The part about prove2.me was interesting. That means that a co-working tool was instrumental in the project, and I think AI companies will take note of this. Is this proof specific or will we need to give agents access to JIRA or similar tools to solve large projects in the future?
This stuck out to me, too. That a (presumably rather simple) coworking tool was instrumental in shaping the vast (6B token!) output is eye-opening. We have this vast power but without intermediate structure it is wasted. Much like Turing machines themselves, which are shaped by language design to get somewhere at the expense of getting everywhere.
I helped build https://prove2.me . It's not proof-specific but everything is Lean-based. I've found the tool useful when formalizing recent upper bounds on $\omega$ (in computational complexity of matrix multiplication). A lot of ideas in this tool are experimental, but the intent is to benefit the mathematical community at large. I'd be happy to hear about any suggestions or advice others have.
