About: Polynomial functor (type theory)

An Entity of Type: Thing, from Named Graph: http://dbpedia.org, within Data Space: dbpedia.org

In type theory, a polynomial functor (or container functor) is a kind of endofunctor of a category of types that is intimately related to the concept of inductive and coinductive types. Specifically, all W-types (resp. M-types) are (isomorphic to) initial algebras (resp. final coalgebras) of such functors. Polynomial functors have been studied in the more general setting of a pretopos with Σ-types; this article deals only with the applications of this concept inside the category of types of a Martin-Löf style type theory.

Property Value
dbo:abstract
  • In type theory, a polynomial functor (or container functor) is a kind of endofunctor of a category of types that is intimately related to the concept of inductive and coinductive types. Specifically, all W-types (resp. M-types) are (isomorphic to) initial algebras (resp. final coalgebras) of such functors. Polynomial functors have been studied in the more general setting of a pretopos with Σ-types; this article deals only with the applications of this concept inside the category of types of a Martin-Löf style type theory. (en)
dbo:wikiPageExternalLink
dbo:wikiPageID
  • 56343400 (xsd:integer)
dbo:wikiPageLength
  • 4324 (xsd:nonNegativeInteger)
dbo:wikiPageRevisionID
  • 1102102926 (xsd:integer)
dbo:wikiPageWikiLink
dbp:wikiPageUsesTemplate
dcterms:subject
rdfs:comment
  • In type theory, a polynomial functor (or container functor) is a kind of endofunctor of a category of types that is intimately related to the concept of inductive and coinductive types. Specifically, all W-types (resp. M-types) are (isomorphic to) initial algebras (resp. final coalgebras) of such functors. Polynomial functors have been studied in the more general setting of a pretopos with Σ-types; this article deals only with the applications of this concept inside the category of types of a Martin-Löf style type theory. (en)
rdfs:label
  • Polynomial functor (type theory) (en)
owl:sameAs
prov:wasDerivedFrom
foaf:isPrimaryTopicOf
is dbo:wikiPageWikiLink of
is foaf:primaryTopic of
Powered by OpenLink Virtuoso    This material is Open Knowledge     W3C Semantic Web Technology     This material is Open Knowledge    Valid XHTML + RDFa
This content was extracted from Wikipedia and is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License