Converting a Non-deterministic Finite Automaton (NFA) to a Deterministic Finite Automaton (DFA) involves creating an equivalent DFA that recognizes the same language as the original NFA. The goal is to eliminate the non-deterministic nature of the NFA and make the automaton deterministic.
Here are the steps for converting an NFA to a DFA:
Define the Power Set of States:
- For an NFA with �n states, the DFA will have 2�2n states, each representing a subset of states from the original NFA. This set of subsets is known as the power set of states.
Epsilon Closure:
- For each state in the DFA, determine its epsilon closure. The epsilon closure of a state is the set of states that can be reached from the original state by following epsilon (ε) transitions.
Transitions in the DFA:
- For each state in the DFA and each symbol in the alphabet, determine the set of states that can be reached by following transitions from states in the epsilon closure. This set becomes the next state in the DFA.
Final States:
- A state in the DFA is an accepting state if it contains at least one accepting state from the original NFA.