What problem does it solve?
Manually verifying complex mathematical proofs for logical gaps, unjustified assertions, and invalid interchanges is extremely time-consuming and error-prone, especially for high-stakes academic theory papers where small oversights can invalidate core claims.
Core Features & Use Cases
- Cross-Model Adversarial Review: Uses a separate high-reasoning reviewer model to identify proof gaps across 20 categorized issue types, including logic errors, analysis flaws, and scope overclaims.
- Automated Gap Fixing: Generates full derivations for identified gaps, implements fixes in LaTeX, and re-reviews until all acceptance gate criteria are met.
- Audit Report Generation: Produces formal proof audit reports with proof-obligation accounting, counterexample red teaming results, and optional deep-fix LaTeX patches.
- Use Case: A researcher submitting a MICCAI 2025 theory paper with complex statistical proofs can use this skill to verify all theorem steps, fix any gaps, and generate a formal audit report to strengthen the paper's validity for peer review.
Quick Start
Use the proof-checker skill to verify and fix all gaps in the LaTeX proof file located at ~/papers/miccai25/main.tex with deep-fix enabled.