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Quantifier rank

In mathematical logic, the quantifier rank of a formula is the depth of nesting of its quantifiers. It plays an essential role in model theory.

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

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Overview

Definition

Advanced semantic analysis

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Map overview Semantic statistics

Quantifier rank

Nodes12
Edges11
Triples5
Avg. degree1.83
Density0.166667
Components1

How this topic connects Entity context

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Quantifier rank

Top relations

related to External links · 2
Quantifier rank → L-infinity-omega BA Thesis, Quantifier Rank Spectrum
related to In first-order logic · 2
Quantifier rank → Let, The
is a · 1
Quantifier rank → property of the formula itself

Important terminology Word statistics

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Important terminology

displaystyle quantifier varphi operatorname rank qr formula logic first-order finite model theory quantifiers equivalent isbn fo formulas number prenex normal

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Quantifier rankis aproperty of the formula itself0.90text
Quantifier rankrelated to External linksQuantifier Rank Spectrum0.60section
Quantifier rankrelated to External linksL-infinity-omega BA Thesis0.60section
Quantifier rankrelated to In first-order logicLet0.60section
Quantifier rankrelated to In first-order logicThe0.60section

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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