This is a list of topics around Boolean algebra and propositional logic.
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
- Boolean domain
- Complete Boolean algebra
- Interior algebra
- Two-element Boolean algebra
Extensions of Boolean algebras
- Derivative algebra (abstract algebra)
- Free Boolean algebra
- Monadic Boolean algebra
Generalizations of Boolean algebras
- De Morgan algebra
- First-order logic
- Heyting algebra
- Lindenbaum–Tarski 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
- And-inverter graph
- Logic gate
- Boolean analysis
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
- Boole's syllogistic
- Boolean implicant
- Entitative graph
- Existential graph
- Laws of Form
- Logical graph
Visualization
Unclassified
- Boolean function
- Boolean-valued function
- Boolean-valued model
- Boolean satisfiability problem
- Boolean differential calculus
- 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