TypeCase: A design pattern for type-indexed functions

A type-indexed function is a function that is defined for each member of some family of types. Haskell's type class mechanism provides collections of open type-indexed functions, in which the indexing family can be extended by defining a new type class instance but the collection of functions i...

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Main Authors: Oliveira, B, Gibbons, J
Formato: Conference item
Publicado em: 2005
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author Oliveira, B
Gibbons, J
author_facet Oliveira, B
Gibbons, J
author_sort Oliveira, B
collection OXFORD
description A type-indexed function is a function that is defined for each member of some family of types. Haskell's type class mechanism provides collections of open type-indexed functions, in which the indexing family can be extended by defining a new type class instance but the collection of functions is fixed. The purpose of this paper is to present TypeCase: a design pattern that allows the definition of closed type-indexed functions, in which the index family is fixed but the collection of functions is extensible. It is inspired by Cheney and Hinze's work on lightweight approaches to generic programming. We generalise their techniques as a design pattern. Furthermore, we show that type-indexed functions with type-indexed types, and consequently generic functions with generic types, can also be encoded in a lightweight manner, thereby overcoming one of the main limitations of the lightweight approaches. Copyright © 2005 ACM.
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spelling oxford-uuid:3c9e2ba1-3e3b-4ffb-be43-b0473f2ffea02022-03-26T14:14:37ZTypeCase: A design pattern for type-indexed functionsConference itemhttp://purl.org/coar/resource_type/c_5794uuid:3c9e2ba1-3e3b-4ffb-be43-b0473f2ffea0Symplectic Elements at Oxford2005Oliveira, BGibbons, JA type-indexed function is a function that is defined for each member of some family of types. Haskell's type class mechanism provides collections of open type-indexed functions, in which the indexing family can be extended by defining a new type class instance but the collection of functions is fixed. The purpose of this paper is to present TypeCase: a design pattern that allows the definition of closed type-indexed functions, in which the index family is fixed but the collection of functions is extensible. It is inspired by Cheney and Hinze's work on lightweight approaches to generic programming. We generalise their techniques as a design pattern. Furthermore, we show that type-indexed functions with type-indexed types, and consequently generic functions with generic types, can also be encoded in a lightweight manner, thereby overcoming one of the main limitations of the lightweight approaches. Copyright © 2005 ACM.
spellingShingle Oliveira, B
Gibbons, J
TypeCase: A design pattern for type-indexed functions
title TypeCase: A design pattern for type-indexed functions
title_full TypeCase: A design pattern for type-indexed functions
title_fullStr TypeCase: A design pattern for type-indexed functions
title_full_unstemmed TypeCase: A design pattern for type-indexed functions
title_short TypeCase: A design pattern for type-indexed functions
title_sort typecase a design pattern for type indexed functions
work_keys_str_mv AT oliveirab typecaseadesignpatternfortypeindexedfunctions
AT gibbonsj typecaseadesignpatternfortypeindexedfunctions