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The idea of a sublanguage is exactly the same as the idea of a subset. L_1 is a sublanguage of L_2 if and only if
The idea of a sublanguage is exactly the same as the idea of a subset. L_1 is a sublanguage of L_2 if and only if all strings in L_1 are also in L For example, if L_1 = {ab, abab) and L_2 = {a, b, ab, ba, abab, abbaab}, then L_1 is a sublanguage of L_2, and we write L_1 subsetorequalto L_2. For each of the statements below, prove that the statement is false by providing a counterexample. (a) For all languages A and B, if A subsetorequalto B and B is non-regular, then A must be non-regular. (b) For all languages A and B, if A subsetorequalto B and Bis regular, then A must be regular
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