From Intuition to Verification: How Lean Theorem Prover Transforms Mathematical Proofs into Computable Types
A mathematician's journey from struggling with abstract proofs to gaining clarity through the Lean theorem prover reveals a profound shift in understanding mathematics. By treating logical statements as types via the Curry-Howard correspondence, Lean makes proofs verifiable by computers, demystifying the creative process. This approach not only enhances precision in mathematical reasoning but also opens doors for developers and researchers to integrate formal verification into software and AI systems.