Question: Consider the language A given by the regular expression 001. Recall the equivalence relation A from the Myhill-Nerode theorem. Which of the following are true?

Consider the language A given by the regular expression 001. Recall the equivalence relation A from the Myhill-Nerode theorem. Which of the following are true? (Explain your answers) (a) 00 A 000 (b) 00 A 0001 (c) 00001 A 0001 (d) 00001 A 00011 (e) A is recognized by a DFA with only one accepting state. (f) A is recognized by an NFA with only one accepting state.

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