Question: Help me prove this Let beta: X^+ rightarrow Y. Define the Nerode machine M_beta for this beta. Prove that the transition function and output function

Help me prove this
Let beta: X^+ rightarrow Y. Define the Nerode machine M_beta for this beta. Prove that the transition function and output function of M_beta are well defined. Is the machine reduced? If so prove it, else give a counterexample. What is the significant of the Myhill-Nerode theorem? Let beta: X^+ rightarrow Y. Define the Nerode machine M_beta for this beta. Prove that the transition function and output function of M_beta are well defined. Is the machine reduced? If so prove it, else give a counterexample. What is the significant of the Myhill-Nerode theorem
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