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1. (a) Design an NFA for the following language. (No proof is required for this part) A = {x {a,b}* | || > 2, the

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1. (a) Design an NFA for the following language. (No proof is required for this part) A = {x {a,b}* | || > 2, the first two letters of x read the same as its last two letters) (b) (c) For example, aa A, aabaa A, abbba & A. Design a DFA for A using the subset construction game applied to the NFA. "Prove" that A is regular

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