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Exercise 1 0 . 1 . 7 : N P is also closed under each of the operations listed for P in Exercise 1 0

Exercise 10.1.7: NP is also closed under each of the operations listed for P
in Exercise 10.1.6, with the (presumed) exception of (f) complementation. It is
not known whether or not NP is closed under complementation, an issue we
discuss further in Section 11.1. Prove that each of Exercise 10.1.6(a) through
(e) holds for NP.
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