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.