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by philwelch 6221 days ago
There's a bit of confusion here. Saying the traveling salesman problem is NP-complete means more than simply it has a P verification. Saying the traveling salesman problem is in NP implies it has a P verification. But saying that it is NP-complete implies that, in addition to being in NP, any other NP problem can be (deterministic-polynomially) translated into it.