(a) (b) (c) Design an NFA for the following language. (No proof is required for this...

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(a) (b) (c) Design an NFA for the following language. (No proof is required for this part) A = {x{a,b}* | For example, aa E A, aabaa E A, abbba & A. 22, the first two letters of a read the same as its last two letters) Design a DFA for A using the subset construction game applied to the NFA. "Prove" that A is regular. (a) (b) (c) Design an NFA for the following language. (No proof is required for this part) A = {x{a,b}* | For example, aa E A, aabaa E A, abbba & A. 22, the first two letters of a read the same as its last two letters) Design a DFA for A using the subset construction game applied to the NFA. "Prove" that A is regular.