Comment by adgjlsfhk1

11 hours ago

the presumption is that these results are a side-effect of reinforcement learning to make the models smarter.

Uh no, reinforcemnt learning doesn't magically pop out math proofs. OpenAI has a ton of mathematicians on staff and is spending millions of dollars in compute to pursue these solutions.

  • Dropping ultra hard problems on those things and giving them reward when lean accepts the proof sound like an obvious RL environment tbh

  • That's not necessarily incompatible. The raw output could come from RL rollouts where the model learnt from the process of solving these problems.