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Questions about mathematical devices that read an input stream symbol by symbol and use a state transition map to produce an output stream, maybe using secondary storage.
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Describe construction of finite automata that accepts the language Double-Letter(L)
This a hand drawn solution to your problem, I'll explain the transitions,
Before you see the diagram, note that those are not 2 different DFAs, but I have drawn one more transition of states q1, q3, …