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Descriptive complexity theory

Descriptive complexity is a branch of computational complexity theory and of finite model theory that characterizes complexity classes by the type of logic needed to express the languages in them. For example, PH, the union of all complexity classes in the polynomial hierarchy, is precisely the class of languages expressible by statements of second-order…

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Overview

The setting

Overview of characterisations of complexity classes

Sub-polynomial time

Polynomial time

Non-deterministic polynomial time

Beyond NP

Elementary functions

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Descriptive complexity theory

Nodes69
Edges68
Triples12
Avg. degree1.97
Density0.028986
Components1

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Descriptive complexity theory

Top relations

related to The setting · 9
Descriptive complexity theory → In, Thanks, The, These, This, Usually, We, Whatever, When
related to Fagin's theorem · 3
Descriptive complexity theory → NP, Ronald Fagin's, Since

Important terminology Word statistics

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Important terminology

logic second-order first-order structures complexity displaystyle set ho classes operator formulae polynomial order existential theorem class languages transitive closure fagin's

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Descriptive complexity theoryrelated to Fagin's theoremRonald Fagin's0.60section
Descriptive complexity theoryrelated to Fagin's theoremNP0.60section
Descriptive complexity theoryrelated to Fagin's theoremSince0.60section
Descriptive complexity theoryrelated to The settingWhen0.60section
Descriptive complexity theoryrelated to The settingUsually0.60section
Descriptive complexity theoryrelated to The settingThe0.60section
Descriptive complexity theoryrelated to The settingWhatever0.60section
Descriptive complexity theoryrelated to The settingThese0.60section
Descriptive complexity theoryrelated to The settingWe0.60section
Descriptive complexity theoryrelated to The settingIn0.60section
Descriptive complexity theoryrelated to The settingThis0.60section
Descriptive complexity theoryrelated to The settingThanks0.60section

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    Min side: 3
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