Complement | Set Theory | Britannica

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automata theory

• In automata theory: The basic logical organs

  …unary operation of negation or complementation, leading to such propositions as Ac (read “not A” or “complement of A”). First to be considered are the stimulus-response pattern of these elementary automata.

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definition and notation

• In formal logic: Set theory

  … ∨ z ∊ y}; the complement of x, symbolized as -x, is the class the members of which are all those objects that are not members of x—i.e., {y : y ∉ x}; the complement of y in x, symbolized as x − y, is the class of all objects…

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• In set theory: Operations on sets

  …subset A of U, the complement of A (symbolized by A′ or U − A) is defined as the set of all elements in the universe U that are not in A. For example, if the universe consists of the 26 letters of the alphabet, the complement of the set…

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