Nothing close enough? Start from a blank state diagram → Describe it in one paragraph.
How to use a state diagram template.
- 01Define the NFA
List the NFA states, input alphabet, transition function, start state, and accepting states, including any ε-transitions.
- 02Compute ε-closures
For each set of NFA states, determine all states reachable without consuming input to handle ε-transitions correctly.
- 03Build DFA states from subsets
Create a DFA state for each distinct subset of NFA states visited during simulation, then connect transitions based on the NFA's moves.
- 04Mark start and accepting DFA states
Set the starting DFA state to the ε-closure of the original start state, and accept any DFA state whose subset contains at least one NFA accepting state.
- 05Generate the diagram
Enter your NFA into ChatDiagram's state diagram generator to render the subset construction visually and export the result.
Questions about state diagram templates
What is the subset construction algorithm?
Subset construction converts a nondeterministic finite automaton (NFA) into an equivalent deterministic finite automaton (DFA) by treating each set of NFA states as a single DFA state.
How do ε-transitions affect subset construction?
ε-transitions require computing the ε-closure of each subset: every state reachable from the subset without consuming an input symbol is included before transitions are determined.
What is the maximum number of DFA states when converting an NFA with n states?
In the worst case, subset construction can produce up to 2^n DFA states, although many practical NFAs result in far fewer states.
Can subset construction handle multiple accepting states in an NFA?
Yes—any DFA state whose subset contains at least one NFA accepting state becomes an accepting state, so multiple accept states are handled naturally.