I continue to review some of the usual suspects in complexity: P, NP, PSPACE, EXP and such. I then introduce two basic notions of reduction: polynomial-time many-one reductions (aka Karp reductions) and polynomial-time Turing reductions (aka Cook reductions). I conclude with some examples of NP-complete problems, including a first example from knot theory: the sub-unlink recognition problem.
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