Research any topic before you write.

Find related topics. | Discover entities. | See connections. | Build a topical map.

Logical NOR

In Boolean logic, logical NOR, non-disjunction, or joint denial is a truth-functional operator which produces a result that is the negation of logical or. That is, a sentence of the form (p NOR q) is true precisely when neither p nor q is true—i.e. when both p and q are false. It is logically equivalent to ¬ ( p ∨ q ) {\displaystyle \neg (p\lor q)} and ¬…

Alternative notations and names, Definition & Properties

Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.

Research this topic

Explore the main themes, entities and connections around Logical NOR. Start with the topic map, then use the sections below for research and deeper semantic analysis.

Explore this topic

Start with a few of the strongest sections from the source topic. These are research directions, not a list of keywords you must use.

Alternative notations and names

PeirceStammPlShefferQuine
9 related topics

Definition

Logical operationLogical valuesPropositionsTruth table
4 related topics

Properties

Disjunctive Normal Form TheoremLinearMonotonicFunctionally complete
4 related topics

Overview

Boolean logicORNegationANDDual
12 related topics

Key facts & relationships

High-confidence facts extracted from structured source data. Use them as anchors for further research.

0-preserving
no
1-preserving
no
Affine
no
Conjunctive
x ¯ ⋅ y ¯ {\displaystyle {\overline {x}}\cdot {\overline {y}}}
Definition
x + y ¯ {\displaystyle {\overline {x+y}}}
Disjunctive
x ¯ ⋅ y ¯ {\displaystyle {\overline {x}}\cdot {\overline {y}}}

Topics to explore

Browse the full topic structure. Each item opens a new analysis centered on that subject.

Overview

Definition

Alternative notations and names

Properties

Other Boolean operations in terms of the logical NOR

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Logical NOR

Nodes36
Edges35
Triples20
Avg. degree1.94
Density0.055556
Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Logical NOR

Top relations

related to Functional completeness · 5
Logical NOR → Disjunctive Normal Form Theorem, NOR, The, Then, This
related to External links · 3
Logical NOR → Media, Wikimedia Commons, Wiktionary-logo-en-v2
related to Logical equivalences · 2
Logical NOR → NOR, The
0-preserving · 1
Logical NOR → no
1-preserving · 1
Logical NOR → no
Affine · 1
Logical NOR → no
Conjunctive · 1
Logical NOR → x ¯ ⋅ y ¯ {\displaystyle {\overline {x}}\cdot {\overline {y}}}
Definition · 1
Logical NOR → x + y ¯ {\displaystyle {\overline {x+y}}}
Disjunctive · 1
Logical NOR → x ¯ ⋅ y ¯ {\displaystyle {\overline {x}}\cdot {\overline {y}}}
Monotone · 1
Logical NOR → no

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

displaystyle logical non-disjunction operator downarrow also used negation sheffer functional completeness logic overline peirce truth table use complete first boolean

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Logical NOR0-preservingno1.00infobox
Logical NOR1-preservingno1.00infobox
Logical NORAffineno1.00infobox
Logical NORConjunctivex ¯ ⋅ y ¯ {\displaystyle {\overline {x}}\cdot {\overline {y}}}1.00infobox
Logical NORDefinitionx + y ¯ {\displaystyle {\overline {x+y}}}1.00infobox
Logical NORDisjunctivex ¯ ⋅ y ¯ {\displaystyle {\overline {x}}\cdot {\overline {y}}}1.00infobox
Logical NORMonotoneno1.00infobox
Logical NORSelf-dualno1.00infobox
Logical NORTruth table( 0001 ) {\displaystyle (0001)}1.00infobox
Logical NORZhegalkin polynomial1 ⊕ x ⊕ y ⊕ x y {\displaystyle 1\oplus x\oplus y\oplus xy}1.00infobox
Logical NORrelated to External linksWiktionary-logo-en-v20.60section
Logical NORrelated to External linksMedia0.60section

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

    Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.

    Min side: 3
    For writers, content strategists, SEOs, marketers and creators — from quick topic research to advanced semantic analysis.