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The steps in reversal of DFA are :-

  1. Make final state as initial state. If there are more than 1 final state, then make a new start state with epsilon transitions to these states.

  2. Change all initial states to final states

  3. Reverse the direction of edges.

Now what if I have a state which is both initial and final ? Will it be initial or final state in the reversed dfa?

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Yes. It will be both initial and final in the reversed automaton.

(Separately: If you want the reversed automaton to be a DFA, you may have to be a bit careful about your construction for reversing a DFA, as DFAs are not allowed to contain epsilon transitions.)

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