# BooleanVariables

BooleanVariables[expr]

gives a list of the Boolean variables in the Boolean expression expr.

BooleanVariables[bf]

gives the number of Boolean variables in the BooleanFunction object bf.

# Details

• In BooleanVariables[expr], the expression expr can involve any combination of Boolean functions such as And, Or, Not, as well as BooleanFunction and related functions.
• In BooleanVariables[bf], the expression bf must be a single BooleanFunction object.
• BooleanVariables[expr] gives a list of variables in the order returned by Sort.

# Examples

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## Basic Examples(2)

Find the variables in a Boolean expression:

Find the number of variables for a pure BooleanFunction object:

## Scope(2)

Find the Boolean variables in a Boolean expression:

Programmatically get the number of arguments to a pure Boolean function:

## Properties & Relations(2)

BooleanVariables is by default used as the list of variables for BooleanTable:

Use BooleanVariables to get a variable list for SatisfiabilityInstances:

## Possible Issues(1)

Anything that is not explicitly constructed using Boolean primitives and functions is variable:

Wolfram Research (2008), BooleanVariables, Wolfram Language function, https://reference.wolfram.com/language/ref/BooleanVariables.html.

#### Text

Wolfram Research (2008), BooleanVariables, Wolfram Language function, https://reference.wolfram.com/language/ref/BooleanVariables.html.

#### CMS

Wolfram Language. 2008. "BooleanVariables." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/BooleanVariables.html.

#### APA

Wolfram Language. (2008). BooleanVariables. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/BooleanVariables.html

#### BibTeX

@misc{reference.wolfram_2024_booleanvariables, author="Wolfram Research", title="{BooleanVariables}", year="2008", howpublished="\url{https://reference.wolfram.com/language/ref/BooleanVariables.html}", note=[Accessed: 20-June-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_booleanvariables, organization={Wolfram Research}, title={BooleanVariables}, year={2008}, url={https://reference.wolfram.com/language/ref/BooleanVariables.html}, note=[Accessed: 20-June-2024 ]}