过了腊月二十三，家家都忙于过年的准备了。青石碾子一天到晚叫个不停。我们守住碾盘，就是希望“捡”到谁家不小心留下的笤帚或炊帚，上学放学都要拐到这里踅摸一下。虽然十有八九会落空，但乐此不疲。除了蹲守碾盘子，还有人往生产队的饲养场跑。胆大些的潜伏到队部饲养大牲畜的地方，查看饲养员有没有把炊帚疙瘩遗失在牲口槽子里。牲口槽子都是花岗岩凿出来的，像一条小水渠。牲口吃东西时挑挑拣拣，把不爱吃的拱到一边。那年月饲料金贵，就用小炊帚把渠沟或渠背的东西归拢到一处。女孩子胆小，一趟一趟往猪圈跑。喂猪的爷爷已经很老了，老了的标志，就是有时会把秃了毛的炊帚疙瘩落在猪食槽子里。看到孩子们欣喜若狂地把炊帚疙瘩捡走，爷爷会高兴地骂一句“兔崽子”。
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Testing and proof are complementary. Testing, including property-based testing and fuzzing, is powerful: it catches bugs quickly, cheaply, and often in surprising ways. But testing provides confidence. Proof provides a guarantee. The difference matters, and it is hard to quantify how high the confidence from testing actually is. Software can be accompanied by proofs of its correctness, proofs that a machine checks mechanically, with no room for error. When AI makes proof cheap, it becomes the stronger path: one proof covers every possible input, every edge case, every interleaving. A verified cryptographic library is not better engineering. It is a mathematical guarantee.
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