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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,Σ,δ,q0,F)(Q, \Sigma, \delta, q_0, F) where:
QQ : A finite set of states
Σ\Sigma : A finite set of input symbols (alphabet)
δ\delta : A transition function δ:Q×(Σ{ϵ})2Q\delta: Q \times (\Sigma \cup \{\epsilon\}) \rightarrow 2^Q
q0q_0 : The start state, where q0Qq_0 \in Q
FF : A set of accept states, where FQF \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 ϵ\epsilon-transitions, which allow the machine to change states without consuming any input symbols.
Here is an example of an NFA with states Q={q0,q1,q2}Q = \{q_0, q_1, q_2\}, alphabet Σ={a,b}\Sigma = \{a, b\}, start state q0q_0, and accept state F={q2}F = \{q_2\}:
latex
This LaTeX code will generate a graph representing the NFA.

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