Unverified50% confidenceFactExact time
Lean formal verification only checks whether the mathematical logic within the framework is internally consistent; it does not check whether the framework itself or the premises it relies on have been correctly set up.
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9/11/2026
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UnverifiedThe core principle of formal verification tools is type theory or higher-order logic, which transforms mathematical correctness into a mechanically checkable computational problem.76% similarUnverifiedThe Lean formal proof assistant operates on the basis of type theory and the Curry–Howard correspondence, and every proof step must be verified by the kernel's type checker73% similarUnverifiedTheorem provers such as Lean, Coq, and Isabelle require every reasoning step to be translated into strict logical notation and automatically checked for compliance.72% similarUnverifiedOnly when a proof passes the rigorous type-checking of proof assistants such as Lean can its conclusions be trusted; combining AI output with formal verification tools is the key pathway to ensuring mathematical correctness.71% similarUnverified形式化验证工具通常面临表达能力与可扩展性的权衡，可验证的断言类型受限于工具本身的理论支持71% similar
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