Question: 4. (25 points) Consider the following set defined recursively over = {a,b}. Write A as a regular set. (20 points). Explain your answer. (5 points)

4. (25 points) Consider the following set defined recursively over =

4. (25 points) Consider the following set defined recursively over = {a,b}. Write A as a regular set. (20 points). Explain your answer. (5 points) No points will be given if an explanation is not provided. (i) Basis: EA (ii) Recursive step: If w A, then aaw e A and wbb A. (iii) Closure: A consists of exactly the elements that can be obtained by starting with the basis elements of A and applying the recursive step a finite number of times to construct the new elements of A

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