Question: Consider the language A 2 { 0 , 1 } defined as A 2 = { w | w begins and ends with the same

Consider the language A2{0,1}
defined as
A2={ w | w begins and ends with the same symbol. }
Therefore 010 in A2 whereas 110 in / A2. Also, since the string does not have a beginning or ending
symbol, / in A2. Prove that any DFA recognizing A2 has at least 5 states.

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