Question

Computer Science

Posted 2 months ago

`Tell me the concept of Nondeterministic Finite Automata`

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Answer from Sia

Posted 2 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:

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$Q$ : A finite set of states

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

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

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

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$F$ : 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.

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