Question: Let M = ({ q 0 ,q 1 ,q 2 } , { a,b } ,,q 0 , { q 1 }) be the DFA

Let M = ({q0,q1,q2},{a,b},,q0,{q1}) be the DFA with transition table:

a

b

q0

q0

q1

q1

q1

q2

q2

q2

q2

The initial state is q0 and the set of accepting states is F = {q1}.[MN1]

  1. Construct the state diagram for M.
  2. Compute (q0,aab).
  3. Compute (q0,abb).
  4. Determine whether the word w = aab is accepted by M.
  5. Compute L(M).

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