Question: Let L be any language. We define L0 = {reverse(x)|x 2 L}. (For example, if L = {b, baa, aaabb, aabba}, then L0 = {b,

  1. Let L be any language. We define L0 = {reverse(x)|x 2 L}. (For example, if L = {b, baa, aaabb, aabba}, then L0 = {b, aab, bbaaa, abbaa}.)

    1. (a) Prove that for any language L, if there is an FA that accepts L, then there is a TG that accepts L0.

    2. (b) Prove that for any language L, if there is a TG that accepts L, then there is a TG that accepts L0.

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