Core Insights - DeepMind, a subsidiary of Google, has developed an AI system named AlphaProof that can prove complex mathematical theories, enhancing the process of mathematical problem-solving [1][2] - AlphaProof demonstrated its capabilities by solving 4 out of 6 problems in the International Mathematical Olympiad, achieving a score equivalent to a silver medal [2] Group 1: AI System Development - The AI system, AlphaProof, is designed to generate verifiable proofs in a formal mathematical software environment, addressing challenges faced by traditional language models [1] - The system utilizes reinforcement learning to formalize and find proof methods for 80 million propositions, outperforming previous advanced AI systems in mathematical competitions [1] Group 2: Performance and Limitations - In the International Mathematical Olympiad, AlphaProof, in collaboration with another system called AlphaGeometry, successfully solved a significant portion of the competition's complex problems [2] - Despite its impressive performance, experts noted that AlphaProof has limitations in solving other forms of difficult problems, suggesting this as a future research direction [2]