What problem does it solve?
This Skill solves high-level competition mathematics problems from the IMO, Putnam, USAMO, and AIME, with adversarial verification that catches subtle errors missed by self-verification, and calibrated confidence that avoids bluffing when no confident solution exists.
Core Features & Use Cases
- Adversarial Proof Verification: Uses 12 specific failure pattern checks instead of generic logic review to catch hidden gaps in proofs, with dual context isolation to avoid bias from solver thinking traces.
- Calibrated Confidence: Admits when no confident solution exists rather than outputting a wrong answer, with partial progress notes for unsolved problems.
- Verified Proof Presentation: Compiles verified correct proofs into clean, readable LaTeX documents, with optional PDF compilation if a LaTeX compiler is available.
- Use Case: If you are preparing for a math competition or need to verify the correctness of an olympiad-style proof, this Skill runs multiple parallel solver attempts, adversarially verifies the outputs, and returns a rigorously checked solution or an honest abstention.
Quick Start
Use the math-olympiad skill to solve the attached IMO 2024 Problem 3 and output a verified LaTeX proof if a confident solution exists.