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Context-Free Languages are closed under which of the following operations?a.Kleene starb.Concatenationc.Complementationd.Intersection

Question

Context-Free Languages are closed under which of the following operations?

a. Kleene star
b. Concatenation
c. Complementation
d. Intersection

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Solution

Context-Free Languages are closed under the following operations:

a. Kleene star: Yes, context-free languages are closed under the Kleene star operation. This means that if you have a context-free language, you can apply the Kleene star operation to it and the result will still be a context-free language.

b. Concatenation: Yes, context-free languages are also closed under concatenation. This means that if you concatenate two context-free languages, the result will still be a context-free language.

c. Complementation: Yes, context-free languages are closed under complementation. This means that the complement of a context-free language is also a context-free language.

d. Intersection: No, context-free languages are not closed under intersection. This means that the intersection of two context-free languages may not be a context-free language.

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