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## 形式化验证的局限
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[[Terence Tao]] 在其论文中指出了形式化验证的两个关键局限:
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[[terence-tao]] 在其论文中指出了形式化验证的两个关键局限:
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### 1. 翻译问题
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Formal verification only certifies that a formalized argument establishes a formal mathematical statement, but does not rule out errors in translation between the formal statement and the original intended statement.
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@@ -41,14 +41,14 @@ Formal verification only certifies that a formalized argument establishes a form
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## AI 时代的意义
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[[Terence Tao]] 认为:
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[[terence-tao]] 认为:
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- AI 可以自动化形式化证明的生成
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- 但这可能产生 "odorless proofs"(无味证明):技术上正确,但缺乏启发性
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- 人类数学家需要专注于那些不容易自动验证的方面
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## 关联页面
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- [[Mathematical methods and human thought in the age of AI]] - 详细讨论
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- [[Terence Tao]] - 该概念的主要阐述者
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- [[lean-mathlib]] - 论文提及的大型形式化数学库
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- [[smell-test]] - "气味测试"概念
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- [[tao-klowden-ai-mathematical-methods]] - 详细讨论
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- [[terence-tao]] - 该概念的主要阐述者
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- [[automated-theorem-proving]] - 论文提及的大型形式化数学库
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- [[spurious-predictability]] - "气味测试"概念
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