Viazovska's optimal sphere packing theorem in dimension 8 has been fully formalized in Lean, with the final stages completed by Math, Inc.'s autoformalization model Gauss.
arXiv preprint arXiv:2603.13680 (2026),https://arxiv.org/abs/2603.13680
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Meno and tactic ablation on Tao's Analysis I generate proof populations that embed on low one- or two-dimensional submanifolds far from human constructions in Goedel Prover space.
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Progress in Formalizing Sphere Packing in Dimension 8
Viazovska's optimal sphere packing theorem in dimension 8 has been fully formalized in Lean, with the final stages completed by Math, Inc.'s autoformalization model Gauss.
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Ablation and the Meno: Tools for Empirical Metamathematics
Meno and tactic ablation on Tao's Analysis I generate proof populations that embed on low one- or two-dimensional submanifolds far from human constructions in Goedel Prover space.