Verified80% confidenceFactExact time
Lean requires that every step of derivation be written in a strict type-theoretic language, with logical completeness automatically verified by a computational kernel.
4
Sources
80%
Confidence
Long-term
Relevance
7/15/2026
First Seen
Sources
Related Claims
VerifiedTheorem provers such as Lean, Coq, and Isabelle require every reasoning step to be translated into strict logical notation and automatically checked for compliance.81% similarVerifiedLean is based on dependent type theory and expresses proofs and programs in a unified manner.78% 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 checker78% similarVerifiedInteractive theorem provers such as Lean, Coq, and Isabelle allow proof steps to be encoded in machine-verifiable formal languages74% similarUnverified形式化验证工具的核心原理是类型论或高阶逻辑，将数学正确性转化为可机械检验的计算问题71% similar
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