A team at Google DeepMind has developed an AI system called AlphaGeometry. It can solve geometry Olympiad questions almost as well as a human gold medallist.
AlphaGeometry is a theorem prover specifically designed for Euclidean plane geometry. It uses a unique approach to avoid the challenges associated with traditional Machine Learning methods, particularly in mathematical fields. The system builds a large dataset by generating millions of theorems and proofs at different levels of complexity. It then uses a neural language model and a symbolic deduction engine to navigate through challenging mathematical problems.
To test its capabilities, AlphaGeometry was evaluated on 30 classical geometry questions from the International Mathematical Olympiad (IMO). It outperformed previous state-of-the-art theorem provers and demonstrated a success rate comparable to that of an average IMO gold medallist.
The system produces human-readable proofs, advancing the automation of reasoning in mathematical competition. This breakthrough makes AlphaGeometry the first program to effectively prove theorems in Euclidean plane geometry more effectively than the average human competitor.
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