exclusive or

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English[edit]

Alternative forms[edit]

Etymology[edit]

exclusive + or.

Noun[edit]

exclusive or (plural exclusive ors)

  1. (logic, computing) Exclusive disjunction: the use of or to indicate that of two predicates, one is true and one is false (without specifying which is which); contrasted with inclusive or, which does not imply that one must be false.
  2. (logic, computing, more generally) Exclusive disjunction: the use of or to indicate that of two or more predicates, an odd number are true (without specifying which or how many); contrasted with inclusive or, which indicates only that one or more is true.
  3. (logic, computing) An exclusive disjunction; the result of applying the above-described exclusive or to two or more predicates; contrasted with an inclusive or, which is the result of applying an inclusive or.

Usage notes[edit]

  • (the result): In an expression of formal logic, the phrase exclusive or (or hyphenated as exclusive-or) may appear between the predicates, much like a conjunction:
    (x ∧ ¬y) \lorxy) ↔ xy, which reads: x exclusive-or y.

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