alt Hacker NewsNo, they're not claiming that.
No one is disputing that the Lean formaization of Navier-Stokes is correct, so we should have high confidence that the generated Lean proof is valid.
The authors are claiming that the Lean proof is not the same proof as the NL one. Therefore, we shouldn't yet have confidence that the NL proof is valid.
This is an important claim which the math community will need to work through. However, the Lean proof alone is sufficient for OpenAI to (reasonably confidently, leaving aside questions of academic manners) claim to have proven NS.
Replies
>No one is disputing that the Lean formaization of Navier-Stokes is correct, so we should have high confidence that the generated Lean proof is valid.
These authors don't seem to be disputing that this Lean formalization of Navier-Stokes is correct. I don't think that gives us any new information about whether the generated Lean proof is or isn't a valid proof of this N-S blowup thing.
If it doesn't correspond to the original proof then you don't know what it is actually formalizing. It could be a buggy proof of ⊥.
So, the AI wrote a NL proof of Navier-Stokes, then incorrectly auto-formalised it to Lean, but still ended up with a verifiable proof of Navier-Stokes? That seems... strange?