EPISODE · Mar 5, 2026 · 18 MIN
高德纳：Claude的循环与哈密顿分解
from 生命哲学
这篇文章记述了计算机科学家高德纳（Don Knuth）对 Claude 4.6 模型解决复杂数学难题的惊喜发现。该问题涉及将特定有向图的弧分解为三个哈密顿圈，曾长期困扰着研究者。在好友的协助下，通过对人工智能进行分步骤的启发式引导，Claude 成功推导出适用于所有大于 2 的奇数阶数的通用构造方案。高德纳通过严谨的数学证明验证了 AI 程序的正确性，并进一步探讨了此类解法的广义性质。尽管模型在处理偶数阶数时仍面临挑战，但这标志着生成式 AI 在自动化推理与创造性问题解决领域迈出了重要一步。前往小宇宙评论区与主播互动
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高德纳：Claude的循环与哈密顿分解
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