Unverified50% confidenceFactExact time
Early automated theorem provers such as formal proof assistants Coq, Lean, and Isabelle primarily rely on symbolic reasoning and exhaustive search; they excel at verifying the correctness of known proofs but lack creativity.
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50%
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Long-term
Relevance
9/10/2026
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Related Claims
UnverifiedTheorem provers such as Lean, Coq, and Isabelle require every reasoning step to be translated into strict logical notation and automatically checked for compliance.79% similarUnverified形式化证明系统（如Lean、Coq、Isabelle）要求将证明写成计算机可逐步检验的代码，任何逻辑跳跃都会触发编译错误78% 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.78% similarUnverifiedFormal proof systems (such as Lean, Coq, and Isabelle) require every reasoning step to conform to a predefined axiomatic system and be mechanically verified by computer78% similarUnverifiedFormal verification tools such as Lean and Coq can be used to verify complete mathematical proofs generated by AI, thereby guaranteeing their correctness in a mathematical sense.75% similar
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