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Finite Automata

NFA Simulator

Simulate and test nondeterministic finite automata with interactive visualizations

NFA Simulator

Nondeterministic Finite Automata (NFA) can be in multiple states simultaneously

Non-Deterministic Finite Automaton (NFA) 🌟

Multiple paths and parallel processing - explore all possibilities simultaneously

NFA Characteristics

Key Differences from DFA

Multiple transitions per input symbol
Non-deterministic choices
Accept if any path reaches final state

Transition Function

δ: Q × Σ → 2^Q (Power set of Q)

Returns a set of states, not just one state like DFA

Interactive NFA Simulator

NFA State Diagram

q₀

Initial
State

q₁

Branch 1

q₂

Branch 2

q₃

Final
ACCEPT

Transition Table
State01
q₀{q₀, q₁}{q₀, q₂}
q₁{q₃}
q₂{q₂, q₃}{q₃}
q₃{q₃}{q₃}

String Processing: "11001"

1
1
0
0
1
Current States: {q0}
Position: 0/5

Example Strings

"00"
Accept

Reaches final state q3

"10"
Accept

Multiple paths lead to q3

"11"
Accept

Non-deterministic choice succeeds

"11001"
Accept

Complex path through multiple states

"01"
Reject

No path reaches final state

NFA vs DFA Comparison

DFA (Deterministic)

✓ One transition per input symbol

✓ Single current state

✓ Predictable execution

✓ Easier to implement

✗ May require more states

NFA (Non-Deterministic)

✓ Multiple transitions per input

✓ Set of current states

✓ More expressive power

✓ Often fewer states needed

✗ More complex to simulate