math-olympiad

Solves complex math problems with adversarial and deep-mode verification.

Updated Sep 30, 2024

Search Tags:#problem solving #verification #mathematics #mathematical reasoning #olympiad

Ready to run

npx skills add https://github.com/phillip-hirsch/dotfiles --skill math-olympiad-phillip-hirsch

💬 Prompt for ChatGPT / Claude Chat▼

Please help me install this Agent Skill.
Skill: math-olympiad
Source: https://github.com/phillip-hirsch/dotfiles/tree/main/.claude/plugins/marketplaces/claude-plugins-official/plugins/math-olympiad/skills/math-olympiad
Command: npx skills add https://github.com/phillip-hirsch/dotfiles --skill math-olympiad-phillip-hirsch

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill requires python, latex, and includes scripts (resource) and references (resource) and assets (resource) components.

What problem does it solve?

This Skill automates the solving of complex math problems, including verification and adversarial checks, providing high confidence in the solutions.

Core Features & Use Cases

Adversarial Verification: Ensures solutions are accurate through adversarial checks.
Problem Solving: Automates the process of solving math problems like the IMO.
Use Case: For a math competition, use the Math Olympiad Skill to solve a problem, verify the solution, and ensure its accuracy.

Quick Start

Solve the following IMO problem: Prove that for all integers n ≥ 2, n² + 1 is prime.

Frequently Asked Questions about math-olympiad

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

FAQPage Schema

How does adversarial verification work for mathematical problem solving?▼

Adversarial verification works by subjecting automated mathematical problem solutions to adversarial checks, challenging their accuracy through internal refinement and deep-mode verification to ensure high confidence results.

How do I solve complex math olympiad problems automatically?▼

You can solve complex math olympiad problems automatically by using a Skill that combines internal refinement with deep-mode verification, handling the mathematical reasoning and outputting the final solution in LaTeX format.

Do I need Python and LaTeX to automate math problem verification?▼

Yes, you need Python and LaTeX to automate math problem verification, as Python handles the computational logic and LaTeX is required for properly formatting the mathematical output.

What is the best way to verify mathematical reasoning in competition problems?▼

The best way to verify mathematical reasoning in competition problems is through deep-mode and adversarial verification checks, which test the solution's logic against counterexamples to guarantee high confidence accuracy.

Can this Skill handle IMO level mathematical proofs?▼

Yes, the Skill can handle IMO level mathematical proofs by automating the solving process and applying adversarial checks, as demonstrated by its ability to tackle complex proofs like proving n² + 1 is prime.