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Automata theory
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== Types of automata == The following is an incomplete list of types of automata. {| class="wikitable" |- ! Automaton ! Recognizable languages |- |[[Finite-state machine|Nondeterministic/Deterministic finite-state machine]] (FSM) |[[regular language]]s |- | [[Deterministic pushdown automaton]] (DPDA) | [[deterministic context-free language]]s |- | [[Pushdown automaton]] (PDA) | [[context-free language]]s |- | [[Linear bounded automaton]] (LBA) | [[context-sensitive language]]s |- | [[Turing machine]] | [[recursively enumerable language]]s |- | Deterministic [[Büchi automaton]] | [[Omega language#Operations|ω-limit languages]] |- | Nondeterministic Büchi automaton | rowspan="2" | [[Omega-regular language|ω-regular languages]] |- | [[Rabin automaton]], [[Streett automaton]], [[Parity automaton]], [[Muller automaton]] |- | [[Weighted automaton]] | |- |} ===Discrete, continuous, and hybrid automata=== Normally automata theory describes the states of abstract machines but there are discrete automata, [[analog automata]] or [[continuous automaton|continuous automata]], or [[Hybrid automaton|hybrid discrete-continuous automata]], which use digital data, analog data or continuous time, or digital ''and'' analog data, respectively.
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