Watershed Moment for AI–Human Collaboration in Math
View original at spectrum.ieee.orgIEEE Spectrum - Technical Title: Watershed Moment for AI–Human Collaboration in Math Date: 2026-03-02 18:00 Source: https://spectrum.ieee.org/ai-proof-verification <img src="https://spectrum.ieee.org/media-library/four-by-four-grid-of-circles-with-varying-color-gradient-patterns.jpg?id=65103143&width=2000&height=1500&c…
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These new results seem very, very impressive, and definitely signal some rapid progress in this direction
80% confidenceThis is technology that we're very excited about, because it has the capability to do great things and to assist mathematicians in remarkable ways
80% confidenceThey told us that they had finished 30 sorrys, which meant that they proved 30 intermediate facts that we wanted proved
80% confidenceFormal verification of a proof is like a rubber stamp. It's a kind of bona fide certification that you know your statements of reasoning are correct
80% confidenceA programmer used to be someone who punched holes into cards, but then the act of programming became separated from whatever material substrate was used for recording programs
80% confidenceThe end result of technology like this will be to free mathematicians to do what they do best, which is to dream of new mathematical worlds
80% confidenceIn late October we heard from Math, Inc. for the first time
80% confidenceWhen they reached out to us in late January saying that they finished it, to put it very mildly, we were very surprised
80% confidenceThis new version reproduced our three-week PNT result in two to three days
80% confidenceIt was a pretty fruitful collaboration
80% confidenceWe made a research breakthrough sometime mid-January that produced a much stronger version of Gauss
80% confidenceGauss is a particular kind of language model called a reasoning agent that's meant to interleave both traditional natural-language reasoning and fully formalized reasoning
80% confidenceOne of the proofs from Math, Inc. helped us identify a typo in our project, which we then fixed
80% confidenceGauss is able to conduct literature searches, call up tools, and use a computer to write down Lean code, take notes, spin up verification tooling, run the Lean compiler, et cetera
80% confidenceWe had been building the project's repository for about 15 months when we enabled public access in June 2025
80% confidenceThe 24-dimensional case was actually significantly more involved than the 8-dimensional case, because there was a lot of missing background material that had to be brought on line surrounding many of the properties of the Leech lattice, in particular its uniqueness
80% confidence