Anthropic announced that its Claude model formalized Fermat's Last Theorem in Lean 4, producing 13 million lines of code and proving 29,500 theorems in 11 days, with verification by Lean's kernel and …
Anthropic published the first formalized proof of Fermat's Last Theorem on 4 September, and an independent clone by a technical blog confirmed the proof is 13,499,380 lines across 60,478 files, with a…
OpenAI did not prove the Navier–Stokes existence and smoothness conjecture, but it did prove alternatives (C) and (D) of the Clay Mathematics Institute's official problem description, which include a …
Anthropic announced on September 4 that its AI system produced a machine-checked proof of Fermat's Last Theorem in the Lean proof assistant, with the artifact publicly available under Apache-2.0. The …
Google DeepMind's AlphaProof solved three of five non-geometry problems at the 2024 International Mathematical Olympiad, a feat enabled by the formal language Lean, which provides a verifiable environ…
Anthropic announced on September 4, 2026 that Claude, working largely autonomously for 11 days, produced the first end-to-end computer-checked formalization of Fermat's Last Theorem: 13 million lines …
OpenAI released a Lean 4 formalization, GPT-6-Astra, proving that infinitely many pairs of consecutive primes are separated by at most 186, but the proof is conditional on three explicit axioms not ye…
Lean, a programming language created in 2013 by Leonardo de Moura, has grown into shared infrastructure for mathematics, with its community-built Mathlib library now exceeding two million lines of mac…
A developer has settled Zhi-Wei Sun's 2-4-6-8 conjecture (OEIS A306477) by finding a counterexample and formalizing the disproof in the Lean theorem prover. The work was completed in a Lean 4 project,…
A new pipeline called AViD Journal, described in an arXiv paper (arXiv:2608.14669v1), aims to automate novelty verification of mathematical theorems by formalizing LaTeX statements in Lean 4 and using…
Tanner Duve, Member of Technical Staff at Logical Intelligence, discusses formal verification, compilers in Lean, and AI-assisted math formalization in the first episode of a new interview series. The…
A new arXiv paper (2607.28632v1) introduces a three-stage pipeline using large language models to systematically discover major mathematical conjectures, with experiments showing 20 out of 20 candidat…
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…