Question: Problem 5 [10 points] Let B-{(R> | R is a regular expression describing a language containing at least one string w that has 111 as

Problem 5 [10 points] Let B-{(R> | R is a regular

Problem 5 [10 points] Let B-{(R> | R is a regular expression describing a language containing at least one string w that has 111 as a substring (i.e., w = 111y for some r and y)). Prove that B is decidable by giving a decider for it. Hint: Your TM should construct one or more DFAs and use a decider for a language we've already shown to be decidable as a subroutine.]

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