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Inductive type

In type theory, a system has inductive types if it has facilities for creating a new type from constants and functions that create terms of that type. The feature serves a role similar to data structures in a programming language and allows a type theory to add concepts like numbers, relations, and trees. As the name suggests, inductive types can be…

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Map overview Semantic statistics

Inductive type

Nodes34
Edges33
Triples31
Avg. degree1.94
Density0.058824
Components1

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Inductive type

Top relations

related to W- and M-types · 10
Inductive type → Each W-type, Given, ITT, Let, M-types, One, The, They, W-type, W-types
related to Higher inductive types · 5
Inductive type → Higher, Homotopy, HoTT, ITT, This
related to Induction principle · 5
Inductive type → In, Inductive, Rocq, This, Thus
related to Induction-recursion · 5
Inductive type → Induction-recursion, ITT, Once, These, Universe
related to Mutually inductive definitions · 3
Inductive type → For, Rocq, This
related to External links · 2
Inductive type → Induction-Recursion SlidesInduction-Induction SlidesHigher Inductive, Types

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Important terminology

types type inductive displaystyle natural numbers mathsf defined theory function one trees w-types m-types induction-recursion may constructor new structures structural

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
streamsinstance ofdata0.80text
Inductive typerelated to External linksInduction-Recursion SlidesInduction-Induction SlidesHigher Inductive0.60section
Inductive typerelated to External linksTypes0.60section
Inductive typerelated to Higher inductive typesThis0.60section
Inductive typerelated to Higher inductive typesHomotopy0.60section
Inductive typerelated to Higher inductive typesHoTT0.60section
Inductive typerelated to Higher inductive typesITT0.60section
Inductive typerelated to Higher inductive typesHigher0.60section
Inductive typerelated to Induction principleInductive0.60section
Inductive typerelated to Induction principleThus0.60section
Inductive typerelated to Induction principleRocq0.60section
Inductive typerelated to Induction principleIn0.60section

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