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Notes -
Not sure why @gradation is blocking me, but for the benefit of others, anyway, I think there's another astonishing bit here. In the version (hash 3014888) I'm reading: "This brings the total percentage of top-line results formalized to 300 / 719 = ~42%."
I'm generally the first to rave about how over the last 3 years AI has gone from "I'm lucky if I can talk it out of its hallucinated math mistakes" to "a mid-tier model catches me in as many math mistakes as vice-versa" ... but I still wouldn't trust anything long and AI-generated to be correct without some kind of verification! I would not have expected OpenAI's latest internal model to be so bad at autoformalization that they wouldn't just turn everything into Lean as a matter of course, nor for it to be so good at informal mathematics that they could even semi-safely publish an AI-generated proof without formally verifying it first. What exactly is happening there?
It'll be very interesting to see how much of the remaining 419 informal proofs get retracted like these 3, or at least revised for correctness like they did with another half dozen, versus simply being belatedly formalized like they did with an additional half dozen.
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