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Fixed-point logic

In mathematical logic, fixed-point logics are extensions of classical predicate logic that have been introduced to express recursion. Their development has been motivated by descriptive complexity theory and their relationship to database query languages, in particular to Datalog.

Art, Partial fixed-point logic & Least fixed-point logic

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Partial fixed-point logic

4 related topics

Least fixed-point logic

2 related topics

Transitive closure logic

2 related topics

Iterations

2 related topics

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Overview

Partial fixed-point logic

Least fixed-point logic

Simultaneous induction

Transitive closure logic

Deterministic transitive closure logic

Examples

  • 2-core Degeneracy (graph theory)

Iterations

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Map overview Semantic statistics

Fixed-point logic

Nodes29
Edges28
Triples23
Avg. degree1.93
Density0.068966
Components1

How this topic connects Entity context

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Fixed-point logic

Top relations

related to Least fixed-point logic · 10
Fixed-point logic → Due, FO, Immerman, LFP, PFP, Since, That, The Immerman-Vardi, This, Vardi
related to Inflationary fixed-point logic · 8
Fixed-point logic → Although, Another, FO, Formally, IFP, LFP, PFP, This
related to Examples · 5
Fixed-point logic → Define, Least Fixed-point, LFP, Rightarrow, The

Important terminology Word statistics

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Important terminology

displaystyle fixed-point fo logic point operatorname tc least pfp variables fixed complexity transitive closure predicates varphi define defined mathsf exists

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Fixed-point logicrelated to ExamplesDefine0.60section
Fixed-point logicrelated to ExamplesRightarrow0.60section
Fixed-point logicrelated to ExamplesThe0.60section
Fixed-point logicrelated to ExamplesLeast Fixed-point0.60section
Fixed-point logicrelated to ExamplesLFP0.60section
Fixed-point logicrelated to Inflationary fixed-point logicAnother0.60section
Fixed-point logicrelated to Inflationary fixed-point logicFormally0.60section
Fixed-point logicrelated to Inflationary fixed-point logicIFP0.60section
Fixed-point logicrelated to Inflationary fixed-point logicPFP0.60section
Fixed-point logicrelated to Inflationary fixed-point logicThis0.60section
Fixed-point logicrelated to Inflationary fixed-point logicAlthough0.60section
Fixed-point logicrelated to Inflationary fixed-point logicFO0.60section

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