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Homework #2 Due at 12:00 noon February 17 20, 2017 1. Part A: The string abc is used as input to the following NFA. Show the
computation as a tree whose nodes are configurations. In the tree, circle each accept configuration and underline each reject configuration. Part B: Same as part A, but the input is aba.
2. Use subset construction to convert the following NFA to an equivalent
DFA. The start state of the NFA is 1 and the only final state is 8. The name of each DFA state should be formed from the names of the corresponding NFA states in numerical sequence. Show the resultant DFA as a state diagram. In the state diagram, clearly indicate the start state and the final states of the DFA.
a b c 1 4 2 6 3 4 3 7 4 4 6 5 7 6 8 2 3, 5 7 5 1, 8 8 2 4 5
3. Use the algorithm discussed in the class to minimize the following DFA.
The start state of the given DFA is 1 and its final states are 5 and 8. The name of each state of the resultant minimum-state DFA should be formed from the names of the corresponding states of the given DFA in numerical sequence. Show the minimum-state DFA as a state diagram. In the state diagram, clearly indicate the start state and the final states of the minimum-state DFA.
a b c 1 5 2 6 2 9 3 8 3 9 1 8 4 9 6 5 5 6 5 7 6 9 4 5 7 8 2 4 8 4 8 1 9 9 9 9
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