Boolean algebra

Noun

Meaning

a system of symbolic logic devised by George Boole; used in computers

Source: WordNet

Synonyms

Boolean logic formal logic mathematical logic propositional calculus symbolic logic logical operator predicate logic propositional variable logical connective logical sign switching algebra logic symbol logical notation logical symbol propositional connective

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Hypernyms

formal logic mathematical logic symbolic logic

Examples

A Boolean algebra with only one element is called a trivial Boolean algebra or a degenerate Boolean algebra. Source: Internet

Boolean algebra came of age as serious mathematics with the work of Marshall Stone in the 1930s, and with Garrett Birkhoff 's 1940 Lattice Theory. Source: Internet

Calling (1), (2), and (4) a Robbins algebra, the question then becomes: Is every Robbins algebra a Boolean algebra? Source: Internet

For any set A, the power set is a Boolean algebra under the operations of union and intersection. Source: Internet

For infinite Boolean algebras this is no longer true, but every infinite Boolean algebra can be represented as a subalgebra of a power set Boolean algebra (see Stone's representation theorem ). Source: Internet

Furthermore, a subset of a Boolean ring is a ring ideal (prime ring ideal, maximal ring ideal) if and only if it is an order ideal (prime order ideal, maximal order ideal) of the Boolean algebra. Source: Internet

Close letter words and terms

Boolarra Boole boolean Boolean atom Boolean circuit Boolean derivative