In just 5 days, Gauss automatically proved all remaining results needed to verify the result in 8 dimensions. The Sphere Packing team estimated that the 8-dimensional case alone would have taken six more months of work with existing tools. In two weeks, Gauss then autoformalized the 24-dimensional case using only the original paper as input, performing autonomous literature searches when needed. This brought the total sphere packing formalization from 70k to ~200k lines.
2026-02-22 21:04:33 +01:00
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