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Let = {a,b}, and let L, L1, and L2 be languages over . For each statement below, decide whether it is true or false. If
Let = {a,b}, and let L, L1, and L2 be languages over . For each statement below, decide whether it is true or false. If it is true, prove it. If not, give a counterexample.
(a) If L1 L2 and L1 is not regular, then L2 is also not regular. (b) If L1 L2 and L2 is not regular, then L1 is also not regular.
(c) If L1 and L2 are not regular, then L1 L2 is also not regular. (d) If L is nonregular, then L is nonregular.
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