NFA to DFA Converter

Convert AFN (Nondeterministic Finite Automaton) to AFD (Deterministic Finite Automaton) online using the subset construction algorithm.

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About This Tool

This tool converts an AFN (Nondeterministic Finite Automaton) to an equivalent AFD (Deterministic Finite Automaton) using the subset construction algorithm. You can input the AFN definition manually by specifying states, alphabet, transitions, start state, and final states, or upload a JSON file. The tool validates the input, performs the conversion, and displays the resulting AFD with all details. It's useful for students and professionals in automata theory and formal language courses.

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How to Use

Enter AFN details manually in the form: states (comma-separated), alphabet symbols (comma-separated), transitions (one per line in format 'state,symbol->next_state'), start state, and final states (comma-separated).
Alternatively, upload a JSON file with the AFN definition.
Click the 'Convert to AFD' button to process.
View the resulting AFD definition and download it as JSON if needed.

Frequently Asked Questions

Find Quick Answers

What is AFN and AFD?

AFN (Nondeterministic Finite Automaton) and AFD (Deterministic Finite Automaton) are models in automata theory. AFN allows multiple possible transitions for a state and input symbol, while AFD has exactly one transition per state and symbol.

How does the conversion work?

The tool uses the subset construction algorithm: it creates AFD states as subsets of AFN states, with transitions determined by the ε-closure and move operations.

What input format is required?

You can input manually via the form or upload a JSON file with keys: 'states' (array), 'alphabet' (array), 'transitions' (object mapping 'state,symbol' to array of next states), 'start_state' (string), 'final_states' (array).

Is the tool free to use?

Yes, this is a free online tool with no registration required. All processing is done client-side in your browser.

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