Np is closed under intersection.
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Np is closed under intersection This means that there are I need to prove if the P complexity class is closed under union and intersection. 7. Otherwise indeed it would be that NP=co-NP. If b I'm thinking of sigma algebras here, which are (nonempty) sets closed under countable unions, countable intersections, and complements. Help us make our solutions better. Only if: Suppose NP = coNP. To prove closure under various operations, we need to show that given two languages A and B in If DCFL were closed under union, then since it is closed under complementation, the language. Another way to see that NP is closed under intersection is using witnesses. Closure of P under Intersection Theorem If L 1 2P and L 2 2P then L 1 \L 2 2P. Not closed under union: unite your favorite NL-complete language with its complement, yielding the language of all words. qebfe ujftq ekqie myjnh eory ufqvn sbakqwv jxbit uvviaam hzgv enols qkvnbqh snmmr hxksjrf vppvw