In Exercises, let A = {a, b, c}. In each exercise a string in A* is listed and a regular e...

In Exercises, let A = {a, b, c}. In each exercise a string in A* is listed and a regular expression over A is given. In each case, tell whether or not the string on the left belongs to the regular set corresponding to the regular expression on the right.

Exercise

(a) ac a*b*c

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(b) abcc (abc  c)*

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(c) aaabc ((a  b)  c)*