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Differentiate Finite State Machine and Automata

Short answer

A finite state automaton (FSA) only accepts or rejects strings and has final states, recognizing a language. A finite state machine (FSM) produces an output string via an output function and lacks final states, used for computing functions like sequential circuits.

Differentiate between a Finite State Machine and a Finite State Automaton.

PointFinite State Machine (FSM)Finite State Automaton (FSA)
OutputProduces an output string (Mealy or Moore machine)Produces no output, only accepts or rejects
Definition(S, I, O, f, g, s₀): states, input alphabet, output alphabet, next-state function, output function, start state(Q, Σ, δ, q₀, F): states, alphabet, transition function, start state, final states
Final statesNone neededHas a set of final (accepting) states
PurposeComputes a function, e.g. a vending machine or sequential circuitRecognises a language
ExampleBinary adder or parity generatorDFA accepting strings with even a's

✓ Answer checked by Claude Opus 5.5 (high effort)

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