{"id":"https://openalex.org/W4384344670","doi":"https://doi.org/10.1109/lics56636.2023.10175754","title":"The Cartesian Closed Bicategory of Thin Spans of Groupoids","display_name":"The Cartesian Closed Bicategory of Thin Spans of Groupoids","publication_year":2023,"publication_date":"2023-06-26","ids":{"openalex":"https://openalex.org/W4384344670","doi":"https://doi.org/10.1109/lics56636.2023.10175754"},"language":"en","primary_location":{"id":"doi:10.1109/lics56636.2023.10175754","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/lics56636.2023.10175754","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 38th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-04244640/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008333115","display_name":"Pierre Clairambault","orcid":"https://orcid.org/0000-0002-3285-6028"},"institutions":[{"id":"https://openalex.org/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre Clairambault","raw_affiliation_strings":["Aix Marseille Univ, Universit&#x00E9; de Toulon,CNRS, LIS,Marseille"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aix Marseille Univ, Universit&#x00E9; de Toulon,CNRS, LIS,Marseille","institution_ids":["https://openalex.org/I143002897"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056266268","display_name":"Simon Forest","orcid":"https://orcid.org/0000-0003-4311-1678"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Simon Forest","raw_affiliation_strings":["Aix Marseille Univ,CNRS, I2M,Marseille,France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aix Marseille Univ,CNRS, I2M,Marseille,France","institution_ids":["https://openalex.org/I4210160189","https://openalex.org/I1294671590","https://openalex.org/I21491767"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3247,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63933635,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"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":0.9994000196456909,"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":0.9925000071525574,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9847000241279602,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/computer-science","display_name":"Computer science","score":0.6355911493301392},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.6017686128616333},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.5821363925933838},{"id":"https://openalex.org/keywords/morphism","display_name":"Morphism","score":0.5801901817321777},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4667791426181793},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4610966444015503},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.45845526456832886},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.44193100929260254},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.433207631111145},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.397085577249527},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3048492670059204},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.23518520593643188},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17529308795928955}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6355911493301392},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.6017686128616333},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.5821363925933838},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.5801901817321777},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4667791426181793},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4610966444015503},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.45845526456832886},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.44193100929260254},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.433207631111145},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.397085577249527},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3048492670059204},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.23518520593643188},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17529308795928955},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/lics56636.2023.10175754","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/lics56636.2023.10175754","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 38th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-04244640v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04244640","pdf_url":"https://hal.science/hal-04244640/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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2023 38th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), Jun 2023, Boston, United States. pp.1-13, &#x27E8;10.1109/LICS56636.2023.10175754&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04244640v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04244640","pdf_url":"https://hal.science/hal-04244640/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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2023 38th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), Jun 2023, Boston, United States. pp.1-13, &#x27E8;10.1109/LICS56636.2023.10175754&#x27E9;","raw_type":"Conference papers"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.5799999833106995,"display_name":"Quality Education"}],"awards":[{"id":"https://openalex.org/G1689734393","display_name":"Dynamic Versatile Semantics","funder_award_id":"ANR-19-CE48-0010","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2077788320","display_name":null,"funder_award_id":"ANR-19-CE48-0010-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2191957979","display_name":null,"funder_award_id":"ANR-22-PETQ-0007","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2233425273","display_name":null,"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/G2726473892","display_name":null,"funder_award_id":"ANR-11-IDEX-0007","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3584739849","display_name":null,"funder_award_id":"ANR-10-LABX-0070","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G4866930200","display_name":null,"funder_award_id":"ANR-11-IDEX","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G5701317573","display_name":null,"funder_award_id":"11-IDEX-0007","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6494969328","display_name":null,"funder_award_id":"ANR-10-LABX-0070","funder_id":"https://openalex.org/F4320326804","funder_display_name":"Universit\u00e9 de Lyon"},{"id":"https://openalex.org/G6612625481","display_name":null,"funder_award_id":"France 2030","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7211054625","display_name":null,"funder_award_id":"ANR-11-IDEX-0007","funder_id":"https://openalex.org/F4320326804","funder_display_name":"Universit\u00e9 de Lyon"},{"id":"https://openalex.org/G7240651115","display_name":null,"funder_award_id":"ANR-10","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8266173377","display_name":null,"funder_award_id":"19-CE48-0014","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8318455765","display_name":null,"funder_award_id":"ANR-19","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320326804","display_name":"Universit\u00e9 de Lyon","ror":"https://ror.org/01rk35k63"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4384344670.pdf","grobid_xml":"https://content.openalex.org/works/W4384344670.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W1566715239","https://openalex.org/W1677393765","https://openalex.org/W1958250673","https://openalex.org/W1976188956","https://openalex.org/W1995251574","https://openalex.org/W2000806582","https://openalex.org/W2008699979","https://openalex.org/W2024189573","https://openalex.org/W2048626648","https://openalex.org/W2059456146","https://openalex.org/W2072411754","https://openalex.org/W2079873887","https://openalex.org/W2081694512","https://openalex.org/W2102548545","https://openalex.org/W2115141955","https://openalex.org/W2165446401","https://openalex.org/W2798871919","https://openalex.org/W2899662671","https://openalex.org/W2911865844","https://openalex.org/W2911874855","https://openalex.org/W2949856211","https://openalex.org/W2963573740","https://openalex.org/W2965115827","https://openalex.org/W2965374511","https://openalex.org/W2995530096","https://openalex.org/W3028421255","https://openalex.org/W3037493506","https://openalex.org/W3080239152","https://openalex.org/W3174705094","https://openalex.org/W3180096782","https://openalex.org/W3183674410","https://openalex.org/W3192138410","https://openalex.org/W3205541275","https://openalex.org/W4205864028","https://openalex.org/W4244792815","https://openalex.org/W4293467974","https://openalex.org/W4315605939","https://openalex.org/W4381707615","https://openalex.org/W6632123833","https://openalex.org/W6640697532","https://openalex.org/W6746824692","https://openalex.org/W6748322656","https://openalex.org/W6779995812","https://openalex.org/W6781913068","https://openalex.org/W6798215820","https://openalex.org/W6798366954"],"related_works":["https://openalex.org/W2952244080","https://openalex.org/W1481670130","https://openalex.org/W856865640","https://openalex.org/W2609707471","https://openalex.org/W2964042565","https://openalex.org/W1630648544","https://openalex.org/W1922213673","https://openalex.org/W3210901769","https://openalex.org/W4226313719","https://openalex.org/W2384722316"],"abstract_inverted_index":{"Recently,":[0],"there":[1],"has":[2],"been":[3],"growing":[4],"interest":[5],"in":[6,15],"bicategorical":[7],"models":[8,91],"of":[9,23,54,66,81,122,148,151],"programming":[10],"languages,":[11],"which":[12,137],"are":[13,87,92,155,163,177],"\"proof-relevant\"":[14],"the":[16,28,84,95,100,120,145,171,181,202],"sense":[17],"that":[18,102,201],"they":[19],"keep":[20],"distinct":[21],"account":[22],"execution":[24],"traces":[25],"leading":[26],"to":[27,37,60,69,78,187],"same":[29],"observable":[30],"outcomes,":[31],"while":[32],"assigning":[33],"a":[34,46,49,131,195],"formal":[35],"meaning":[36],"reduction":[38],"paths":[39],"as":[40,77],"isomorphisms.In":[41],"this":[42],"paper":[43],"we":[44],"introduce":[45],"new":[47],"model,":[48],"bicategory":[50,146,204],"called":[51],"thin":[52,117,149],"spans":[53,150,164],"groupoids.":[55,152],"Conceptually":[56],"it":[57],"is":[58,97,112,206],"close":[59],"Fiore":[61],"et":[62],"al.\u2019s":[63],"generalized":[64],"species":[65],"structures":[67],"and":[68,83,174,198],"Melli\u00e8s\u2019":[70],"homotopy":[71],"template":[72],"games,":[73],"but":[74,127],"fundamentally":[75],"differs":[76],"how":[79],"replication":[80],"resources":[82],"resulting":[85],"symmetries":[86,108],"treated.":[88],"Where":[89],"those":[90],"saturated":[93],"\u2013":[94,109],"interpretation":[96,121],"inflated":[98],"by":[99],"fact":[101],"semantic":[103,128],"individuals":[104,129],"may":[105],"carry":[106],"arbitrary":[107],"our":[110],"model":[111],"thin,":[113],"drawing":[114],"inspiration":[115],"from":[116],"concurrent":[118],"games:":[119],"terms":[123],"carries":[124],"no":[125],"symmetries,":[126],"satisfy":[130],"subtle":[132],"invariant":[133],"defined":[134],"via":[135,166],"biorthogonality,":[136],"guarantees":[138],"their":[139],"invariance":[140],"under":[141],"symmetry.We":[142],"first":[143],"build":[144],"Thin":[147,193],"Its":[153],"objects":[154],"certain":[156],"groupoids":[157],"with":[158,169,194],"additional":[159],"structure,":[160],"its":[161,175],"morphisms":[162,179],"composed":[165],"plain":[167],"pullback":[168],"identities":[170],"identity":[172],"spans,":[173],"2-cells":[176],"span":[178],"making":[180],"induced":[182],"triangles":[183],"commute":[184],"only":[185],"up":[186],"natural":[188],"isomorphism.":[189],"We":[190],"then":[191],"equip":[192],"pseudocomonad":[196],"!,":[197],"finally":[199],"show":[200],"Kleisli":[203],"Thin<inf>!</inf>":[205],"cartesian":[207],"closed.":[208]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-06-17T08:01:34.144755","created_date":"2025-10-10T00:00:00"}
