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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（三）船舶营运收入，包括运费、租金、旅客票款；
It’s kind of difficult to trace what’s happening here, so let’s split up the state for each key. Note, though, that this is just a visualization aid; the full state is still being transmitted as a single unit.