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Let : . Define Nerode machine for this . Prove that the transition function and output function of are well defined. Is the machine reduced?

Let image text in transcribed: image text in transcribed . Define Nerode machine image text in transcribed for this image text in transcribed . Prove that the transition function and output function of image text in transcribed 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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