Shanghai AI Lab's Intern-S2 helps prove the 3D Ghys conjecture, verified in Lean
Overview
Shanghai AI Laboratory says its Intern-S2 scientific multimodal model helped prove the three-dimensional case of the Ghys conjecture, posed by Etienne Ghys in 1995.
The paper on codimension-one holomorphic Anosov diffeomorphisms lists a single author, Jiesong Zhang of KTH Royal Institute of Technology, who says he used an internal Intern-S2 version and independently verified all the mathematics. Shanghai AI Lab and Professor Xu Disheng's team describe the work as human-AI collaboration; one report says the process ran seven rounds of recursive reasoning, growing the problem graph from 15 to 389 nodes.
A Peking University team led by Dong Bin and Liu Ruochuan formalized the four main theorems in Lean using SHEAF, an open-source formalization agent, producing about 550,000 lines of Lean code in roughly five days. The formal code is published on GitHub, and the paper was posted to arXiv on September 29 and revised on October 13.
Written by AI from the articles below · updated Oct 15, 5:46 AM ET
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- PandailyNewsPickShanghai AI Lab's Intern-S2 helps prove the three-dimensional Ghys conjecture, verified in Lean
AIShanghai AI Laboratory says its Intern-S2 scientific multimodal model helped mathematicians prove the three-dimensional case of the Ghys conjecture, posed by Etienne Ghys in 1995. A Peking University team then formalized the main results in Lean using SHEAF, an open-source formalization agent, producing about 550,000 lines of Lean code in roughly five days. The source says the paper's sole listed author, Jiesong Zhang, used an internal Intern-S2 version and independently verified all the mathematics.
- LeiphoneNewsPickShanghai AI Lab's Shusheng-S2 helps prove a three-dimensional Ghys conjecture result
AIShanghai AI Laboratory and Professor Xu Disheng's team say the Shusheng-S2 scientific multimodal model, working with human researchers, produced a proof of the three-dimensional Ghys conjecture. Peking University's Dong Bin and Liu Ruochuan team says it completed a Lean formal verification of all four main theorems in about five days, producing roughly 550,000 lines of Lean code. The collaboration ran seven rounds of recursive reasoning, growing the problem graph from 15 to 389 nodes.
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