Core Viewpoint - The article discusses the significant achievement of mathematician Terence Tao in utilizing AI to complete a mathematical proof in just 33 minutes, showcasing the potential of AI in automating complex mathematical tasks [2][10][12]. Group 1: AI in Mathematical Proofs - Terence Tao demonstrated the use of AI to formalize a proof related to the Magma equation E1689, which traditionally required extensive manual effort [8][9]. - The process involved breaking down the proof into small logical units and using GitHub Copilot to generate code, which was then refined using Lean's canonical strategy [10][12]. - This method not only reduced the time taken for the proof but also ensured that the final output was human-readable, addressing concerns about the reliance on computer-generated proofs [12][15]. Group 2: Development of Proof Assistant - Tao announced the upgrade of his mathematical proof assistant to version 2.0, which is a lightweight tool developed in Python aimed at simplifying short and tedious proof tasks [23][24]. - The assistant has two modes: assumption mode and strategy mode, with the latter being the default, allowing users to apply various strategies to solve problems [28]. - The tool supports linear arithmetic and can guide users through the proof process, demonstrating its flexibility and potential for further development [32][38]. Group 3: Community Engagement and Future Plans - Tao expressed satisfaction with the proof assistant and welcomed suggestions for new features, indicating a collaborative approach to its development [38]. - Plans include creating tools for estimating symbolic function norms and deploying strategies for established mathematical inequalities, highlighting ongoing innovation in the field [38].