The story
Named after the Swiss mathematician Julius Richard Büchi, who invented this kind of automaton in 1962.
Etymology from Wiktionary, CC BY-SA 4.0.
Büchi automaton
Today it means: A type of ω-automaton that extends a finite automaton to infinite inputs. It accepts an infinite input sequence if there exists a run of the automaton that visits (at least) one of the final states infinitely often. Full definition →