{"id":"https://openalex.org/W2138104876","doi":"https://doi.org/10.1016/s1571-0661(04)80647-9","title":"Logical Construction of Final Coalgebras","display_name":"Logical Construction of Final Coalgebras","publication_year":2003,"publication_date":"2003-07-01","ids":{"openalex":"https://openalex.org/W2138104876","doi":"https://doi.org/10.1016/s1571-0661(04)80647-9","mag":"2138104876"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0661(04)80647-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80647-9","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1016/s1571-0661(04)80647-9","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049300785","display_name":"Luigi Santocanale","orcid":"https://orcid.org/0000-0002-4237-7856"},"institutions":[{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I4210142254","display_name":"Laboratoire Bordelais de Recherche en Informatique","ror":"https://ror.org/03adqg323","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210142254","https://openalex.org/I4210159245","https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Luigi Santocanale","raw_affiliation_strings":["LaBRI, Universit\u00e9 Bordeaux 1","LaBRI-Universit\u00e9 Bordeaux 1"],"affiliations":[{"raw_affiliation_string":"LaBRI, Universit\u00e9 Bordeaux 1","institution_ids":["https://openalex.org/I4210142254","https://openalex.org/I15057530","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"LaBRI-Universit\u00e9 Bordeaux 1","institution_ids":["https://openalex.org/I15057530","https://openalex.org/I4210142254"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5049300785"],"corresponding_institution_ids":["https://openalex.org/I15057530","https://openalex.org/I4210142254","https://openalex.org/I4210160189"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.15179966,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"82","issue":"1","first_page":"321","last_page":"340"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9994999766349792,"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":0.9994999766349792,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9945999979972839,"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":0.9940999746322632,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/finitary","display_name":"Finitary","score":0.9511771202087402},{"id":"https://openalex.org/keywords/coalgebra","display_name":"Coalgebra","score":0.9210958480834961},{"id":"https://openalex.org/keywords/coproduct","display_name":"Coproduct","score":0.8322844505310059},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.689022421836853},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6429939866065979},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.49206918478012085},{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.479126900434494},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.478920578956604},{"id":"https://openalex.org/keywords/natural-number","display_name":"Natural number","score":0.42666077613830566},{"id":"https://openalex.org/keywords/concrete-category","display_name":"Concrete category","score":0.41788890957832336},{"id":"https://openalex.org/keywords/adjoint-functors","display_name":"Adjoint functors","score":0.41155147552490234},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4096100330352783}],"concepts":[{"id":"https://openalex.org/C2778003309","wikidata":"https://www.wikidata.org/wiki/Q5450381","display_name":"Finitary","level":2,"score":0.9511771202087402},{"id":"https://openalex.org/C2778249326","wikidata":"https://www.wikidata.org/wiki/Q1777803","display_name":"Coalgebra","level":3,"score":0.9210958480834961},{"id":"https://openalex.org/C36259021","wikidata":"https://www.wikidata.org/wiki/Q692689","display_name":"Coproduct","level":2,"score":0.8322844505310059},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.689022421836853},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6429939866065979},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.49206918478012085},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.479126900434494},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.478920578956604},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.42666077613830566},{"id":"https://openalex.org/C128520899","wikidata":"https://www.wikidata.org/wiki/Q1575634","display_name":"Concrete category","level":3,"score":0.41788890957832336},{"id":"https://openalex.org/C153778094","wikidata":"https://www.wikidata.org/wiki/Q357858","display_name":"Adjoint functors","level":3,"score":0.41155147552490234},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4096100330352783}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/s1571-0661(04)80647-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80647-9","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:math/0403227","is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0403227","pdf_url":"https://arxiv.org/pdf/math/0403227","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.10.8554","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.10.8554","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.labri.fr/Perso/~santocan/papers/CMCS03.ps","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00111230v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00111230","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electronic Notes in Theoretical Computer Science, 2003, Warsaw, Poland. vol 82, p. 1-20","raw_type":"Conference papers"}],"best_oa_location":{"id":"doi:10.1016/s1571-0661(04)80647-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80647-9","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W49309432","https://openalex.org/W583126019","https://openalex.org/W1003252819","https://openalex.org/W1520174560","https://openalex.org/W1523731654","https://openalex.org/W1552637872","https://openalex.org/W1567084588","https://openalex.org/W1595870841","https://openalex.org/W1825484700","https://openalex.org/W1973576343","https://openalex.org/W1979170753","https://openalex.org/W1983905931","https://openalex.org/W1990711332","https://openalex.org/W1998546360","https://openalex.org/W2020531742","https://openalex.org/W2022837260","https://openalex.org/W2028110117","https://openalex.org/W2046125711","https://openalex.org/W2049362364","https://openalex.org/W2057895129","https://openalex.org/W2081620669","https://openalex.org/W2092786729","https://openalex.org/W2135434676","https://openalex.org/W2164027106","https://openalex.org/W2291208220","https://openalex.org/W2324455841","https://openalex.org/W2593993296","https://openalex.org/W2727386241","https://openalex.org/W4212983671","https://openalex.org/W6626161141","https://openalex.org/W6631186235","https://openalex.org/W6633930709","https://openalex.org/W6662346949","https://openalex.org/W6684556144"],"related_works":["https://openalex.org/W1542706591","https://openalex.org/W2359033064","https://openalex.org/W2951018571","https://openalex.org/W2161668260","https://openalex.org/W2033279263","https://openalex.org/W2042266169","https://openalex.org/W2150565919","https://openalex.org/W4256337543","https://openalex.org/W2138104876","https://openalex.org/W2963097502"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2,16],"every":[3],"finitary":[4],"polynomial":[5],"endofunctor":[6],"of":[7],"a":[8,12,33],"category":[9],"C":[10,17],"has":[11,23,32],"final":[13],"coalgebra,":[14],"provided":[15],"is":[18,27],"locally":[19],"Cartesian":[20],"closed,":[21],"it":[22,31],"finite":[24],"coproducts":[25],"and":[26],"an":[28],"extensive":[29],"category,":[30],"natural":[34],"number":[35],"object.":[36]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}