{"id":"https://openalex.org/W4417085862","doi":"https://doi.org/10.46298/entics.16583","title":"Functoriality of Enriched Data Types","display_name":"Functoriality of Enriched Data Types","publication_year":2025,"publication_date":"2025-12-20","ids":{"openalex":"https://openalex.org/W4417085862","doi":"https://doi.org/10.46298/entics.16583"},"language":"en","primary_location":{"id":"doi:10.46298/entics.16583","is_oa":true,"landing_page_url":"https://doi.org/10.46298/entics.16583","pdf_url":"https://entics.episciences.org/16583/pdf","source":{"id":"https://openalex.org/S4387287474","display_name":"Electronic Notes in Theoretical Informatics and Computer Science","issn_l":"2969-2431","issn":["2969-2431"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Informatics and Computer Science","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://entics.episciences.org/16583/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5120716605","display_name":"Lukas Mulder","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Lukas Mulder","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072849432","display_name":"Paige Randall North","orcid":"https://orcid.org/0000-0001-7876-0956"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Paige Randall North","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5027728017","display_name":"Maximilien P\u00e9roux","orcid":"https://orcid.org/0000-0003-0482-5918"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Maximilien P\u00e9roux","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5120716605"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19258846,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"Volume 5 - Proceedings of...","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.5975000262260437,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.5975000262260437,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.18889999389648438,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.04470000043511391,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/morphism","display_name":"Morphism","score":0.7983999848365784},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.7473999857902527},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5504999756813049},{"id":"https://openalex.org/keywords/coalgebra","display_name":"Coalgebra","score":0.5486000180244446},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5026999711990356},{"id":"https://openalex.org/keywords/category-theory","display_name":"Category theory","score":0.45410001277923584},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.4521999955177307},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.41620001196861267},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.41179999709129333}],"concepts":[{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.7983999848365784},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.7473999857902527},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7246000170707703},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5504999756813049},{"id":"https://openalex.org/C2778249326","wikidata":"https://www.wikidata.org/wiki/Q1777803","display_name":"Coalgebra","level":3,"score":0.5486000180244446},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5026999711990356},{"id":"https://openalex.org/C54884031","wikidata":"https://www.wikidata.org/wiki/Q217413","display_name":"Category theory","level":2,"score":0.45410001277923584},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4521999955177307},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.41620001196861267},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.41179999709129333},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.40860000252723694},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39010000228881836},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.3822000026702881},{"id":"https://openalex.org/C138958017","wikidata":"https://www.wikidata.org/wiki/Q190087","display_name":"Data type","level":2,"score":0.367000013589859},{"id":"https://openalex.org/C108010975","wikidata":"https://www.wikidata.org/wiki/Q500094","display_name":"Pruning","level":2,"score":0.35830000042915344},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3352000117301941},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.32589998841285706},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.3215999901294708},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.3206999897956848},{"id":"https://openalex.org/C188971069","wikidata":"https://www.wikidata.org/wiki/Q1636734","display_name":"Universal algebra","level":3,"score":0.31949999928474426},{"id":"https://openalex.org/C153778094","wikidata":"https://www.wikidata.org/wiki/Q357858","display_name":"Adjoint functors","level":3,"score":0.3190999925136566},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.31690001487731934},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.3140999972820282},{"id":"https://openalex.org/C72727785","wikidata":"https://www.wikidata.org/wiki/Q2518298","display_name":"Category of sets","level":3,"score":0.31060001254081726},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.27090001106262207},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.26579999923706055},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.26420000195503235},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.2531999945640564},{"id":"https://openalex.org/C207648694","wikidata":"https://www.wikidata.org/wiki/Q1189746","display_name":"Denotational semantics","level":4,"score":0.25279998779296875},{"id":"https://openalex.org/C163797641","wikidata":"https://www.wikidata.org/wiki/Q2067937","display_name":"Tree structure","level":3,"score":0.25200000405311584}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.46298/entics.16583","is_oa":true,"landing_page_url":"https://doi.org/10.46298/entics.16583","pdf_url":"https://entics.episciences.org/16583/pdf","source":{"id":"https://openalex.org/S4387287474","display_name":"Electronic Notes in Theoretical Informatics and Computer Science","issn_l":"2969-2431","issn":["2969-2431"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Informatics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2505.06059","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2505.06059","pdf_url":"https://arxiv.org/pdf/2505.06059","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:doi:10.48550/arxiv.2505.06059","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2505.06059","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2505.06059","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.46298/entics.16583","is_oa":true,"landing_page_url":"https://doi.org/10.46298/entics.16583","pdf_url":"https://entics.episciences.org/16583/pdf","source":{"id":"https://openalex.org/S4387287474","display_name":"Electronic Notes in Theoretical Informatics and Computer Science","issn_l":"2969-2431","issn":["2969-2431"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Informatics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4417085862.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0],"previous":[1],"work,":[2],"categories":[3,14,94],"of":[4,6,15,17,25,34,95,113],"algebras":[5,96],"endofunctors":[7],"were":[8],"shown":[9],"to":[10,30,131],"be":[11],"enriched":[12,90],"in":[13,149],"coalgebras":[16],"the":[18,22,58,76,114],"same":[19],"endofunctor,":[20],"and":[21,102,119,153],"extra":[23],"structure":[24],"that":[26,69,87,138],"enrichment":[27],"was":[28],"used":[29],"define":[31],"a":[32,46,79],"generalization":[33],"inductive":[35,40,116,144],"data":[36,41,54,100,107,117],"types.":[37,133],"These":[38],"generalized":[39],"types":[42,101,108],"are":[43,109],"parametrized":[44],"by":[45,61,71],"coalgebra":[47],"$C$,":[48],"so":[49],"we":[50,56,85,120,136],"call":[51,57],"them":[52],"$C$-inductive":[53,65,99,103,106],"types;":[55],"morphisms":[59],"induced":[60],"their":[62,93],"universal":[63],"property":[64],"functions.":[66,104,156],"We":[67],"extend":[68,126],"work":[70],"incorporating":[72],"natural":[73,81],"transformations":[74],"into":[75],"theory:":[77],"given":[78],"suitable":[80],"transformation":[82],"between":[83,92],"endofunctors,":[84],"show":[86,121,137],"this":[88],"induces":[89],"functors":[91],"which":[97],"preserve":[98],"Such":[105],"often":[110],"finite":[111],"versions":[112],"corresponding":[115],"type,":[118],"how":[122],"our":[123,139],"framework":[124],"can":[125],"classical":[127],"initial":[128],"algebra":[129],"semantics":[130],"these":[132],"For":[134],"instance,":[135],"theory":[140],"naturally":[141],"produces":[142],"partially":[143],"functions":[145],"on":[146],"lists,":[147],"changes":[148],"list":[150],"element":[151],"types,":[152],"tree":[154],"pruning":[155],"24":[157],"pages":[158]},"counts_by_year":[],"updated_date":"2026-05-15T08:27:34.491423","created_date":"2025-10-10T00:00:00"}
