> This year, our advanced Gemini model operated end-to-end in natural language, producing rigorous mathematical proofs directly from the official problem descriptions – all within the 4.5-hour competition time limit
> This year, our advanced Gemini model operated end-to-end in natural language, producing rigorous mathematical proofs directly from the official problem descriptions – all within the 4.5-hour competition time limit
It is not clear to me from that paragraph if the model was allowed to call tools on its own or not.
It seems that LLMs excel (relative to other paradigms) in the kind of "loose" creative thinking humans do, but are also prone to the same kinds of mistakes humans make (hallucinations, etc). Just as Lean and other formal systems can help humans find subtle errors in their own thinking, they could do the same for LLMs.
I get the impression not using tools is as part of the point though - to help demonstrate how much mathematical "reasoning" you can get out of just a model on its own.
But all the model providers are putting emphasis on the "this is only using natural language" angle, which I think is interesting both from a "this is easier for humans to actually use" perspective, but also comes from a place of "look how general the model is".
I don't think tool use would detract from the achievement, necessarily. I'm just interested to know.