# List of Boolean algebra topics

From Infogalactic: the planetary knowledge core

This is a list of topics around **Boolean algebra** and **propositional logic**.

## Contents

## Articles with a wide scope and introductions

- Algebra of sets
- Boolean algebra (structure)
- Boolean algebra
- Field of sets
- Logical connective
- Propositional calculus

## Boolean functions and connectives

- Ampheck
- Boolean algebras canonically defined
- Conditioned disjunction
- Evasive Boolean function
- Exclusive or
- Functional completeness
- Logical biconditional
- Logical conjunction
- Logical disjunction
- Logical equality
- Logical implication
- Logical negation
- Logical NOR
- Lupanov representation
- Majority function
- Material conditional
- Peirce arrow
- Sheffer stroke
- Sole sufficient operator
- Symmetric Boolean function
- Symmetric difference
- Zhegalkin polynomial

## Examples of Boolean algebras

## Extensions and generalizations

- Complete Boolean algebra
- Derivative algebra (abstract algebra)
- First-order logic
- Free Boolean algebra
- Heyting algebra
- Monadic Boolean algebra
- skew Boolean algebra

## Syntax

- Algebraic normal form
- Boolean conjunctive query
- Canonical form (Boolean algebra)
- Conjunctive normal form
- Disjunctive normal form
- Formal system

## Technical applications

## Theorems and specific laws

- Boolean prime ideal theorem
- Compactness theorem
- Consensus theorem
- De Morgan's laws
- Duality (order theory)
- Laws of classical logic
- Peirce's law
- Stone's representation theorem for Boolean algebras

## People

- Boole, George
- De Morgan, Augustus
- Jevons, William Stanley
- Peirce, Charles Sanders
- Stone, Marshall Harvey
- Venn, John
- Zhegalkin, Ivan Ivanovich

## Philosophy

## Visualization

## Unclassified

- Boolean function
- Boolean-valued function
- Boolean-valued model
- Boolean satisfiability problem
- Indicator function (also called the
*characteristic function*, but that term is used in probability theory for a different concept) - Espresso heuristic logic minimizer
- Logical matrix
- Logical value
- Stone duality
- Stone space
- Topological Boolean algebra