{"id":"https://openalex.org/W2066913625","doi":"https://doi.org/10.1016/s1571-0661(04)80015-x","title":"Subtypes and bounded quantification from a fibred perspective","display_name":"Subtypes and bounded quantification from a fibred perspective","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W2066913625","doi":"https://doi.org/10.1016/s1571-0661(04)80015-x","mag":"2066913625"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0661(04)80015-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80015-x","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)80015-x","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103735501","display_name":"B.P.F. Jacobs","orcid":null},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"B.P.F. Jacobs","raw_affiliation_strings":["CWI, Kruislaan 413, 1098 SJ Amsterdam, The Netherlands"],"affiliations":[{"raw_affiliation_string":"CWI, Kruislaan 413, 1098 SJ Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I1341640284"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103735501"],"corresponding_institution_ids":["https://openalex.org/I1341640284"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.15235307,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"273","last_page":"289"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9990000128746033,"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":0.9990000128746033,"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":0.9890999794006348,"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":0.9866999983787537,"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/fibered-knot","display_name":"Fibered knot","score":0.8692858219146729},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.8407846689224243},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7170760631561279},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.683826208114624},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.6088836789131165},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5672159194946289},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.4946300685405731},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4435752332210541},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4144752621650696},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3300185203552246},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.320556640625},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09337189793586731}],"concepts":[{"id":"https://openalex.org/C133776654","wikidata":"https://www.wikidata.org/wiki/Q2381352","display_name":"Fibered knot","level":2,"score":0.8692858219146729},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.8407846689224243},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7170760631561279},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.683826208114624},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.6088836789131165},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5672159194946289},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.4946300685405731},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4435752332210541},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4144752621650696},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3300185203552246},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.320556640625},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09337189793586731},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/s1571-0661(04)80015-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80015-x","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:cwi:oai:cwi.nl:2172","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/2172","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"info:eu-repo/semantics/conferencepaper"},{"id":"pmh:oai:repository.ubn.ru.nl:2066/309365","is_oa":false,"landing_page_url":"https://hdl.handle.net/2066/309365","pdf_url":null,"source":{"id":"https://openalex.org/S4306401067","display_name":"Radboud Repository (Radboud University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145872427","host_organization_name":"Radboud University Nijmegen","host_organization_lineage":["https://openalex.org/I145872427"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article / Letter to editor"}],"best_oa_location":{"id":"doi:10.1016/s1571-0661(04)80015-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80015-x","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":[{"display_name":"Reduced inequalities","score":0.4099999964237213,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W646836675","https://openalex.org/W2027657506","https://openalex.org/W2057648994","https://openalex.org/W2069037543","https://openalex.org/W2086061699","https://openalex.org/W2104204098","https://openalex.org/W2126730327","https://openalex.org/W2144778998","https://openalex.org/W2171425038","https://openalex.org/W2597834528","https://openalex.org/W2990197396","https://openalex.org/W6667835598","https://openalex.org/W6678868198","https://openalex.org/W6770537948"],"related_works":["https://openalex.org/W2330329854","https://openalex.org/W2062463924","https://openalex.org/W1964778338","https://openalex.org/W2939391416","https://openalex.org/W3147991164","https://openalex.org/W1525371448","https://openalex.org/W2131595768","https://openalex.org/W2773923244","https://openalex.org/W2972655131","https://openalex.org/W4288107550"],"abstract_inverted_index":{"A":[0],"general":[1],"categorical":[2],"description":[3],"of":[4,10,23],"subtyping":[5],"\u03c3":[6,73,117],"<":[7],"\u03c3\u2032":[8,119],"and":[9,15,39,98,105],"bounded":[11,31],"quantification":[12,93],"\u2200\u03b1<:":[13],"\u03c3.\u03c4":[14,18],"\u2203\u03b1":[16],"<:":[17,37,41,56,74,95,100,118],"is":[19],"presented":[20],"in":[21,77],"terms":[22],"fibrations.":[24],"In":[25,43,86],"fact,":[26],"we":[27,60,89],"shall":[28],"generalize":[29],"these":[30,44,130],"quantifiers":[32,136],"to":[33,108,120],"\u201cconstrained":[34],"quantifiers\u201d":[35],"\u2200\u03b1[\u03c3":[36,94],"\u03c3\u2032].\u03c4":[38],"\u2203\u03b1[\u03c3":[40,99],"\u03c3\u2032].\u03c4.":[42],"cases":[45],"one":[46],"quantifies":[47],"over":[48,69,81],"those":[49],"type":[50],"variables":[51],"\u03b1":[52],"for":[53],"which":[54,66,76,112],"\u03c3(\u03b1)":[55],"\u03c3\u2032(\u03b1)":[57],"holds.":[58],"Semantically":[59],"distinguish":[61],"three":[62],"levels:":[63],"types":[64],"\u03c4,":[65],"are":[67,79,137],"fibered":[68],"(depend":[70,82],"on)":[71,83],"subtypings":[72],"\u03c3\u2032,":[75],"turn":[78],"fibred":[80],"kinds":[84],"K.":[85],"this":[87],"setting":[88],"can":[90],"describe":[91],"constrained":[92,131],"\u03c3\u2032].":[96,101],"(\u2212)":[97,102],"as":[103],"right":[104],"left":[106],"adjoints":[107],"the":[109,114],"weakening":[110],"functor":[111],"adds":[113],"(dummy)":[115],"hypothesis":[116],"an":[121],"appropriate":[122],"context.":[123],"This":[124],"shows":[125],"that,":[126],"like":[127],"ordinary":[128],"quantifiers,":[129],"(and":[132],"hence":[133],"especially":[134],"bounded)":[135],"adjoints.":[138]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}