Understanding DFA in Theory of Computation with Examples 🤖

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, 𝜮, 𝜹, qo, F)
Where,
Q → Set of finite states
𝜮 → Set of input alphabet
qo → Initial state
F → Set of final states
𝜹 → Transition function or mapping functions
defined as 𝜹: Q × 𝜮 → Q
Consider the following example:
DFA for starting with a over 𝛴 = {a,b}
Representation of DFA:
Transition diagram:
Q = {A, B, C} qo = A F = { B } 𝛴 = { a,b}
Transition function:
𝜹: Q × 𝜮 → Q
𝛿(𝐴, 𝑎) → 𝐵, 𝛿(𝐴, 𝑏) → 𝐶
𝛿(𝐵, 𝑎) → 𝐵 , 𝛿(𝐵, b) → 𝐵
𝛿(𝐶, 𝑎) → 𝐶 , 𝛿(𝐶, 𝑎) → C


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automata theory
theory of computation
finite automata
Concepts of finite Automata
Definition of fine automata
Types of finite Automata
compiler design
Finite automata as a language acceptor and translator
deterministic finite automata
Introduction to deterministic finite automata (dfa)
Theory of computation full course
Formal language and automata theory
Representation of dfa
Transition diagram of dfa
Transition table of dfa
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