Boolean domain

A boolean domain \(\mathbb{B}\) is a generic 2-element set, say, \(\mathbb{B} = \{ 0, 1 \},\) whose elements are interpreted as logical values, typically, \(0 = \operatorname{false}\) and \(1 = \operatorname{true}.\)

A boolean variable \(x\!\) is a variable that takes its value from a boolean domain, as \(x \in \mathbb{B}.\)

Syllabus

Logical operators

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• Exclusive disjunction
• Logical conjunction
• Logical disjunction
• Logical equality

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• Logical implication
• Logical NAND
• Logical NNOR
• Negation

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Related topics

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• Ampheck
• Boolean domain
• Boolean function
• Boolean-valued function

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• Logical graph
• Logical matrix
• Minimal negation operator
• Peirce's law

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• Propositional calculus
• Truth table
• Universe of discourse
• Zeroth order logic

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Document history

Portions of the above article were adapted from the following sources under the GNU Free Documentation License, under other applicable licenses, or by permission of the copyright holders.

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• Boolean Domain, MyWikiBiz
• Boolean Domain, MathWeb Wiki
• Boolean Domain, PlanetMath
• Boolean Domain, PlanetPhysics

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• Boolean Domain, Wikiversity Beta
• Boolean Domain, Wikinfo
• Boolean Domain, Textop Wiki
• Boolean Domain, Wikipedia

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