{"id":"https://openalex.org/W3037879002","doi":"https://doi.org/10.46298/lmcs-18(4:9)2022","title":"Algebraic coherent confluence and higher-dimensional globular Kleene algebras","display_name":"Algebraic coherent confluence and higher-dimensional globular Kleene algebras","publication_year":2020,"publication_date":"2020-06-01","ids":{"openalex":"https://openalex.org/W3037879002","doi":"https://doi.org/10.46298/lmcs-18(4:9)2022","mag":"3037879002"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2006.16129","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.16129","pdf_url":"https://arxiv.org/pdf/2006.16129","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},"type":"preprint","indexed_in":["arxiv"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2006.16129","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059622355","display_name":"Cameron Calk","orcid":null},"institutions":[{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Calk, Cameron","raw_affiliation_strings":["Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau]","institution_ids":["https://openalex.org/I4210139461"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031488505","display_name":"\u00c9ric Goubault","orcid":"https://orcid.org/0000-0002-3198-1863"},"institutions":[{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Goubault, Eric","raw_affiliation_strings":["Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau]","institution_ids":["https://openalex.org/I4210139461"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063718422","display_name":"Philippe Malbos","orcid":"https://orcid.org/0000-0003-4449-0091"},"institutions":[{"id":"https://openalex.org/I4210146074","display_name":"Analyse, G\u00e9om\u00e9trie et Mod\u00e9lisation","ror":"https://ror.org/03qgt2624","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210141950","https://openalex.org/I4210142324","https://openalex.org/I4210146074"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Malbos, Philippe","raw_affiliation_strings":["Alg\u00e8bre, g\u00e9om\u00e9trie, logique","Institut Camille Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Alg\u00e8bre, g\u00e9om\u00e9trie, logique","institution_ids":["https://openalex.org/I4210146074"]},{"raw_affiliation_string":"Institut Camille Jordan","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004734550","display_name":"Georg Struth","orcid":"https://orcid.org/0000-0001-9466-7815"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Struth, Georg","raw_affiliation_strings":["Department of Computer Sciences [Scheffield]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences [Scheffield]","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5059622355"],"corresponding_institution_ids":["https://openalex.org/I4210139461"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"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":0.9977999925613403,"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":0.9977999925613403,"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/T11549","display_name":"Synthetic Organic Chemistry Methods","score":0.9781000018119812,"subfield":{"id":"https://openalex.org/subfields/1605","display_name":"Organic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"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":0.9776999950408936,"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/confluence","display_name":"Confluence","score":0.9856661558151245},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6463207006454468},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5324137210845947},{"id":"https://openalex.org/keywords/globular-cluster","display_name":"Globular cluster","score":0.5303177237510681},{"id":"https://openalex.org/keywords/kleene-algebra","display_name":"Kleene algebra","score":0.5093809366226196},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4592463970184326},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45498529076576233},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.314785897731781},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27337998151779175},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.18418902158737183},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.15346986055374146},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12026333808898926},{"id":"https://openalex.org/keywords/astronomy","display_name":"Astronomy","score":0.08920866250991821}],"concepts":[{"id":"https://openalex.org/C77906462","wikidata":"https://www.wikidata.org/wiki/Q1140902","display_name":"Confluence","level":2,"score":0.9856661558151245},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6463207006454468},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5324137210845947},{"id":"https://openalex.org/C113461152","wikidata":"https://www.wikidata.org/wiki/Q11276","display_name":"Globular cluster","level":3,"score":0.5303177237510681},{"id":"https://openalex.org/C206470798","wikidata":"https://www.wikidata.org/wiki/Q2634506","display_name":"Kleene algebra","level":2,"score":0.5093809366226196},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4592463970184326},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45498529076576233},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.314785897731781},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27337998151779175},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.18418902158737183},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.15346986055374146},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12026333808898926},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.08920866250991821},{"id":"https://openalex.org/C98444146","wikidata":"https://www.wikidata.org/wiki/Q318","display_name":"Galaxy","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2006.16129","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.16129","pdf_url":"https://arxiv.org/pdf/2006.16129","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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:HAL:hal-03161580v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03161580","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.science/hal-03161580","raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2006.16129","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.16129","pdf_url":"https://arxiv.org/pdf/2006.16129","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1496412704","https://openalex.org/W1508490157","https://openalex.org/W1978362621","https://openalex.org/W1979101142","https://openalex.org/W1981049756","https://openalex.org/W1992205482","https://openalex.org/W1993315725","https://openalex.org/W1994625171","https://openalex.org/W1998368317","https://openalex.org/W2001616837","https://openalex.org/W2003970329","https://openalex.org/W2045528636","https://openalex.org/W2049452854","https://openalex.org/W2049894505","https://openalex.org/W2088405398","https://openalex.org/W2092347581","https://openalex.org/W2096490078","https://openalex.org/W2119087119","https://openalex.org/W2323378191","https://openalex.org/W2504554707","https://openalex.org/W2777301030","https://openalex.org/W2962915403","https://openalex.org/W2962978387","https://openalex.org/W3099900407","https://openalex.org/W3102094360"],"related_works":["https://openalex.org/W3149147109","https://openalex.org/W2090659419","https://openalex.org/W2350400650","https://openalex.org/W158305784","https://openalex.org/W2491573813","https://openalex.org/W2756261468","https://openalex.org/W1780349552","https://openalex.org/W3037879002","https://openalex.org/W4387648138","https://openalex.org/W2751282233"],"abstract_inverted_index":{"We":[0,37,55],"extend":[1],"the":[2,21,60],"formalisation":[3,12],"of":[4,13,23,31,62],"confluence":[5,15],"results":[6,58],"in":[7,48,59],"Kleene":[8,26,35,50],"algebras":[9,51],"to":[10],"a":[11,28,39,44],"coherent":[14,40,45],"proofs.":[16],"For":[17],"this,":[18],"we":[19],"introduce":[20],"structure":[22],"higher":[24,49,63],"globular":[25],"algebra,":[27],"higher-dimensional":[29],"generalisation":[30],"modal":[32],"and":[33,43],"concurrent":[34],"algebra.":[36],"calculate":[38],"Church-Rosser":[41],"theorem":[42],"Newman's":[46],"lemma":[47],"by":[52,67],"equational":[53],"reasoning.":[54],"instantiate":[56],"these":[57],"context":[61],"rewriting":[64],"systems":[65],"modelled":[66],"polygraphs.":[68]},"counts_by_year":[{"year":2021,"cited_by_count":4}],"updated_date":"2026-04-28T14:05:53.105641","created_date":"2025-10-10T00:00:00"}