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[Solved] Let B C String W Define Abc W String Obtained W Replacing Substring Occurrence Ac W Strin Q37294055

Let Σ := {a, b, c}. For any string w ∈ Σ∗ , defineABC(w) to be the string obtained from w by replacing each substringoccurrence of ac in w with the string abc (that is, inserting binto the middle of the substring ac). For any language L ⊆Σ∗ , define:

ABC(L) := {ABC(w) | w ∈ L}

Show that if L is regular, then ABC(L) is regular.

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