math-olympiad

Verifies mathematical proofs using adversarial verification to detect hidden errors.

Updated Jan 13, 2025
One-click install
npx skills add https://github.com/phucle297/dotfiles --skill math-olympiad-phucle297
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: math-olympiad
Source: https://github.com/phucle297/dotfiles/tree/main/.claude/plugins/marketplaces/claude-plugins-official/plugins/math-olympiad/skills/math-olympiad
Command: npx skills add https://github.com/phucle297/dotfiles --skill math-olympiad-phucle297

SYSTEM DOCUMENTATION & REQUIREMENTS

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

What problem does it solve?

This Skill provides a robust platform for verifying and validating mathematical proofs, offering a fresh perspective to catch errors that self-verification may miss.

Core Features & Use Cases

  • Proof Verification: Verify mathematical proofs for correctness with adversarial verification to detect subtle errors.
  • Counterexample Search: Identify counterexamples to claims or theorems.
  • Use Case: When presented with a proof for a complex mathematical problem, use this Skill to validate its correctness and ensure no errors were overlooked.

Quick Start

Use the math-olympiad skill to verify the proof of a known mathematical theorem.

Frequently Asked Questions about math-olympiad

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

FAQPage Schema
How do I verify a mathematical proof for complex competition problems?

You can verify a mathematical proof using an adversarial verification process, which challenges the logic of complex International Mathematical Olympiad problems to catch subtle errors that standard self-verification often misses.

What is adversarial proof verification and how does it work?

Adversarial proof verification is a mechanism that rigorously tests mathematical reasoning by actively searching for counterexamples and logical flaws, ensuring strict adherence to rules without relying on computation to validate theorem correctness.

How do I find a counterexample to a mathematical theorem or claim?

To find a counterexample, submit the theorem claim to an adversarial verification process that evaluates the mathematical reasoning and attempts to identify specific conditions where the proof or statement fails.

Can I use this to check proofs that require numerical computation?

No, this verification approach enforces a strict no computation rule, requiring absolute reliance on logical rigor and mathematical reasoning rather than numerical calculations to validate complex proofs.

What is the best way to validate International Mathematical Olympiad proofs?

The best way to validate International Mathematical Olympiad proofs is using an adversarial verification method that focuses on deep mathematical reasoning and counterexample search rather than standard self-verification.

Why does self-verification miss errors in complex mathematical proofs?

Self-verification misses errors because it lacks an adversarial perspective; introducing an opposing verification process actively challenges the proof's logic and exposes subtle flaws that self-reviewing the same reasoning would overlook.