math-olympiad

Verify mathematical proofs using adversarial verification and expert reasoning.

Updated Apr 27, 2026
One-click install
npx skills add https://github.com/luiztrilha/dunderia-public --skill math-olympiad-luiztrilha
Or copy as Structured Prompt for Agent▼
Please help me install this Agent Skill.
Skill: math-olympiad
Source: https://github.com/luiztrilha/dunderia-public/tree/main/templates/local-runtime-profile/skills/claude-plugins/marketplaces/claude-plugins-official/plugins/math-olympiad/skills/math-olympiad
Command: npx skills add https://github.com/luiztrilha/dunderia-public --skill math-olympiad-luiztrilha

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes scripts (resource) and references (resource) and assets (resource) components.

What problem does it solve?

This Skill provides a robust platform to solve and verify complex mathematical problems, especially those found in olympiad-level competitions, with an emphasis on adversarial verification and advanced tools for mathematical reasoning.

Core Features & Use Cases

  • Adversarial Verification: Uses a five-pass adversarial verification process to ensure the correctness of solutions, catching errors that self-verification might miss.
  • Adversarial Patterns: Incorporates a library of 12 adversarial verification patterns to systematically check for common errors in mathematical proofs.
  • Deep Mode: Allows for extended problem-solving sessions with more time and computation power, suitable for particularly challenging problems.
  • Presentation Pass: A separate step to present the final proof in a clear, elegant format suitable for publication or review.
  • Use Case: If you have a difficult mathematical proof to verify, such as a problem from the International Mathematical Olympiad (IMO), you can use this Skill to obtain a verified and beautifully presented proof.

Quick Start

To verify a mathematical proof, use the math-olympiad skill with the command 'verify Proof: <proof_text>'.

Frequently Asked Questions about math-olympiad

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

FAQPage Schema
How do I verify mathematical proofs for olympiad problems?▼

The mathematical proof verification process uses a five-pass adversarial mechanism with 12 distinct verification patterns to systematically catch logical errors that standard self-verification often misses in complex olympiad problems.

What is adversarial verification in mathematical reasoning?▼

Adversarial verification in mathematical reasoning is a five-pass process utilizing 12 distinct adversarial patterns to systematically check for common logical errors that standard self-verification often misses in complex olympiad proofs.

Can I use this to solve International Mathematical Olympiad (IMO) problems?▼

Yes, you can solve International Mathematical Olympiad (IMO) problems by submitting your proof text. The Skill applies advanced verification techniques and a Presentation Pass to deliver a verified, elegantly formatted proof suitable for review.

How do I format verified mathematical proofs for publication?▼

Formatting verified mathematical proofs for publication is handled by a dedicated Presentation Pass, which translates the verified adversarial reasoning into a clear, elegant format suitable for academic review or publication.

Does advanced mathematical verification work for extremely difficult proofs?▼

Yes, advanced mathematical verification works for extremely difficult proofs through Deep Mode, which allows for extended problem-solving sessions with increased time and computation power to handle particularly challenging olympiad-level proofs.

Do I need advanced mathematical knowledge to use olympiad problem verification?▼

Yes, olympiad problem verification requires advanced mathematical knowledge to interpret the sophisticated verification techniques and adversarial patterns applied to complex mathematical reasoning and proof structures.