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Fix the alphabet to be = {a,b}. For each of the conditions below, give an example of a language L on the alphabet that

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Fix the alphabet to be = {a,b}. For each of the conditions below, give an example of a language L on the alphabet that satisfies the condition. Briefly justify why your example satisfies the condition. (a) L* L and L is infinite. = (b) L* = L and L is finite. (c) L* L and L is infinite. (d) L* L and L is finite.

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