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Formal Definition of A Finite Automaton: F Is A Set of Final State/states of Q (F Q

A finite automaton is a machine that can be represented by a 5-tuple consisting of a finite set of states Q, a finite alphabet of symbols Σ, a transition function δ, an initial state q0 from which input is processed, and a set of final states F that is a subset of the set of all states Q.

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0% found this document useful (0 votes)
66 views1 page

Formal Definition of A Finite Automaton: F Is A Set of Final State/states of Q (F Q

A finite automaton is a machine that can be represented by a 5-tuple consisting of a finite set of states Q, a finite alphabet of symbols Σ, a transition function δ, an initial state q0 from which input is processed, and a set of final states F that is a subset of the set of all states Q.

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Shaista Saeed
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number of states is called a Finite Automaton (FA) or Finite State Machine (FSM).

Formal definition of a Finite Automaton

An automaton can be represented by a 5-tuple (Q, ∑, δ, q 0, F), where −


 Q is a finite set of states.
 ∑ is a finite set of symbols, called the alphabet of the automaton.
 δ is the transition function.
 q0 is the initial state from where any input is processed (q 0 ∈ Q).

F is a set of final state/states of Q (F ⊆ Q

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