical proof end-to-end, identifies gaps and hidden assumptions, then repairs the proof with full derivations and produces an audit trail that explains what was wrong and what was fixed.
Core Features & Use Cases
- Cross-model adversarial proof review: performs rigorous critique and gap detection (logic, analysis/measure theory, parameter tracking, and scope).
- Proof fixing with re-review loops: repairs each issue and rechecks until issues converge or a round limit is reached.
- Objective acceptance gate + audit outputs: uses a structured acceptance criterion and generates detailed audit artifacts suitable for scholarly workflows.
- Counterexample red-teaming: attempts to break critical/major claims using targeted adversarial strategies (degeneracy, dimensional collapse, extremal distributions, and numeric-style falsification when applicable).
Quick Start
Use the proof-checker skill to verify and fix the LaTeX proof in main.tex located in your paper directory, and write the results into PROOF_AUDIT.md.