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At the Lean FRO, Kim Morrison, a Senior Research Software Engineer, recently ran an experiment that went well beyond our expectations. An AI agent converted zlib, a widely used C compression library embedded in countless systems, to Lean, with minimal human guidance. No special tooling was built. It was Claude, a general-purpose AI, with no special training for theorem proving, out of the box. The workflow had four steps. First, the AI produced a clean, readable Lean implementation of the zlib compression format, including the DEFLATE algorithm at its core. Second, the Lean version passed the library’s existing test suite, confirming behavioral equivalence. Third, key properties were stated and proved, not as tests, but as mathematical theorems. The capstone theorem:
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图片来自《UI Design and Interaction Guide for Windows Phone 7 Series》动态磁贴也是同样的思路。它本质上是在尝试让用户不必打开应用，就能在开始屏幕上看到天气、日程或未读消息。这种理念比后来流行的通知中心和小组件还要更早一步。但受限于后台机制和开发者投入，磁贴往往更新不及时、可定制程度也有限，很多应用最终只是把它当成会动的图标。可以说是理念超前，却没能完全落地。