Boolean algebra

Boolean algebra
noun
a system of symbolic logic devised by George Boole; used in computers
Syn: ↑Boolean logic

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noun
Usage: usually capitalized B
: a set that is closed under two commutative binary operations and that can be described by any of various systems of postulates all of which can be deduced from the postulates that an identity element exists for each operation, that each operation is distributive over the other, and that for every element in the set there is another element which when combined with the first under one of the operations yields the identity element of the other operation

under the operations of taking intersections and unions, the subsets of a given set form a Boolean algebra

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/booh"lee euhn/
1. Logic. a deductive logical system, usually applied to classes, in which, under the operations of intersection and symmetric difference, classes are treated as algebraic quantities.
2. Math. a ring with a multiplicative identity in which every element is an idempotent.
[1885-90; named after G. BOOLE; see -AN]

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Boolean algebra noun
A logical system which makes the algebraic manipulation of sets possible
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Main Entry:Boolean

Useful english dictionary. 2012.

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