Question

Computer Science

Posted 5 months ago

`Tell me the concept of Nondeterministic Finite Automata`

Sign in to unlock the answer

Answer from Sia

Posted 5 months ago

Nondeterministic Finite Automata (NFA) is a theoretical model of computation used in computer science to represent and manipulate a set of strings.

An NFA is defined by a 5-tuple $(Q, \Sigma, \delta, q_0, F)$ where:

▪

$Q$ : A finite set of states

▪

$\Sigma$ : A finite set of input symbols (alphabet)

▪

$\delta$ : A transition function $\delta: Q \times (\Sigma \cup \{\epsilon\}) \rightarrow 2^Q$

▪

$q_0$ : The start state, where $q_0 \in Q$

▪

$F$ : A set of accept states, where $F \subseteq Q$

The key difference between DFA and NFA is that in an NFA, for a given state and input symbol, the machine can transition to any number of possible next states, including zero. Additionally, NFAs can have $\epsilon$-transitions, which allow the machine to change states without consuming any input symbols.

Here is an example of an NFA with states $Q = \{q_0, q_1, q_2\}$, alphabet $\Sigma = \{a, b\}$, start state $q_0$, and accept state $F = \{q_2\}$:

latex

This LaTeX code will generate a graph representing the NFA.

Not the question you are looking for? Ask here!

Enter question by text

Enter question by image

Unlock Smarter Learning with AskSia Super!

Join Super, our all-in-one AI solution that can greatly improve your learning efficiency.

30% higher accuracy than GPT-4o

Entire learning journey support

The most student-friendly features

Study Other Question