Question: Let Lsw | w ends with 110 be a language that is defined over [0, 1)* Consider the indistinguishability equivalence relation EL on strings in

Let Lsw | w ends with 110 be a language that

Let Lsw | w ends with 110 be a language that is defined over [0, 1)* Consider the indistinguishability equivalence relation EL on strings in * that we studied in the context of lyhil - eorde theorem. (a) (7 points) What are the equivalence classes of 0,1 of this equivalence relation with respect to L? Why? (Hint: Note that for all strings w with lur! > 4, w x for some string r of length 3,) b) (4 points) What are the equivalence classes of this equivalence relation with respect to Z, the complement of L? Justify your answer (c) (4 points) Describe a DFA for L as defined in Myhill-Nerode theorem using these equivalence classes

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