#UGCNET2019, #RTU-CSE
#Theory_of_Computation OR #Finite_Automata Introduction:-
Finite Automata is the simplest machine to recognize patterns.
A Finite Automata consists of the following :
Q : Finite set of states.
∑ : set of Input Symbols.
q : Initial state.
F : set of Final States.
δ : Transition Function.
Formal specification of machine is
Q, ∑, q, F, δ
Deterministic Finite Automata -DFA
DFA consists of 5 tuples - Q, ∑, q, F, δ
Q : set of all states.
∑ : set of input symbols. Symbols which machine takes as input.
q : Initial state. Starting state of a machine .
F : set of final state.
δ : Transition Function, defined as δ : Q X ∑ = Q.
In a DFA, for a particular input character, the machine goes to one state only.
A transition function is defined on every state for every input symbol.
Also in DFA null or ε-move is not allowed, i.e.,
DFA cannot change state without any input character.
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