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Dependent type

In computer science and logic, a dependent type is a type whose definition depends on a value. It is an overlapping feature of type theory and type systems. In intuitionistic type theory, dependent types are used to encode logic's quantifiers like "for all" and "there exists". In functional programming languages like Agda, ATS, Rocq (previously known as…

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Formal definition

Systems of the lambda cube

Simultaneous programming language and logic

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Dependent type

Nodes63
Edges62
Triples19
Avg. degree1.97
Density0.031746
Components1

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Dependent type

Top relations

related to External links · 4
Dependent type → Dependent, Dependently Typed Programming, Haskell Wikidependent, Typed Programming
related to Formal definition · 4
Dependent type → For, In, Let, Thus
related to Second order dependent type theory · 4
Dependent type → In, Pi, System, The
related to First order dependent type theory · 3
Dependent type → LF, Pi, The
is a · 2
Dependent type → type whose definition depends on a value, type whose specification may vary with a value
related to Systems of the lambda cube · 2
Dependent type → Henk Barendregt, The

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Important terminology

type dependent displaystyle types may lambda function calculus value typed example theory textstyle pair logic product system programming mathcal sum

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Dependent typeis atype whose definition depends on a value0.90text
Dependent typeis atype whose specification may vary with a value0.90text
Dependent typerelated to External linksDependently Typed Programming0.60section
Dependent typerelated to External linksTyped Programming0.60section
Dependent typerelated to External linksDependent0.60section
Dependent typerelated to External linksHaskell Wikidependent0.60section
Dependent typerelated to First order dependent type theoryThe0.60section
Dependent typerelated to First order dependent type theoryPi0.60section
Dependent typerelated to First order dependent type theoryLF0.60section
Dependent typerelated to Formal definitionIn0.60section
Dependent typerelated to Formal definitionLet0.60section
Dependent typerelated to Formal definitionFor0.60section

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