boolean

{{short description|Mathematical topics based on the works of George Boole}}

{{Wiktionary|Boolean|Booleans|boolean}}

Any kind of logic, function, expression, or theory based on the work of George Boole is considered Boolean.

Related to this, "Boolean" may refer to:

• Boolean data type, a form of data with only two possible values (usually "true" and "false")
• Boolean algebra, a logical calculus of truth values or set membership
• Boolean algebra (structure), a set with operations resembling logical ones
• Boolean domain, a set consisting of exactly two elements whose interpretations include false and true
• Boolean circuit, a mathematical model for digital logical circuits.
• Boolean expression, an expression in a programming language that produces a Boolean value when evaluated
• Boolean function, a function that determines Boolean values or operators
• Boolean model (probability theory), a model in stochastic geometry
• Boolean network, a certain network consisting of a set of Boolean variables whose state is determined by other variables in the network
• Boolean processor, a 1-bit variable computing unit
• Boolean ring, a mathematical ring for which x² = x for every element x
• Boolean satisfiability problem, the problem of determining if there exists an interpretation that satisfies a given Boolean formula
• Boolean prime ideal theorem, a theorem which states that ideals in a Boolean algebra can be extended to prime ideals