math-olympiad

To verify competition math proofs, you can use an adversarial verification workflow where a fresh-context attacker targets specific failure patterns in the solution to catch self-verification errors before generating a final validated proof.

Adversarial verification is a process that solves a math problem, self-verifies the solution, and then launches a fresh-context attack using specific failure patterns to find logical errors before revising and presenting the final proof.

You can solve USAMO or AIME problem sets by running a per-problem workflow that applies rigorous adversarial checks and reductions to each item, ensuring every solution passes a strict verification pipeline before outputting validated proofs.

Yes, after the adversarial verification passes, a presentation generation pass produces a clean LaTeX-formatted verified proof ready for PDF compilation, provided LaTeX is available in your environment.

When the adversarial verification pipeline cannot confidently prove an inequality, it outputs calibrated confidence and explicitly states 'no confident solution' rather than bluffing or presenting an unverified proof.

No external tools are required to run adversarial proof verification for math olympiad problems; the entire workflow of solving, attacking, revising, and presenting uses pure reasoning without external dependencies.