Lean Only Verifies Compilation, Not Mathematical Statements, Expert Warns
AlexKontorovich · x · 2026-08-02
Addressing the idea that Lean automatically verifies math, mathematician Alex Kontorovich pointed out in his ICM talk that Lean only verifies code compilation. Thus, it ensures a correct proof exists for the given statements, but it cannot verify if those statements accurately reflect the intended natural language argument. This is not a problem solvable in silico, ultimately requiring fallible LLMs or humans to judge.
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