Let 2 be the same as in Problem 1.33. Consider the top and bottom rows to
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Let Σ2 be the same as in Problem 1.33. Consider the top and bottom rows to be strings of 0s and 1s, and let E = {w ∈ Σ*2| the bottom row of w is the reverse of the top row of w}. Show that E is not regular.
Problem 1.33.
For any string w = w1w2 · · ·wn, the reverse of w, written wR, is the string w in reverse order, wn · · ·w2w1. For any language A, let AR = {wR| w ∈ A}. Show that if A is regular, so is AR.
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To show that a language is not regular we can use the pumping lemma for regular languages The ...View the full answer
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