Dozens of AI Agents Tackle a Monumental Mathematical Feat in 24 Days, Revealing a 40-Year-Old Flaw in Established Reasoning
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Author:小编   

In a remarkable display of computational prowess, dozens of AI agents accomplished the formalization of the Classification of Finite Simple Groups theorem using the Lean framework within a mere 24 days. This theorem, which had previously been the life's work of hundreds of eminent mathematicians over several decades and was documented across more than 500 research papers, was now systematically reconstructed by AI. The result? Approximately 43.1 million lines of rigorously computer-verifiable code and 2.05 million formalized mathematical statements, culminating in the first-ever computer-checked proof that encompasses the entire classification theorem.

During the formalization process, the AI agents meticulously combed through the existing literature and identified 34 instances of inconsistencies in documentation. More significantly, they uncovered a flaw in the theorem's related research that had gone unnoticed for nearly 40 years. Beyond merely pointing out errors, the AI also played a pivotal role in constructing new results within group theory, thereby enriching the mathematical landscape.

This monumental formalization achievement is firmly grounded in standard axioms, leaving no room for placeholders or unfinished proofs. It has been made entirely accessible to the public, embodying the principles of open science. By integrating disparate mathematical reasoning into a cohesive formal system, the project enables mechanical verification, traceability, reusability, and extensibility. This, in turn, significantly eases the burden of verifying related literature when citing the theorem, marking a substantial leap forward in mathematical research and collaboration.