Harman Patil (Editor)

List of Boolean algebra topics

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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

  • Boolean domain
  • Interior algebra
  • Lindenbaum–Tarski algebra
  • Two-element Boolean algebra
  • Extensions and generalizations

  • Complete Boolean algebra
  • Derivative algebra (abstract algebra)
  • First-order logic
  • Free Boolean algebra
  • De Morgan 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

  • 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

  • Truth table
  • Karnaugh map
  • Venn diagram
  • 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
  • References

    List of Boolean algebra topics Wikipedia


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