{"id":"https://openalex.org/W4388940294","doi":"https://doi.org/10.46298/entics.12302","title":"Fixpoint constructions in focused orthogonality models of linear logic","display_name":"Fixpoint constructions in focused orthogonality models of linear logic","publication_year":2023,"publication_date":"2023-11-23","ids":{"openalex":"https://openalex.org/W4388940294","doi":"https://doi.org/10.46298/entics.12302"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.46298/entics.12302","pdf_url":"http://entics.episciences.org/12302/pdf","source":{"id":"https://openalex.org/S4387287474","display_name":"Electronic Notes in Theoretical Informatics and Computer Science","issn_l":"2969-2431","issn":["2969-2431"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"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},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"http://entics.episciences.org/12302/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":["University of Cambridge"],"affiliations":[{"raw_affiliation_string":"University of Cambridge","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/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210141120","display_name":"Sorbonne University Abu Dhabi","ror":"https://ror.org/03e1ymy32","country_code":"AE","type":"education","lineage":["https://openalex.org/I4210141120"]}],"countries":["AE","FR"],"is_corresponding":false,"raw_author_name":"Zeinab Galal","raw_affiliation_strings":["Sorbonne University"],"affiliations":[{"raw_affiliation_string":"Sorbonne University","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210141120"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031116359","display_name":"Farzad Jafarrahmani","orcid":null},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210141120","display_name":"Sorbonne University Abu Dhabi","ror":"https://ror.org/03e1ymy32","country_code":"AE","type":"education","lineage":["https://openalex.org/I4210141120"]}],"countries":["AE","FR"],"is_corresponding":false,"raw_author_name":"Farzad Jafarrahmani","raw_affiliation_strings":["Sorbonne University"],"affiliations":[{"raw_affiliation_string":"Sorbonne University","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210141120"]}]}],"institution_assertions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.403,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":1,"citation_normalized_percentile":{"value":0.626095,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":68,"max":79},"biblio":{"volume":"Volume 3 - Proceedings of...","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.999,"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":0.999,"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/T10142","display_name":"Formal Methods in Verification","score":0.9949,"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"}},{"id":"https://openalex.org/T10260","display_name":"Software Engineering Research","score":0.984,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/orthogonality","display_name":"Orthogonality","score":0.8353083},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.6126671},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.5063821},{"id":"https://openalex.org/keywords/lift","display_name":"Lift (data mining)","score":0.47599968}],"concepts":[{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.8353083},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.7628427},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6685196},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.6126671},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5111671},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5063821},{"id":"https://openalex.org/C139002025","wikidata":"https://www.wikidata.org/wiki/Q3001212","display_name":"Lift (data mining)","level":2,"score":0.47599968},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.45532325},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29415122},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.29332718},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27204877},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07861373},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.46298/entics.12302","pdf_url":"http://entics.episciences.org/12302/pdf","source":{"id":"https://openalex.org/S4387287474","display_name":"Electronic Notes in Theoretical Informatics and Computer Science","issn_l":"2969-2431","issn":["2969-2431"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"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},{"is_oa":true,"landing_page_url":"https://www.repository.cam.ac.uk/handle/1810/364327","pdf_url":"https://www.repository.cam.ac.uk/bitstreams/3d42c4da-332e-41af-9577-4f2803963cc5/download","source":{"id":"https://openalex.org/S4306401777","display_name":"Apollo (University of Cambridge)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I241749","host_organization_name":"University of Cambridge","host_organization_lineage":["https://openalex.org/I241749"],"host_organization_lineage_names":["University of Cambridge"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2309.10084","pdf_url":"https://arxiv.org/pdf/2309.10084","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.46298/entics.12302","pdf_url":"http://entics.episciences.org/12302/pdf","source":{"id":"https://openalex.org/S4387287474","display_name":"Electronic Notes in Theoretical Informatics and Computer Science","issn_l":"2969-2431","issn":["2969-2431"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"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},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":28,"referenced_works":["https://openalex.org/W130884383","https://openalex.org/W147093031","https://openalex.org/W1552101395","https://openalex.org/W2033104047","https://openalex.org/W2048626648","https://openalex.org/W2054969282","https://openalex.org/W2072411754","https://openalex.org/W2079873887","https://openalex.org/W2080801189","https://openalex.org/W2086788473","https://openalex.org/W2086979625","https://openalex.org/W2088881461","https://openalex.org/W2090319048","https://openalex.org/W2095747698","https://openalex.org/W2102357532","https://openalex.org/W2102548545","https://openalex.org/W2129290355","https://openalex.org/W2149837936","https://openalex.org/W2293486267","https://openalex.org/W2376140444","https://openalex.org/W2519501411","https://openalex.org/W3175720757","https://openalex.org/W3186969666","https://openalex.org/W4211080362","https://openalex.org/W4241603199","https://openalex.org/W4256453086","https://openalex.org/W4392616861","https://openalex.org/W79336753"],"related_works":["https://openalex.org/W834942123","https://openalex.org/W4232542516","https://openalex.org/W3176637561","https://openalex.org/W2993249520","https://openalex.org/W2095582735","https://openalex.org/W2059318893","https://openalex.org/W1967331680","https://openalex.org/W1965698851","https://openalex.org/W1587967017","https://openalex.org/W130629949"],"abstract_inverted_index":{"Orthogonality":[0],"is":[1,25],"a":[2,26,40,72],"notion":[3],"based":[4],"on":[5,95],"the":[6,44,65,96],"duality":[7],"between":[8],"programs":[9],"and":[10,60,89,119],"their":[11],"environments":[12],"used":[13,135],"to":[14,29,131,136,142],"determine":[15],"when":[16],"they":[17],"can":[18],"be":[19],"safely":[20],"combined.":[21],"For":[22],"instance,":[23],"it":[24],"powerful":[27],"tool":[28],"establish":[30],"termination":[31],"properties":[32],"in":[33,77],"classical":[34],"formal":[35],"systems.":[36],"It":[37],"was":[38],"given":[39],"general":[41],"treatment":[42],"with":[43,117],"concept":[45],"of":[46,49,53,67,74,114,122],"orthogonality":[47,79,100,144],"category,":[48],"which":[50],"numerous":[51],"models":[52,113],"linear":[54,115],"logic":[55,116],"are":[56,83,102],"instances,":[57],"by":[58],"Hyland":[59],"Schalk.":[61],"This":[62],"paper":[63],"considers":[64],"subclass":[66],"focused":[68,78,99,143],"orthogonalities.":[69],"We":[70,124],"develop":[71],"theory":[73,106],"fixpoint":[75],"constructions":[76],"categories.":[80,145],"Central":[81],"results":[82],"lifting":[84],"theorems":[85],"for":[86,112],"initial":[87],"algebras":[88],"final":[90],"coalgebras.":[91],"These":[92],"crucially":[93],"hinge":[94],"insight":[97],"that":[98],"categories":[101],"relational":[103],"fibrations.":[104],"The":[105],"provides":[107],"an":[108],"axiomatic":[109],"categorical":[110],"framework":[111],"least":[118],"greatest":[120],"fixpoints":[121],"types.":[123],"further":[125],"investigate":[126],"domain-theoretic":[127],"settings,":[128],"showing":[129],"how":[130],"lift":[132],"bifree":[133],"algebras,":[134],"solve":[137],"mixed-variance":[138],"recursive":[139],"type":[140],"equations,":[141]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4388940294","counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2024-12-06T03:25:44.193485","created_date":"2023-11-24"}