Question: 3. Let L be any language. We define L' = {reverse(x)|x L}. (For example, if L = {b, baa, aaabb, aabba}, then L' = {b,

3. Let L be any language. We define L' = {reverse(x)|x L}. (For example, if L = {b, baa, aaabb, aabba}, then L' = {b, aab, bbaaa, abbaa}.) (a) Prove that for any language L, if there is an FA that accepts L, then there is a TG that accepts L'. (b) Prove that for any language L, if there is a TG that accepts L, then there is a TG that accepts L'.

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