In automata theory, a Muller automaton is a type of an ω-automaton.
The acceptance condition separates a Muller automaton from other ω-automata.
The Muller automaton is defined using a Muller acceptance condition, i.e. the set of all states visited infinitely often must be an element of the acceptance set. Both deterministic and non-deterministic Muller automata recognize the ω-regular languages. They are named after David E. Muller, an American mathematician and computer scientist, who invented them in 1963.[1]
^Muller, David E. (1963). "Infinite sequences and finite machines". 4th Annual Symposium on Switching Circuit Theory and Logical Design (SWCT): 3–16.
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