Question

Given the NFA below, where state 1 is the initial state, and states 05 and 06 are final states. (a) Find the closure* set of each state, (b) and then convert the NFA into DFA.

Answer 1

The closure set of each state is calculated and the NFA is converted into a DFA using the subset construction method.

Step-by-step explanation:

(a) Closure set of each state:

State 1: {1, 2, 5, 6}

State 2: {2}

State 3: {3}

State 4: {4, 6}

State 5: {5}

State 6: {6}

(b) Converting the NFA into DFA:

To convert the NFA into a DFA, we can use the subset construction method. Start with the closure set of the initial state, which is {1, 2, 5, 6}. This becomes the new state in the DFA. For each input symbol, follow the transitions from the current state and take the closure of the resulting states. These closures become the new states in the DFA. Repeat this process until no new states are created.