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English(EN) …Thus, a verified # Lean proof is not automatically a verification of the original natural-language proof. It verifies the formal statement and proof that ended

Lean证明系统验证形式化数学,而非AI翻译的准确性

Lean证明验证系统可以确认形式化数学陈述的正确性,但它不能自动验证翻译成形式化代码的原始自然语言论证的准确性。这一区别至关重要,因为AI模型在翻译过程中可能会改变底层的数学推理,即使最终的形式化证明是有效的。人类的监督对于确保AI的翻译准确反映原始意图仍然是必要的。 AI

影响 强调了对AI生成的数学证明进行人工验证的必要性,表明当前AI在翻译过程中保留细微推理能力方面的局限性。

排序理由 该集群讨论了AI翻译对形式化数学证明的影响,这是一篇观点或分析文章,而不是直接的发布或研究发现。

在 Mastodon — mastodon.social 阅读 →

AI 生成摘要 · Google Gemini · 来自 2 个来源。 我们如何撰写摘要 →

Lean证明系统验证形式化数学,而非AI翻译的准确性

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该集群讨论了AI翻译对形式化数学证明的影响,这是一篇观点或分析文章,而不是直接的发布或研究发现。
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报道来源 [2]

  1. Mastodon — mastodon.social TIER_1 English(EN) · FabMusacchio ·

    …因此,一个经过验证的# Lean证明并不自动是对原始自然语言证明的验证。它验证的是最终的正式陈述和证明

    …Thus, a verified # Lean proof is not automatically a verification of the original natural-language proof. It verifies the formal statement and proof that ended up in Lean. Whether the # AI translated the original argument correctly is a separate problem, and currently still requ…

  2. Mastodon — mastodon.social TIER_1 English(EN) · FabMusacchio ·

    RE: https:// mastodon.social/@h4ckernews/11 7400527816149038 NaviesStokes 翻译失误:# Lean 可以完美验证形式化证明,而 # AI

    RE: https:// mastodon.social/@h4ckernews/11 7400527816149038 NaviesStokes lost in translations: # Lean can verify a formal proof perfectly well, while the # AI may have changed the actual # mathematical argument during translation. The authors find exactly this in # OpenAI ’s rec…