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Logical equality

Logical equality is a logical operator that compares two truth values, or more generally, two formulas, such that it gives the value True if both arguments have the same truth value, and False if they are different. In the case where formulas have free variables, we say two formulas are equal when their truth values are equal for all possible resolutions…

Inequality, Definition & Overview

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Explore the main themes, entities and connections around Logical equality. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Key facts & relationships

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

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

Topics to explore

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Overview

Definition

Inequality

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 equality

Nodes26
Edges25
Triples20
Avg. degree1.92
Density0.076923
Components1

How this topic connects Entity context

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Logical equality

Top relations

related to External links · 5
Logical equality → Logical, Media, Wikimedia CommonsMathworld, Wiktionary-logo-en-v2, XNOR
related to Definition · 4
Logical equality → Epq, EQ, Logical, The
0-preserving · 1
Logical equality → no
1-preserving · 1
Logical equality → yes
Affine · 1
Logical equality → yes
Conjunctive · 1
Logical equality → ( x ¯ + y ) ⋅ ( x + y ¯ ) {\displaystyle ({\overline {x}}+y)\cdot (x+{\overline {y}})}
Definition · 1
Logical equality → x = y {\displaystyle x=y}
Disjunctive · 1
Logical equality → x ⋅ y + x ¯ ⋅ y ¯ {\displaystyle x\cdot y+{\overline {x}}\cdot {\overline {y}}}
Monotone · 1
Logical equality → no
Self-dual · 1
Logical equality → no

Important terminology Word statistics

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Important terminology

logical equality truth operation values true operator two value formulas false boolean operands arguments equal xnor inequality table definition algebra

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Logical equality0-preservingno1.00infobox
Logical equality1-preservingyes1.00infobox
Logical equalityAffineyes1.00infobox
Logical equalityConjunctive( x ¯ + y ) ⋅ ( x + y ¯ ) {\displaystyle ({\overline {x}}+y)\cdot (x+{\overline {y}})}1.00infobox
Logical equalityDefinitionx = y {\displaystyle x=y}1.00infobox
Logical equalityDisjunctivex ⋅ y + x ¯ ⋅ y ¯ {\displaystyle x\cdot y+{\overline {x}}\cdot {\overline {y}}}1.00infobox
Logical equalityMonotoneno1.00infobox
Logical equalitySelf-dualno1.00infobox
Logical equalityTruth table( 1001 ) {\displaystyle (1001)}1.00infobox
Logical equalityZhegalkin polynomial1 ⊕ x ⊕ y {\displaystyle 1\oplus x\oplus y}1.00infobox
Logical equalityis alogical operator that compares two truth values0.90text
Logical equalityrelated to DefinitionLogical0.60section

Related concept clusters Concept neighborhoods

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    Min side: 3
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