Verifiable Loops
Posted on January 25, 2026
On January 7, Terence Tao posted about an Erdős problem being solved "more or less autonomously by AI." The key was Lean - a formal proof language that can mechanically verify mathematical arguments. Tao observed: "The combination of reasonably competent AI text generation and modification capabilities, paired with the ability of formal proof assistants to verify the informal arguments thus generated, allows for a much more dynamic and high-multiplicity conception of what a writeup of an argument...




