Myhill graph of the automaton, Theory of Computation

Exercise:  Give a construction that converts a strictly 2-local automaton for a language L into one that recognizes the language Lr. Justify the correctness of your construction. (That is, verify that the language that is recognized by the automaton your construction produces is actually the reversal of the language the given automaton recognizes.) What is the effect of your construction on the Myhill graph of the automaton?

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Another way of representing a strictly 2-local automaton is with a Myhill graph. These are directed graphs in which the vertices are labeled with symbols from the input alphabet of


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