Shanghai AI Laboratory’s Shusheng-S2 Helps Prove the Three-Dimensional Ghys Conjecture
上海AI实验室“书生-S2”大模型进入前沿数学研究流程：助力三维Ghys猜想证明并通过形式化验证
- Who
- Shanghai Artificial Intelligence Laboratory, Xudisheng’s team, and Zhang Jiesong
- What
- proved the three-dimensional Ghys conjecture with InnoScience S2 and human collaboration
- Quote
通过人机协同完成了三维Ghys猜想证明。
What happened
Xu Disheng’s team used Shanghai AI Laboratory’s Shusheng-S2 model in a human–AI collaboration to prove the three-dimensional Ghys conjecture, with a preprint posted on arXiv. Researchers guided seven rounds of recursive exploration as the problem graph expanded from 15 to 389 nodes. A Peking University team used its SHEAF framework to formalize all four main theorems, producing approximately 550,000 lines of Lean code in about five days and passing Lean checks.
Why it matters
The workflow offers a transferable approach to research mathematics, pairing expert guidance with recursive model exploration and organizing formal verification around a dependency graph of checkable proof tasks.
The story so far
Xu Disheng’s team reported proving the three-dimensional Ghys conjecture through human–AI collaboration using Shanghai AI Laboratory’s Shusheng-S2 model, with a preprint posted on arXiv. Researchers guided seven rounds of recursive exploration, expanding the graph of problems under investigation from 15 to 389 nodes. A Peking University team used its SHEAF framework to formalize all four main theorems. That work produced approximately 550,000 lines of Lean code in about five days, and the formalizations passed Lean’s checks.
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