## What is the transition function of epsilon NFA?

Table of Contents

NFA with ε-moves In this kind of automaton, the transition function is additionally defined on the empty string ε. A transition without consuming an input symbol is called an ε-transition and is represented in state diagrams by an arrow labeled “ε”.

## Does epsilon bring any change in the automata?

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.

**Is the language preserved in all the steps while eliminating epsilon null transitions from a NFA?**

5. Is the language preserved in all the steps while eliminating epsilon transitions from a NFA? Explanation: Yes, the language is preserved during the dteps of construction: L(N)=L(N1)=L(N2)=L(3).

**Can you have epsilon transitions in a DFA?**

DFA doesn’t have epsilon transitions. If it had it, it could transit from current state to other state without any input i.e. with nothing , not even {} or phi. And as definition , we know that the input must be from the input set.

### What does E Transition mean in terms of e 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.

### Can a DFA have epsilon transitions?

**Is NFA and e NFA recognize exactly the same languages?**

Statement: Both NFA and e-NFA recognize exactly the same languages. Explanation: e-NFA do come up with a convenient feature but nothing new. They do not extend the class of languages that can be represented.

**What is the complement of the language accepted by the Nfanfa shown below assume ∑ ={ a ∑ ={ A and ΕΕ is the empty string?**

What is the complement of the language accepted by the NFA shown below? Explanation: The given alphabet contains only one symbol {a} and the given NFA accepts all strings with any number of occurrences of ‘a’. In other words, the NFA accepts a+. Therefore complement of the language accepted by automata is empty string.

## 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 −

## What is the ε transitions from DFA?

Conversion from NFA with ε to DFA. Non-deterministic finite automata(NFA) is a finite automata where for some cases when a specific input is given to the current state, the machine goes to multiple states or more than 1 states. It can contain ε move. It can be represented as M = { Q, ∑, δ, q0, F}.