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I don't think difficulty is complexity. For example, the bitcoin mining protocol complexity is the same but the difficulty goes up or down.

I'll attribute difficulty to the energy required to resolve a system. For example, pulling weight. The complexity of the action is the same. But the difficulty depends on the weights to pull.




Complexity is difficulty of understanding. In the context of mathematical problems, that is the relevant kind of difficulty.


It seems you’re vastly misusing the words and their contexts here.




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