indicates that the column's property is always true the row's term (at the very left), while ✗ indicates that the property is not guaranteed in general (it might, or might not, hold). For example, that every equivalence relation is symmetric, but not necessarily antisymmetric, is indicated by in the "Symmetric" column and ✗ in the "Antisymmetric" column, respectively. All definitions tacitly requi
A Büchi automaton with two states, and , the former of which is the start state and the latter of which is accepting. Its inputs are infinite words over the symbols . As an example, it accepts the infinite word , where denotes the infinite repetition of a string. It rejects the infinite word . In computer science and automata theory, a deterministic Büchi automaton is a theoretical machine which e
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