{"id":"https://openalex.org/W4392596497","doi":"https://doi.org/10.46298/lmcs-20(1:17)2024","title":"Stabilized profunctors and stable species of structures","display_name":"Stabilized profunctors and stable species of structures","publication_year":2024,"publication_date":"2024-02-29","ids":{"openalex":"https://openalex.org/W4392596497","doi":"https://doi.org/10.46298/lmcs-20(1:17)2024"},"language":"en","primary_location":{"id":"doi:10.46298/lmcs-20(1:17)2024","is_oa":true,"landing_page_url":"http://dx.doi.org/10.46298/lmcs-20(1:17)2024","pdf_url":"https://lmcs.episciences.org/13199/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/13199/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080675787","display_name":"Marcelo Fiore","orcid":"https://orcid.org/0000-0001-8558-3492"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Marcelo Fiore","raw_affiliation_strings":["CAM - University of Cambridge [UK] (The Old Schools, Trinity Lane, Cambridge CB2 1TN - United Kingdom)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CAM - University of Cambridge [UK] (The Old Schools, Trinity Lane, Cambridge CB2 1TN - United Kingdom)","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048466200","display_name":"Zeinab Galal","orcid":null},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Zeinab Galal","raw_affiliation_strings":["OLAS - Fondements op\u00e9rationnels, logiques et alg\u00e9briques des syst\u00e8mes logiciels (Dipartimento di Informatica - Scienza e Ingegneria (DISI) Universita' di Bologna Mura Anteo Zamboni, 7 40126 Bologna ITALY - Italy)","UNIBO - Alma Mater Studiorum Universit\u00e0 di Bologna = University of Bologna (Via Zamboni, 33 - 40126 Bologna - Italy)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"OLAS - Fondements op\u00e9rationnels, logiques et alg\u00e9briques des syst\u00e8mes logiciels (Dipartimento di Informatica - Scienza e Ingegneria (DISI) Universita' di Bologna Mura Anteo Zamboni, 7 40126 Bologna ITALY - Italy)","institution_ids":["https://openalex.org/I9360294"]},{"raw_affiliation_string":"UNIBO - Alma Mater Studiorum Universit\u00e0 di Bologna = University of Bologna (Via Zamboni, 33 - 40126 Bologna - Italy)","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064252598","display_name":"Hugo Paquet","orcid":"https://orcid.org/0000-0002-8192-0321"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Hugo Paquet","raw_affiliation_strings":["University of Oxford (Wellington Square, Oxford OX1 2JD - United Kingdom)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Oxford (Wellington Square, Oxford OX1 2JD - United Kingdom)","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01898671,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"Volume 20, Issue 1","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":0.9990000128746033,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9955999851226807,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9955000281333923,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/finitary","display_name":"Finitary","score":0.8901403546333313},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.7305349111557007},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6841049194335938},{"id":"https://openalex.org/keywords/cartesian-closed-category","display_name":"Cartesian closed category","score":0.5363138318061829},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5264362096786499},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.472832053899765},{"id":"https://openalex.org/keywords/cartesian-product","display_name":"Cartesian product","score":0.46527525782585144},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37319517135620117},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36823752522468567}],"concepts":[{"id":"https://openalex.org/C2778003309","wikidata":"https://www.wikidata.org/wiki/Q5450381","display_name":"Finitary","level":2,"score":0.8901403546333313},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.7305349111557007},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6841049194335938},{"id":"https://openalex.org/C171032842","wikidata":"https://www.wikidata.org/wiki/Q1725874","display_name":"Cartesian closed category","level":2,"score":0.5363138318061829},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5264362096786499},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.472832053899765},{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.46527525782585144},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37319517135620117},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36823752522468567},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.46298/lmcs-20(1:17)2024","is_oa":true,"landing_page_url":"http://dx.doi.org/10.46298/lmcs-20(1:17)2024","pdf_url":"https://lmcs.episciences.org/13199/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04834939v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-04834939","pdf_url":"https://inria.hal.science/hal-04834939/document","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, 2024, Volume 20, Issue 1, &#x27E8;10.46298/LMCS-20(1:17)2024&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:502244fc3012419592a542308188743f","is_oa":false,"landing_page_url":"https://doaj.org/article/502244fc3012419592a542308188743f","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"Logical Methods in Computer Science, Vol Volume 20, Issue 1 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.46298/lmcs-20(1:17)2024","is_oa":true,"landing_page_url":"http://dx.doi.org/10.46298/lmcs-20(1:17)2024","pdf_url":"https://lmcs.episciences.org/13199/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.6800000071525574}],"awards":[{"id":"https://openalex.org/G2233425273","display_name":"Probabilistic program semantics","funder_award_id":"ANR-19-CE48-0014","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2723597063","display_name":null,"funder_award_id":"EP/V002309/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3010527862","display_name":null,"funder_award_id":"ANR\u201019","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G5071449251","display_name":"Monoidal bicategories, linear logic and operads","funder_award_id":"EP/V002309/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392596497.pdf"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W109519284","https://openalex.org/W158035142","https://openalex.org/W1505195721","https://openalex.org/W1528326162","https://openalex.org/W1530168704","https://openalex.org/W1530894146","https://openalex.org/W1580381987","https://openalex.org/W1958250673","https://openalex.org/W2000806582","https://openalex.org/W2004553747","https://openalex.org/W2019945347","https://openalex.org/W2020879982","https://openalex.org/W2034621723","https://openalex.org/W2050396985","https://openalex.org/W2054969282","https://openalex.org/W2060601144","https://openalex.org/W2079640625","https://openalex.org/W2088376608","https://openalex.org/W2090319048","https://openalex.org/W2102548545","https://openalex.org/W2129064963","https://openalex.org/W2129290355","https://openalex.org/W2131478756","https://openalex.org/W2154851516","https://openalex.org/W2155415173","https://openalex.org/W2310751583","https://openalex.org/W2336397414","https://openalex.org/W2409783831","https://openalex.org/W2567087906","https://openalex.org/W2590891291","https://openalex.org/W2739060726","https://openalex.org/W2745003672","https://openalex.org/W2798338833","https://openalex.org/W2798871919","https://openalex.org/W2908220729","https://openalex.org/W2911865844","https://openalex.org/W2911874855","https://openalex.org/W2954733742","https://openalex.org/W2962743500","https://openalex.org/W2963167458","https://openalex.org/W2963887524","https://openalex.org/W3106517222","https://openalex.org/W3174705094","https://openalex.org/W3178701861","https://openalex.org/W3209644401","https://openalex.org/W4211265583","https://openalex.org/W4234269419","https://openalex.org/W4240072532","https://openalex.org/W4244792815","https://openalex.org/W4287573578"],"related_works":["https://openalex.org/W2107846795","https://openalex.org/W2004318671","https://openalex.org/W2042266169","https://openalex.org/W2315030491","https://openalex.org/W2372920785","https://openalex.org/W2550443614","https://openalex.org/W3030274415","https://openalex.org/W68628300","https://openalex.org/W1693746038","https://openalex.org/W2803019536"],"abstract_inverted_index":{"We":[0,143],"introduce":[1],"a":[2,10,33,63],"bicategorical":[3],"model":[4,23,201],"of":[5,13,16,43,52,55,66,69,101,113,122,128,148,165,169,177,183,189,202],"linear":[6,204],"logic":[7,205],"which":[8,104],"is":[9,24,60,119,158],"novel":[11],"variation":[12],"the":[14,37,41,44,120,146,166,174,181,200,207,213],"bicategory":[15,147,182],"groupoids,":[17],"profunctors,":[18,59],"and":[19,155,172,192,211],"natural":[20,156,194],"transformations.":[21,195],"Our":[22,116],"obtained":[25],"by":[26,39],"endowing":[27],"groupoids":[28,72,149],"with":[29,73,81,99,150],"additional":[30],"structure,":[31],"called":[32],"kit,":[34],"to":[35,62,95,110,215],"stabilize":[36],"profunctors":[38],"controlling":[40],"freeness":[42],"groupoid":[45],"action":[46],"on":[47,58],"profunctor":[48],"elements.":[49],"The":[50,196],"theory":[51,65],"generalized":[53],"species":[54,77,92],"structures,":[56],"based":[57],"refined":[61,89],"new":[64],"\\emph{stable":[67],"species}":[68],"structures":[70],"between":[71,84,126,187],"Boolean":[74,151,170],"kits.":[75],"Generalized":[76],"are":[78,93],"in":[79,87,97],"correspondence":[80,98],"analytic":[82,102],"functors":[83,125,186],"presheaf":[85],"categories;":[86],"our":[88],"model,":[90],"stable":[91,153,216],"shown":[94],"be":[96],"restrictions":[100],"functors,":[103,135],"we":[105],"characterize":[106],"as":[107,133],"being":[108],"stable,":[109],"full":[111],"subcategories":[112],"stabilized":[114],"presheaves.":[115],"motivating":[117],"example":[118],"class":[121],"finitary":[123,184],"polynomial":[124,185],"categories":[127,188],"indexed":[129],"sets,":[130],"also":[131],"known":[132],"normal":[134],"that":[136,145],"arises":[137],"from":[138],"kits":[139,171],"enforcing":[140],"free":[141],"actions.":[142],"show":[144],"kits,":[152],"species,":[154],"transformations":[157],"cartesian":[159,178,193,208],"closed.":[160],"This":[161],"makes":[162],"essential":[163],"use":[164],"logical":[167],"structure":[168,210],"explains":[173],"well-known":[175],"failure":[176],"closure":[179],"for":[180],"set-indexed":[190],"families":[191],"paper":[197],"additionally":[198],"develops":[199],"classical":[203],"underlying":[206],"closed":[209],"clarifies":[212],"connection":[214],"domain":[217],"theory.":[218]},"counts_by_year":[],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}
