# EQUIVALENCE OF DFA AND NFA PDF

languages are the same. – For M. 1., M. 2., L(M. 1.) = L(M. 2.) • DFAs and NFAs: – For every NFA there is an equivalent DFA. (we’ll prove this) and vice-versa. Problem Statement. Let X = (Qx, ∑, δx, q0, Fx) be an NDFA which accepts the language L(X). We have to design an equivalent DFA Y = (Qy, ∑, δy, q0, Fy) such. To show this we must prove every DFA can Consider the NFA that accepts binary strings ending with The key idea for building an equivalent DFA is to.

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### NDFA to DFA Conversion

The theory of computation is a branch of computer science that deals with how problems are solved using algorithms. It has three branches, namely; the computational complexity theory, the computability theory, and the automaton theory. The automaton or automata theory is the study of abstract mathematical machines or systems that can nfs used to solve computational problems.

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An automaton is made up of states and transitions, and as it sees a symbol or letter of input, it eqyivalence a transition to another state taking the current state and symbol as input.

In transition, DFA cannot use n empty string, and it can be understood as one machine. If the string ends at a state that is not an acceptable state, DFA will reject it.

DFA only has one state transition for every symbol of the alphabet, and there is only one final state for its transition which means that for each character that is read, there is one corresponding state in DFA. It is easier to check membership in DFA but it is more difficult to construct. While it is possible in some cases, in others it is not.

It is easier to construct NFA, and it also requires less space, but it is not possible to construct an NFA machine for every input and output. It is understood as several tiny machines that compute simultaneously, and membership can be harder to check.

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### Explain with example equivalence between NFA and DFA

It uses Empty String Transition, and there are numerous possible next states for each pair of state and input symbol. It starts at a specific state and reads the symbols, and the automaton then determines the next state which depends on the current input and other consequent events.

At its accepting state, NFA accepts the string and vfa it otherwise.

Download our mobile app and study on-the-go. You get question papers, syllabus, subject analysis, answers – dfq in one app. These two classes are transition functions of automata or automaton.

A DFA machine can be constructed with every input and output. Backtracking is not always allowed in NFA. Engineering in your pocket Download our mobile app and study on-the-go.

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