Boolean
Mathematical topics based on the works of George Boole
title: "Boolean" type: doc version: 1 created: 2026-02-28 author: "Wikipedia contributors" status: active scope: public tags: ["computer-science", "eponyms"] description: "Mathematical topics based on the works of George Boole" topic_path: "technology/computing" source: "https://en.wikipedia.org/wiki/Boolean" license: "CC BY-SA 4.0" wikipedia_page_id: 0 wikipedia_revision_id: 0
::summary Mathematical topics based on the works of George Boole ::
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
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