2026-10-11 16:37 UTC

lean-formalization

band: hotmomentum: stable score: 1.0
temperature history

Episodes (3)

Alman and Vassilevska Williams's preprint reports the first truly subquadratic 3SUM (O(n^1.9992)) and truly subcubic APSP (O(n^2.9995)) algorithms — attributing the core thin-matrix-product algorithm to an Anthropic research model with Lean-formalized theorems — and expert acceptance of both the results and the AI-origin attribution would establish frontier models as originators of landmark theoretical-CS advances.
corroboratedconvergesscott: high
qinz1yang claims the released Lean 4 differential-geometry library formalizes the Hamilton–Perelman proof of the Poincaré conjecture with kernel-checked, sorry-free theorems; validation by formal-mathematics experts would make it a machine-checked formalization of a Millennium Prize proof and a landmark of the AI-era formalization genre.
seedknownscott: low
OpenAI releases a broad batch of mathematical results from its internal frontier model on GitHub with Lean proof formalizations, per-result compute estimates (~3 hours of ChatGPT Pro thinking on average), and release protocols developed with IAS's independent AGMAI — whether the math community verifies the results and other labs adopt the advised-release protocol resolves whether structured third-party-advised release of AI-generated mathematics becomes standard practice.
acceleratingconvergesscott: high