Amazon is making the largest single donation in the history of the Lean Focused Research Organization (FRO) to support the development of Lean, a programming language that enables mathematical proofs …
The Lean FRO and Mathlib Initiative have launched Tau Ceti, an open-source repository of formal mathematics where all code is written by AI contributors under human-directed roadmaps and adversarial A…
AxiomProver, an autonomous multi-agent ensemble theorem prover for Lean 4 developed by Axiom Math, achieved a perfect score of 42/42 at the International Mathematical Olympiad (IMO) 2026 in Shanghai o…
An AI system collaborating with a mathematician successfully formalized the nonlinear Vlasov equation in Lean 4, converting LaTeX documents into verified proofs without any 'sorry' placeholders. The c…
A team built a prototype that verifies code migration from F# to Python using a proof in the Lean theorem prover, rather than relying on tests. The system translates both the original and rewritten co…
A new study on natural-language-to-Lean formalization reveals that compile-rate evaluation overestimates faithfulness, with a tool-augmented agent achieving 89.5% compilation but only 60.5% consensus …
Researchers at the University of Washington released TheoremGraph, a unified dependency graph spanning 18 million+ mathematical statements from arXiv papers and the Lean formal proof assistant. The gr…
Researchers used Lean 4's kernel-level tracking to show that the axiom of choice has a measurable geometric correlate in proof space, with classical proofs exhibiting distinct geometric signatures tha…
Researchers introduced DeFAb, a benchmark for defeasible abduction in foundation models, converting knowledge bases into 372,648+ logically verifiable instances. Frontier language models achieved at m…
A user tested Claude's ability to generate Lean 4 code to formalize a ring theorem, achieving a proof after 11 iterations but with five unproven 'sorry' sections. The experiment highlights challenges …
John D. Cook used Anthropic's Claude (Sonnet 4.6 Medium) to find a typo in a blog post about quaternion rotations by asking it to write Lean code verifying the post's theorems. After four iterations, …
Researchers introduced MA-ProofBench, the first formal theorem-proving benchmark for mathematical analysis, containing 200 problems across two difficulty levels. Evaluations of leading LLMs showed poo…
Anthropic's Claude AI generated a Lean formal proof for a Fourier coefficient calculation involving Bessel functions, requiring eight iterations to fix errors and produce a working proof with four 'so…