I remembered a postdoc working on problem 2 during his spare time, and was explaining to starry eyed PhD candidate me about the beauty of this problem. Crazy how it’s been solved
yes, nonsofic groups exist: this statement is one of many new beautiful results proved by Astra, our next major model.
We're releasing 10 such Astra proofs, complete with lean certificates and CoT walkthroughs for each of them. The results are wide-ranging, from von Neumann
That said, while the focus is proving/disproving open problems, I think there’s room to prove existing results with more elegance aka Proofs from the Book
One example being the four color theorem
