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NFA
NFA (Non-Deterministic Finite Automaton): A Non-Deterministic Finite Automaton (NFA) is a formal mathematical model used to represent and analyze a wide ran...
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NFA (Non-Deterministic Finite Automaton): A Non-Deterministic Finite Automaton (NFA) is a formal mathematical model used to represent and analyze a wide ran...
NFA (Non-Deterministic Finite Automaton):
A Non-Deterministic Finite Automaton (NFA) is a formal mathematical model used to represent and analyze a wide range of real-world systems, including language processing, computer science, and modeling biological processes.
An NFA is comprised of the following components:
States: A finite set of distinct states representing different situations or decisions.
Transitions: A set of rules specifying how the machine transitions between states based on specific inputs or conditions.
Initial state: The starting state from which the machine initiates its computation.
Final states: A subset of states that the machine can reach from the initial state through a sequence of transitions.
Alphabet: A finite set of symbols representing the possible input characters or strings recognized by the machine.
An NFA can be represented as a directed graph where nodes represent states, edges represent transitions, and the initial and final states are marked.
Example:
Consider a simple NFA for a language like "Hello, World!".
States: {Initial, "Hello", "World", "Goodbye"}
Transitions:
From "Initial" to "Hello": input "H" triggers transition.
From "Hello" to "World": input "e" triggers transition.
From "Hello" to "Goodbye": input "w" triggers transition.
Initial state: "Initial"
Final state: "Final"
This NFA recognizes the language "Hello, World!" by transitioning between states based on the input sequence