DFA Implementation

DFA Implementation Visually

Advanced DFA simulator with visual state diagrams, step-by-step execution, DFA construction tools, and comprehensive testing capabilities.

Visual Simulation Step Execution DFA Constructor Performance Analysis

What is a Deterministic Finite Automaton (DFA)?

A Deterministic Finite Automaton (DFA) is a finite state machine that accepts or rejects strings of symbols. For each state and input symbol, there is exactly one transition to another state, making it deterministic and predictable.

A DFA is formally defined as a 5-tuple M = (Q, Σ, δ, q₀, F) where:

Formal Definition:
  • Q: Finite set of states
  • Σ: Finite input alphabet
  • δ: Transition function δ: Q × Σ → Q
  • q₀: Initial state (q₀ ∈ Q)
  • F: Set of final states (F ⊆ Q)
Key Properties:
  • Deterministic transitions
  • Finite memory (states)
  • Recognizes regular languages
  • Always halts on input
  • Can be minimized

Choose DFA to Explore

Select from various pre-built DFAs or create your own

Ending with "01"
Even number of 0s
Divisible by 3
Contains "101"
Alternating 01
Custom DFA

Interactive DFA Simulator

5x
Current State: q₀
Step: 0 / 0 | Status: Ready
State Diagram
Quick Test Cases:
Execution Statistics
Total Steps: 0
States Visited: 0
Transitions Made: 0
Execution Time: 0ms
Final Result: -
Transition Table
State 0 1
Regular Languages
L₁ = {w | w ends with 01}
Strings ending with pattern "01"
L₂ = {w | |w|₀ is even}
Even number of zeros
L₃ = {w | val(w) ≡ 0 (mod 3)}
Binary numbers divisible by 3
Execution Trace
Run the DFA to see step-by-step execution
DFA Constructor
Automated Test Suite

Interactive DFA Simulator

Test strings with the DFA that accepts strings ending with "01"