The reverse of a string x denoted by rev(x) and is defined by the following recursive rule: •rev(ε) = ε •rev(xa) = a.rev(x) Prove that if A is a regular set then so is the following set: rev(A) = {rev(x) : x ∈A}

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The reverse of a string x denoted by rev(x) and is defined by the following recursive
rule:


•rev(ε) = ε
•rev(xa) = a.rev(x)


Prove that if A is a regular set then so is the following set:
rev(A) = {rev(x) : x ∈A}

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