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Functional completeness

In logic, a functionally complete set of logical connectives or Boolean operators is one that can be used to express all possible truth tables by combining members of the set into a Boolean expression. A well-known complete set of connectives is { AND, NOT }. Each of the singleton sets { NAND } and { NOR } is functionally complete. However, the set {…

Characters, Characterization of functional completeness & Minimal functionally complete operator sets

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Characterization of functional completeness

Emil PostMonotonicAffineDe Morgan dualMaj
8 related topics

Minimal functionally complete operator sets

UnaryNANDDual to each otherCharles Sanders PeirceHenry M. Sheffer
8 related topics

In other domains

ReversibleFredkin gateToffoli gateQuantum computingHadamard gate
8 related topics

Overview

LogicLogical connectivesBoolean operatorsTruth tablesSet
17 related topics

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Introduction

Formal definition

Characterization of functional completeness

Minimal functionally complete operator sets

In other domains

Set theory

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Functional completeness

Nodes61
Edges60
Triples7
Avg. degree1.97
Density0.032787
Components1

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Functional completeness

Top relations

related to In other domains · 7
Functional completeness → Apart, Boolean, For, Fredkin, The, There, Toffoli

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Important terminology

complete functionally set connectives logic sets displaystyle boolean gates completeness nand also terms one gate minimal functional function logical operators

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Functional completenessrelated to In other domainsApart0.60section
Functional completenessrelated to In other domainsBoolean0.60section
Functional completenessrelated to In other domainsFor0.60section
Functional completenessrelated to In other domainsThe0.60section
Functional completenessrelated to In other domainsFredkin0.60section
Functional completenessrelated to In other domainsThere0.60section
Functional completenessrelated to In other domainsToffoli0.60section

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