Reproduce “What the Machine Invented: Mining New Mathematical Instruments from OpenAI's October 2026 Release of AI-Generated Mathematics” on OpenResearch
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About this paper
Ying Xie
The authors survey 38 selected mathematical problem families from 372, identifying lemmas, constructions, inequalities, and proof architectures that carry arguments and comparing them with earlier methods. The survey assigns 19 of 38 initial headline-formalization labels, but these are not verified results: it ran no Lean build. A separate application manuscript uses one extracted lemma toward circuit lower bounds, not proved here.
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