Machine-Checked Proofs, and the Rise of Formal Methods in Mathematics

Abstract: The domains of mathematics and software engineering witness a rapid increase in complexity. As generative artificial intelligence emerges as a potential force in mathematical exploration, a pressing imperative arises: ensuring the correctness of machine-generated proofs and software constructs.
The Lean proof assistant addresses these challenges. Lean functions as an integrated development environment wherein mathematical proofs undergo interactive construction and verification. Concurrently, software undergoes mechanical verification. A salient feature of Lean is its inherent extensibility, permitting users to craft their …

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