proof-checker

Checks and repairs LaTeX mathematical proofs via adversarial review and audit.

1|1|Updated May 19, 2026
One-click install
npx skills add https://github.com/zhuyingqin/ARIS-WEB --skill proof-checker-zhuyingqin
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: proof-checker
Source: https://github.com/zhuyingqin/ARIS-WEB/tree/main/crates/runtime/assets/skills/proof-checker
Command: npx skills add https://github.com/zhuyingqin/ARIS-WEB --skill proof-checker-zhuyingqin

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes assets (resource) components.

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.

Frequently Asked Questions about proof-checker

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I verify a mathematical proof for hidden assumptions and logical gaps?

To verify a mathematical proof for hidden assumptions, you can use an adversarial review process that cross-checks logic, parameter tracking, and scope, then repairs gaps with full derivations and generates a structured audit report.

Can I check and fix a LaTeX theorem proof automatically?

Yes, you can check and fix a LaTeX theorem proof by inputting the file path, enabling deep-fix to repair identified issues, and running re-review loops until the mathematical arguments converge or reach a round limit.

What is adversarial counterexample search in mathematical auditing?

Adversarial counterexample search in mathematical auditing attempts to break critical claims using targeted strategies like degeneracy, dimensional collapse, extremal distributions, and numeric-style falsification to ensure proof robustness.

Does proof verification work with specific theorem and lemma chains in a theory paper?

Proof verification works with specific theorem and lemma chains in a theory paper by rigorously auditing the entire argument structure for unjustified interchanges, quantifier issues, and parameter-scope mistakes.

What is the best way to audit a research workflow for quantifier and order issues?

The best way to audit a research workflow for quantifier and order issues is running cross-model adversarial reviews that apply structured acceptance gates and output auditable before and after proof artifacts.

When should I not use automated proof fixing?

You should not use automated proof fixing when your LaTeX proof requires subjective mathematical intuition that cannot be validated by objective acceptance gates or targeted counterexample red-teaming strategies.