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
Hoare logic (also known as Floyd–Hoare logic or Hoare rules) is a formal system with a set of logical rules for reasoning rigorously about the correctness of computer programs. It was proposed in 1969 by the British computer scientist and logician Tony Hoare, and subsequently refined by Hoare and other researchers.[1] The original ideas were seeded by the work of Robert W. Floyd, who had published
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