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The paper introduces FrontierMath Erdős, a benchmark of 68 open Erdős problems for evaluating AI models in mathematics using Lean proof assistant, aiming to address shortcomings in current AI research demonstrations.
This paper presents a case study where a mathematician directed an AI to formalize the mean-field derivation of the Vlasov equation in the Lean proof assistant, framing the process as a strategy game. The formalization was completed in about a month, with the AI executing proofs under human guidance.