{"id":"https://openalex.org/W1533548386","doi":"https://doi.org/10.1016/s1571-0661(04)80633-9","title":"Generalized Coiteration Schemata1 1Research supported by the MIUR Project COFIN 2001013518 Cometa.","display_name":"Generalized Coiteration Schemata1 1Research supported by the MIUR Project COFIN 2001013518 Cometa.","publication_year":2003,"publication_date":"2003-07-01","ids":{"openalex":"https://openalex.org/W1533548386","doi":"https://doi.org/10.1016/s1571-0661(04)80633-9","mag":"1533548386"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0661(04)80633-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80633-9","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":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1016/s1571-0661(04)80633-9","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112819905","display_name":"Daniela Cancila","orcid":null},"institutions":[{"id":"https://openalex.org/I129043915","display_name":"University of Udine","ror":"https://ror.org/05ht0mh31","country_code":"IT","type":"education","lineage":["https://openalex.org/I129043915"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Daniela Cancila","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 di Udine Via delle Scienze 206, 33100 Udine, Italy","Dipartimento di Matematica e Informatica Universit\u00e0 di Udine via delle Scienze 206, 33100 Udine, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Udine Via delle Scienze 206, 33100 Udine, Italy","institution_ids":["https://openalex.org/I129043915"]},{"raw_affiliation_string":"Dipartimento di Matematica e Informatica Universit\u00e0 di Udine via delle Scienze 206, 33100 Udine, Italy","institution_ids":["https://openalex.org/I129043915"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000680961","display_name":"Furio Honsell","orcid":"https://orcid.org/0000-0001-8937-1892"},"institutions":[{"id":"https://openalex.org/I129043915","display_name":"University of Udine","ror":"https://ror.org/05ht0mh31","country_code":"IT","type":"education","lineage":["https://openalex.org/I129043915"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Furio Honsell","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 di Udine Via delle Scienze 206, 33100 Udine, Italy","Dipartimento di Matematica e Informatica Universit\u00e0 di Udine via delle Scienze 206, 33100 Udine, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Udine Via delle Scienze 206, 33100 Udine, Italy","institution_ids":["https://openalex.org/I129043915"]},{"raw_affiliation_string":"Dipartimento di Matematica e Informatica Universit\u00e0 di Udine via delle Scienze 206, 33100 Udine, Italy","institution_ids":["https://openalex.org/I129043915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111459665","display_name":"Marina Lenisa","orcid":null},"institutions":[{"id":"https://openalex.org/I129043915","display_name":"University of Udine","ror":"https://ror.org/05ht0mh31","country_code":"IT","type":"education","lineage":["https://openalex.org/I129043915"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Marina Lenisa","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 di Udine Via delle Scienze 206, 33100 Udine, Italy","Dipartimento di Matematica e Informatica Universit\u00e0 di Udine via delle Scienze 206, 33100 Udine, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Udine Via delle Scienze 206, 33100 Udine, Italy","institution_ids":["https://openalex.org/I129043915"]},{"raw_affiliation_string":"Dipartimento di Matematica e Informatica Universit\u00e0 di Udine via delle Scienze 206, 33100 Udine, Italy","institution_ids":["https://openalex.org/I129043915"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5000680961","https://openalex.org/A5111459665","https://openalex.org/A5112819905"],"corresponding_institution_ids":["https://openalex.org/I129043915"],"apc_list":null,"apc_paid":null,"fwci":1.8881,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.87007735,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"82","issue":"1","first_page":"76","last_page":"93"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9970999956130981,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/morphism","display_name":"Morphism","score":0.6559358835220337},{"id":"https://openalex.org/keywords/dual-polyhedron","display_name":"Dual polyhedron","score":0.6324827671051025},{"id":"https://openalex.org/keywords/monad","display_name":"Monad (category theory)","score":0.5503494143486023},{"id":"https://openalex.org/keywords/coinduction","display_name":"Coinduction","score":0.5106022953987122},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5104862451553345},{"id":"https://openalex.org/keywords/coalgebra","display_name":"Coalgebra","score":0.5057311058044434},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5010666847229004},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.4656335413455963},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42336535453796387},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4138747751712799},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36938685178756714},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35530421137809753},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.20927581191062927}],"concepts":[{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.6559358835220337},{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.6324827671051025},{"id":"https://openalex.org/C33959348","wikidata":"https://www.wikidata.org/wiki/Q1630568","display_name":"Monad (category theory)","level":3,"score":0.5503494143486023},{"id":"https://openalex.org/C40220748","wikidata":"https://www.wikidata.org/wiki/Q4227156","display_name":"Coinduction","level":3,"score":0.5106022953987122},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5104862451553345},{"id":"https://openalex.org/C2778249326","wikidata":"https://www.wikidata.org/wiki/Q1777803","display_name":"Coalgebra","level":3,"score":0.5057311058044434},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5010666847229004},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.4656335413455963},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42336535453796387},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4138747751712799},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36938685178756714},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35530421137809753},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.20927581191062927},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s1571-0661(04)80633-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80633-9","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:air.uniud.it:11390/739460","is_oa":true,"landing_page_url":"http://www.sciencedirect.com/science/article/pii/S1571066104806339","pdf_url":null,"source":{"id":"https://openalex.org/S4306401163","display_name":"Institutional Research Information System (University of Udine)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I129043915","host_organization_name":"University of Udine","host_organization_lineage":["https://openalex.org/I129043915"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"doi:10.1016/s1571-0661(04)80633-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80633-9","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1485825789","https://openalex.org/W1490795061","https://openalex.org/W1561011284","https://openalex.org/W1578809538","https://openalex.org/W1872588449","https://openalex.org/W1898152104","https://openalex.org/W1979170753","https://openalex.org/W1980786790","https://openalex.org/W1999289390","https://openalex.org/W2010924417","https://openalex.org/W2039697589","https://openalex.org/W2057843304","https://openalex.org/W2079822631","https://openalex.org/W2101032471","https://openalex.org/W2107354844","https://openalex.org/W2128995870","https://openalex.org/W2160809209","https://openalex.org/W2341511048","https://openalex.org/W4297800963","https://openalex.org/W6629115058","https://openalex.org/W6629253257","https://openalex.org/W6634528590","https://openalex.org/W6649890532","https://openalex.org/W6653065681","https://openalex.org/W6660475465","https://openalex.org/W6664953711","https://openalex.org/W6683244828","https://openalex.org/W6704507728","https://openalex.org/W7053504691"],"related_works":["https://openalex.org/W2046125821","https://openalex.org/W2058610334","https://openalex.org/W2049083449","https://openalex.org/W3152297735","https://openalex.org/W2118666207","https://openalex.org/W2178688232","https://openalex.org/W2950105012","https://openalex.org/W2613375231","https://openalex.org/W2968061697","https://openalex.org/W2779132223"],"abstract_inverted_index":{"Coiterative":[0],"functions":[1],"can":[2],"be":[3],"explained":[4],"categorically":[5],"as":[6,15,92],"final":[7,16],"coalgebraic":[8],"morphisms,":[9],"once":[10],"coinductive":[11],"types":[12],"are":[13],"viewed":[14],"coalgebras.":[17],"However,":[18],"the":[19,44,50,78,93,109],"coiteration":[20,70,89],"schema":[21],"which":[22],"arises":[23],"in":[24,108],"this":[25,40],"way":[26],"is":[27],"too":[28],"rigid":[29],"to":[30],"accommodate":[31],"directly":[32],"many":[33],"interesting":[34],"classes":[35],"of":[36,46,88,95,114],"circular":[37],"specifications.":[38],"In":[39],"paper,":[41],"building":[42],"on":[43,55,58],"notion":[45],"T-coiteration":[47,82,116],"introduced":[48],"by":[49,60,76,128],"third":[51],"author":[52],"and":[53,62,66,98,101],"capitalizing":[54],"recent":[56],"work":[57],"bialgebras":[59],"Turi-Plotkin":[61],"Bartels,":[63],"we":[64,73,105],"introduce":[65],"illustrate":[67],"various":[68],"generalized":[69],"patterns.":[71],"First":[72],"show":[74,106],"that,":[75,107],"choosing":[77],"appropriate":[79],"monad":[80],"T,":[81],"captures":[83,117],"naturally":[84],"a":[85],"wide":[86],"range":[87],"schemata,":[90,120],"such":[91],"duals":[94],"primitive":[96],"recursion":[97],"course-of-value":[99],"iteration,":[100],"mutual":[102],"coiteration.":[103],"Then":[104],"more":[110],"structured":[111],"categorical":[112],"setting":[113],"bialgebras,":[115],"guarded":[118,127],"coiterations":[119],"i.e.":[121],"specifications":[122],"where":[123],"recursive":[124],"calls":[125],"appear":[126],"predefined":[129],"algebraic":[130],"operations.":[131]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2025-10-10T00:00:00"}