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Dependence logic: Measurement, Semantics & Properties

Dependence logic is a logical formalism, created by Jouko Väänänen, which adds dependence atoms to the language of first-order logic. A dependence atom is an expression of the form = ( t 1 … t n ) {\displaystyle =\!\!(t_{1}\ldots t_{n})} , where t 1 … t n {\displaystyle t_{1}\ldots t_{n}} are terms, and corresponds to the statement that the value of t n…

Language: English [EN]
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Dependence logic topic overview

The analysis highlights Measurement, Semantics and Properties as prominent areas in the source structure around Dependence logic. 1 topic appears in more than one source area, which can help identify connections that are less obvious in a linear reading.

Related topics
44
Source areas
7
Connected nodes
52
Extracted relationships
76
Concept neighborhoods
21
Bridge connections
52

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 12 topics
Semantics · 11 topics
Complexity · 6 topics
Properties · 6 topics
Syntax · 4 topics
Variants and extensions · 4 topics
Dependence logic and other logics · 2 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Syntax

Semantics

Dependence logic and other logics

Properties

Complexity

Variants and extensions

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.

How Dependence logic connects Entity context

The extracted context around Dependence logic shows recurring relationship patterns in the source. For example, Dependence logic → Academy Colloquium Dependence Logic, Amsterdam, Dependence, Dependence LogicPresentations, Edward, Galliani, In Zalta, Independence, ISSN, Logic, OCLC, Philosophy, Pietro, Special, Stanford Encyclopedia, Studia Logica Another extracted example is Dependence logic → As, Durand, Fagin's, Furthermore, However, Kontinen, Lévy, NP, Pi, The. Use these groups to spot repeated connection types before inspecting the individual relationships.

Dependence logic

Top relations

related to External links · 16
Dependence logic → Academy Colloquium Dependence Logic, Amsterdam, Dependence, Dependence LogicPresentations, Edward, Galliani, In Zalta, Independence, ISSN, Logic, OCLC, Philosophy, Pietro, Special, Stanford Encyclopedia, Studia Logica
related to Complexity · 10
Dependence logic → As, Durand, Fagin's, Furthermore, However, Kontinen, Lévy, NP, Pi, The
related to Independence logic · 5
Dependence logic → However, Independence, Instead, The, Therefore
is a · 4
Dependence logic → extension of that of first-order logic, logic of imperfect information, logical formalism, variant of Wilfrid Hodges' compositional semantics for IF logic
related to Complex formulas and sentences · 4
Dependence logic → Any, For, Free, If
related to Dependence logic and IF logic · 4
Dependence logic → Any, However, IF, Translations
related to Semantics · 4
Dependence logic → IF, The, There, Wilfrid Hodges
related to Syntax · 4
Dependence logic → For, Sfunc, Srel, The
related to Dependence logic and first-order logic · 3
Dependence logic → Dependence, Furthermore, However
related to Intuitionistic dependence logic · 3
Dependence logic → As, Intuitionistic, The

Important terminology

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

Important terminology

logic dependence displaystyle first-order phi formulas mathcal terms semantics formula sentence team models independence exists equivalent atoms psi ldots second-order

Dependence logic relationships Subject–Predicate–Object triples

TTTA extracted 76 structured relationships around Dependence logic. Examples in this analysis include Dependence logic → is a → logical formalism and Dependence logic → is a → logic of imperfect information. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Dependence logicis alogical formalism0.90text
Dependence logicis alogic of imperfect information0.90text
Dependence logicis aextension of that of first-order logic0.90text
Dependence logicis avariant of Wilfrid Hodges' compositional semantics for IF logic0.90text
Dependence logicrelated to Atomic formulasThere0.60section
Dependence logicrelated to Atomic formulasAn0.60section
Dependence logicrelated to Complex formulas and sentencesFor0.60section
Dependence logicrelated to Complex formulas and sentencesFree0.60section
Dependence logicrelated to Complex formulas and sentencesAny0.60section
Dependence logicrelated to Complex formulas and sentencesIf0.60section
Dependence logicrelated to ComplexityAs0.60section
Dependence logicrelated to ComplexityFagin's0.60section

Related concept clusters Concept neighborhoods

The concept neighborhoods around Dependence logic bring nearby vocabulary together. In this analysis, examples include Logic, Displaystyle and Formulas. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Dependence logic
    • Logic
    • Displaystyle
    • Formulas
    • Sentence
    • Phi
    • Formula
    • First-order
    • Quantifiers
    • Equivalent
    • Team
    • Terms
    • Semantics
  • dependence logic
    • Logic
    • Displaystyle
    • Formulas
    • Sentence
    • Phi
    • Formula
    • First-order
    • Equivalent
    • Quantifiers
    • Team
    • Terms
    • Independence
  • first-order logic
    • Formulas
    • Semantics
    • Language
    • Logic
    • Formula
    • Sentence
    • Phi
    • Displaystyle
    • Also
    • Exclusion
    • Inclusion
    • Equivalent
  • logic of imperfect information
    • Formulas
    • Formula
    • Sentence
    • Phi
    • Equivalent
    • Independence
    • Second-order
    • Semantics
    • Team
    • Quantifiers
    • Terms
    • Existential
  • branching quantifier logic
    • Quantifiers
    • Formulas
    • Quantification
    • Semantics
    • Formula
    • Sentence
    • Phi
    • Existential
    • Sentences
    • Equivalent
    • Independence
    • Second-order
  • independence-friendly logic
    • Formulas
    • Formula
    • Sentence
    • Phi
    • Equivalent
    • Independence
    • Second-order
    • Semantics
    • Team
    • Quantifiers
    • Terms
    • Existential
  • existential quantification
    • Second-order
    • Quantifiers
    • Existential
    • Negation
    • Quantification
    • Form
    • Teams
    • Terms
    • Equivalent
    • Also
    • Exclusion
    • Formula
  • precisely as in first-order logic
    • Formulas
    • Semantics
    • Language
    • Logic
    • Formula
    • Sentence
    • Phi
    • Displaystyle
    • Also
    • Exclusion
    • Inclusion
    • Equivalent

Connections between topic areas Semantic bridges

For Dependence logic, one of the stronger structural bridges in this analysis connects Dependence logic with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Dependence logicOverview · splits 40 ⟂ 13
Dependence logicSemantics · splits 41 ⟂ 12
Dependence logicProperties · splits 46 ⟂ 7
Dependence logicComplexity · splits 46 ⟂ 7
Dependence logicSyntax · splits 48 ⟂ 5
Dependence logicVariants and extensions · splits 48 ⟂ 5
Dependence logicDependence logic and other logics · splits 50 ⟂ 3

Map overview Semantic statistics

Dependence logic

Nodes53
Edges52
Triples76
Avg. degree1.96
Density0.037736
Components1

Source & methodology

TTTA analyzes the structure around Dependence logic to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Measurement, Semantics & Properties, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Dependence logic · EN edition · Analysis: TopicsToTalkAbout

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