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Boolean algebra

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Noun

Boolean logic Boolean algebra

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

Definition: An algebraic structure (𝛴,∨,∧,∼,0,1) where ∨ and ∧ are idempotent binary operators, ∼ is a unary involutory operator (called "complement"), and 0 and 1 are nullary operators (i.e., constants), such that (𝛴,∨,0) is a commutative monoid, (𝛴,∧,1) is a commutative monoid, ∧ and ∨ distribute with respect to each other, and such that combining two complementary elements through one binary operator yields the identity of the other binary operator. (See Boolean algebra (structure)#Axiomatics.)

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