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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，详情可参考搜狗输入法下载
Обвиняемый в хищении миллиардов рублей у Минобороны России сделал признание08:42
Фото: @dusya_star
One of the pins is programmed to produce a constant 1000 KHz square wave using PIO. The main program then turns the PIO on and off at the intended frequency. e.g. to emit an A4 pitch (440 Hz), it turns the 1000 KHz square wave on and off 440 times a second. To the radio receiver, this means a 440 Hz square wave audio. Using this technique, it emits the well-known Shave and A Haircut melody on a loop.