An investigation of the laws of traversals

Autores
Jaskelioff, Mauro Javier; Rypacek, Ondrej
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Traversals of data structures are ubiquitous in programming. Consequently, it is important to be able to characterise those structures that are traversable and understand their algebraic properties. Traversable functors have been characterised by McBride and Paterson as those equipped with a distributive law over arbitrary applicative functors; however, laws that fully capture the intuition behind traversals are missing. This article is an attempt to remedy this situation by proposing laws for characterising traversals that capture the intuition behind them. To support our claims, we prove that finitary containers are traversable in our sense and argue that elements in a traversable structure are visited exactly once.
Fil: Jaskelioff, Mauro Javier. Universidad Nacional de Rosario; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas. Universidad Nacional de Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas; Argentina
Fil: Rypacek, Ondrej. Kings College London (kcl);
Materia
TRAVERSAL
DISTRIBUTIVE LAW
FUNCTIONAL PROGRAMMING
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/102401
Acceder
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network_name_str CONICET Digital (CONICET)
spelling An investigation of the laws of traversalsJaskelioff, Mauro JavierRypacek, OndrejTRAVERSALDISTRIBUTIVE LAWFUNCTIONAL PROGRAMMINGhttps://purl.org/becyt/ford/1.2https://purl.org/becyt/ford/1Traversals of data structures are ubiquitous in programming. Consequently, it is important to be able to characterise those structures that are traversable and understand their algebraic properties. Traversable functors have been characterised by McBride and Paterson as those equipped with a distributive law over arbitrary applicative functors; however, laws that fully capture the intuition behind traversals are missing. This article is an attempt to remedy this situation by proposing laws for characterising traversals that capture the intuition behind them. To support our claims, we prove that finitary containers are traversable in our sense and argue that elements in a traversable structure are visited exactly once.Fil: Jaskelioff, Mauro Javier. Universidad Nacional de Rosario; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas. Universidad Nacional de Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas; ArgentinaFil: Rypacek, Ondrej. Kings College London (kcl);Open Publishing Association2012-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/102401Jaskelioff, Mauro Javier; Rypacek, Ondrej; An investigation of the laws of traversals; Open Publishing Association; Electronic Proceedings in Theoretical Computer Science; 76; 2-2012; 40-492075-2180CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.4204/EPTCS.76.5info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1202.2919v1info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:36:41Zoai:ri.conicet.gov.ar:11336/102401instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:36:41.568CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv An investigation of the laws of traversals
title An investigation of the laws of traversals
spellingShingle An investigation of the laws of traversals
Jaskelioff, Mauro Javier
TRAVERSAL
DISTRIBUTIVE LAW
FUNCTIONAL PROGRAMMING
title_short An investigation of the laws of traversals
title_full An investigation of the laws of traversals
title_fullStr An investigation of the laws of traversals
title_full_unstemmed An investigation of the laws of traversals
title_sort An investigation of the laws of traversals
dc.creator.none.fl_str_mv Jaskelioff, Mauro Javier
Rypacek, Ondrej
author Jaskelioff, Mauro Javier
author_facet Jaskelioff, Mauro Javier
Rypacek, Ondrej
author_role author
author2 Rypacek, Ondrej
author2_role author
dc.subject.none.fl_str_mv TRAVERSAL
DISTRIBUTIVE LAW
FUNCTIONAL PROGRAMMING
topic TRAVERSAL
DISTRIBUTIVE LAW
FUNCTIONAL PROGRAMMING
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.2
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Traversals of data structures are ubiquitous in programming. Consequently, it is important to be able to characterise those structures that are traversable and understand their algebraic properties. Traversable functors have been characterised by McBride and Paterson as those equipped with a distributive law over arbitrary applicative functors; however, laws that fully capture the intuition behind traversals are missing. This article is an attempt to remedy this situation by proposing laws for characterising traversals that capture the intuition behind them. To support our claims, we prove that finitary containers are traversable in our sense and argue that elements in a traversable structure are visited exactly once.
Fil: Jaskelioff, Mauro Javier. Universidad Nacional de Rosario; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas. Universidad Nacional de Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas; Argentina
Fil: Rypacek, Ondrej. Kings College London (kcl);
description Traversals of data structures are ubiquitous in programming. Consequently, it is important to be able to characterise those structures that are traversable and understand their algebraic properties. Traversable functors have been characterised by McBride and Paterson as those equipped with a distributive law over arbitrary applicative functors; however, laws that fully capture the intuition behind traversals are missing. This article is an attempt to remedy this situation by proposing laws for characterising traversals that capture the intuition behind them. To support our claims, we prove that finitary containers are traversable in our sense and argue that elements in a traversable structure are visited exactly once.
publishDate 2012
dc.date.none.fl_str_mv 2012-02
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/102401
Jaskelioff, Mauro Javier; Rypacek, Ondrej; An investigation of the laws of traversals; Open Publishing Association; Electronic Proceedings in Theoretical Computer Science; 76; 2-2012; 40-49
2075-2180
CONICET Digital
CONICET
url http://hdl.handle.net/11336/102401
identifier_str_mv Jaskelioff, Mauro Javier; Rypacek, Ondrej; An investigation of the laws of traversals; Open Publishing Association; Electronic Proceedings in Theoretical Computer Science; 76; 2-2012; 40-49
2075-2180
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.4204/EPTCS.76.5
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1202.2919v1
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Open Publishing Association
publisher.none.fl_str_mv Open Publishing Association
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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