## What is NFA with epsilon moves?

Non-deterministic Finite Automata (NFA) is a finite automata having zero, one or more than one moves from a given state on a given input symbol. Epsilon NFA is the NFA which contains epsilon move(s)/Null move(s)….Conversion of Epsilon-NFA to NFA.

States/Input | Input 0 | Input 1 |
---|---|---|

q4 | q2 | – |

**Can we use epsilon in NFA?**

The NFA with epsilon-transition is a ﬁnite state machine in which the transition from one state to another state is allowed without any input symbol i.e. empty string ε.

### How do I remove epsilon moves from NFA?

How to convert NFA with epsilon to without epsilon?

- Step 1 − Find out all the ε-transitions from each state from Q.
- Step 2 − Then, 𝛿1 transitions can be obtained.
- Step 3 − Step 2 is repeated for each input symbol and for each state of given NFA.

**Why are epsilon transitions useful?**

An epsilon transition (also epsilon move or lambda transition) allows an automaton to change its state spontaneously, i.e. without consuming an input symbol. It may appear in almost all kinds of nondeterministic automaton in formal language theory, in particular: Nondeterministic Turing machine.

#### Does epsilon makes any change in the automata?

Explanation: It adds nothing new to the automata.

**What do you mean by ε closure of a state in NFA with epsilon moves explain with an example?**

The ε closure(P) is a set of states which are reachable from state P on ε-transitions. The epsilon closure is as mentioned below − ε-closure (P) = P, where P ∈ Q. If there exists ε-closure (P) = {q} and 𝛿(q, ε) =r then, ε-closure (P) = {q, r}

## How is NFA with epsilon different from NFA?

NFA refers to Nondeterministic Finite Automaton. A Finite Automata(FA) is said to be non deterministic, if there is more than one possible transition from one state on the same input symbol…….What is the difference between DFA NFA and Epsilon NFA?

SR.NO. | DFA | NFA |
---|---|---|

9 | All DFA are NFA. | Not all NFA are DFA. |

10 | DFA requires more space. | NFA requires less space then DFA. |

**What do you understand by epsilon closure NFA describe its applicability with example?**

Epsilon (∈) – closure : Epsilon closure for a given state X is a set of states which can be reached from the states X with only (null) or ε moves including the state X itself.

### How do we convert NFA with ε to DFA?

How to convert NFA with epsilon to DFA in TOC?

- Step 1 − Consider M={Q, Σ, δ,q0,F) is NFA with ε. We have to convert this NFA with ε to equivalent DFA denoted by.
- Step 2 − We will obtain δ transition on [p1,p2,p3,… pn] for each input.
- Step 3 − The state obtained [p1,p2,p3,… pn] ∈ Q0 .
- The DFA diagram is as follows −