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.