remove epsilon from nfa


What is an NFA with Epsilon transitions?

    A FA with epsilon transitions is normally called an NFA, because there is a point where you can validly be in two states (and thus, which state you are in is not deterministic). However, you could construct an NFA such that the states that are joined by the epsilon transition have disjoint edges leading out of them.

Is epsilon move allowed in DFA?

    Epsilon move isn't allow in DFA, because it'll change DFA into NFA. For e.g., suppose you are in state Q1, and you have a transition (Q1, e) = Q2, in this case you can directly go to Q2 without apply any input or you can stay in Q1 state, so you have two choosing opportunity at state Q1. In case of DFA you mustn't have any choosing criteria.

How to get rid of Epsilon transitions?

    There are a variety of ways to do it. Avihoo Ilan's answer suggests a very simple (and effective) way, especially, if all you care is that the resulting machine is simply an NFA. However, often the point of getting rid of epsilon transitions is to turn an NFA into a DFA.

What is an NFA m?

    An NFA M is a 5-tuple M = (Q, ?, ?, q0, F), where: Q is the finite set of states ? is the alphabet (that is, a finite set of symbols) ? ? (Q × (??{?}) ? P(Q) is the transition function q0 ? Q is the start state F ? Q is the set of accepting states
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