$2,000 in API Costs Used to Autoformalize Homotopy Group Theorem
nihilunbounded · x · 2026-08-31
An experiment to autoformalize the homotopy group theorem π₃(S²) = Z using AI APIs took several days and cost nearly $2,000. The author suggests this case illustrates the emerging future of AI in high-level mathematical proof automation.
Related event: AI Formalizes Spherical Homotopy Theorem for $2,000, Sparks Debate(2 posts)→
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