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Problem 2. Let R1 and R2 be two regular expressions, 1. Is always the case that L(((R)*)I ((R2)L((R) | (R2))*)? 2. Is it always the

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Problem 2. Let R1 and R2 be two regular expressions, 1. Is always the case that L(((R)*)I ((R2)L((R) | (R2))*)? 2. Is it always the case that LCC (R1)") . ( (R2) *) ) = L( ( (R1) . (R2) )*)? 3. Is it always the case that L(((R1)"! (R2)")") =L(((RJI (R2 ))")? 4. Is it always the case that L( (R1*)*) = L( (R,)")? In each case explain why the statement is true or provide a counter example

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