Question: 3. (10 points) Consider the following computational problems over a fixed alphabet . ADFA = {(A, w) | A is a DFA over ,

3. (10 points) Consider the following computational problems over a fixed alphabet . ADFA = {(A, w) | A is a DFA over , w *, w L(A)} ==== EDFA {(A) | A is a DFA over , L(A) = 0} EQDFA = {(A, B) | A and B are DFAs over and L(A) = L(B) } SUBDFA = {(A, B) | A and B are DFAs over and L(A) CL(B)} ALLDFA = {(A) | A is a DFA over , L(A) = *} INFDFA = {(A) | A is a DFA over , L(A) is (countably) infinite} a. Find all subset relations between distinct sets in this list. That is, determine when?? DFA b. Find all pairs of sets in this list that are not disjoint. That is, determine when??DFA ??DFA ??DFA 0.

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