What is DFA in TOC with examples| Deterministic Finite Automata(DFA)|TOC|FLAT| Automata
There is a single (unique) transition from one state to other with a single input alphabet, then that Automata is called as Deterministic Finite Automata (...
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There is a single (unique) transition from one state to other with a single input alphabet, then that
Automata is called as Deterministic Finite Automata (DFA).
In DFA, each and every state
should
contain exactly one out degree for
each input symbol of alphabet.
It is represented as 5 tuples.
M = (Q, ๐ฎ, ๐น, qo, F)
Where,
Q โ Set of finite states
๐ฎ โ Set of input alphabet
qo โ Initial state
F โ Set of final states
๐น โ Transition function or mapping functions
defined as ๐น: Q ร ๐ฎ โ Q
Consider the following example:
DFA for starting with a over ๐ด = {a,b}
Representation of DFA:
Transition diagram:
Q = {A, B, C} qo = A F = { B } ๐ด = { a,b}
Transition function:
๐น: Q ร ๐ฎ โ Q
๐ฟ(๐ด, ๐) โ ๐ต, ๐ฟ(๐ด, ๐) โ ๐ถ
๐ฟ(๐ต, ๐) โ ๐ต , ๐ฟ(๐ต, b) โ ๐ต
๐ฟ(๐ถ, ๐) โ ๐ถ , ๐ฟ(๐ถ, ๐) โ C
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