Yes, the set P is closed under union if for any two elements in P, their union is also in P.
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Yes, the set of non-deterministic polynomial time (NP) problems is closed under the operation of union.
No, the set of nonregular languages is not closed under intersection.
Having a closed under composition set in abstract algebra is significant because it means that when two elements in the set are combined using the operation defined, the result will also be an element in the set. This property is important for ensuring that the set forms a mathematical structure that follows the rules of the operation consistently.
a set of instructions of how to turn on the computer would be considered an algorithm?
yes.