{"id":"https://openalex.org/W4409121880","doi":"https://doi.org/10.23638/lmcs-15(3:15)2019","title":"A CATEGORICAL SEMANTICS FOR CAUSAL STRUCTURE","display_name":"A CATEGORICAL SEMANTICS FOR CAUSAL STRUCTURE","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W4409121880","doi":"https://doi.org/10.23638/lmcs-15(3:15)2019"},"language":"en","primary_location":{"id":"pmh:ru:oai:repository.ubn.ru.nl:2066/207822","is_oa":true,"landing_page_url":"http://hdl.handle.net/2066/207822","pdf_url":"http://hdl.handle.net/2066/207822","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":"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, 15, 1 - 48","raw_type":"info:eu-repo/semantics/article"},"type":"article","indexed_in":["doaj"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2066/207822","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023841122","display_name":"Aleks Kissinger","orcid":"https://orcid.org/0000-0002-6090-9684"},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]},{"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","NL"],"is_corresponding":false,"raw_author_name":"Kissinger, Aleks","raw_affiliation_strings":["Radboud University","University of Oxford"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Radboud University","institution_ids":["https://openalex.org/I145872427"]},{"raw_affiliation_string":"University of Oxford","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081827324","display_name":"Sander Uijlen","orcid":null},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]},{"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","NL"],"is_corresponding":true,"raw_author_name":"Uijlen, S.","raw_affiliation_strings":["Radboud University","University of Oxford"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Radboud University","institution_ids":["https://openalex.org/I145872427"]},{"raw_affiliation_string":"University of Oxford","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081827324"],"corresponding_institution_ids":["https://openalex.org/I145872427","https://openalex.org/I40120149"],"apc_list":null,"apc_paid":null,"fwci":1.4518,"has_fulltext":true,"cited_by_count":24,"citation_normalized_percentile":{"value":0.87349522,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9930999875068665,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9930999875068665,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9861000180244446,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9793999791145325,"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/semantics","display_name":"Semantics (computer science)","score":0.5826027989387512},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5763363838195801},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.4631613492965698},{"id":"https://openalex.org/keywords/natural-language-processing","display_name":"Natural language processing","score":0.4293501675128937},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3632153272628784}],"concepts":[{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.5826027989387512},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5763363838195801},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.4631613492965698},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.4293501675128937},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3632153272628784},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:ru:oai:repository.ubn.ru.nl:2066/207822","is_oa":true,"landing_page_url":"http://hdl.handle.net/2066/207822","pdf_url":"http://hdl.handle.net/2066/207822","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":"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, 15, 1 - 48","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:bab4df2d7c5f41fc8af9948e95feda06","is_oa":true,"landing_page_url":"https://doaj.org/article/bab4df2d7c5f41fc8af9948e95feda06","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 15, Issue 3 (2019)","raw_type":"article"}],"best_oa_location":{"id":"pmh:ru:oai:repository.ubn.ru.nl:2066/207822","is_oa":true,"landing_page_url":"http://hdl.handle.net/2066/207822","pdf_url":"http://hdl.handle.net/2066/207822","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":"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, 15, 1 - 48","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4031590434","display_name":null,"funder_award_id":"320571","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4409121880.pdf","grobid_xml":"https://content.openalex.org/works/W4409121880.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1516224330","https://openalex.org/W1532754343","https://openalex.org/W1968493380","https://openalex.org/W1968495841","https://openalex.org/W1975062332","https://openalex.org/W1985079222","https://openalex.org/W2012990957","https://openalex.org/W2018305040","https://openalex.org/W2018773995","https://openalex.org/W2020726398","https://openalex.org/W2041922678","https://openalex.org/W2067931273","https://openalex.org/W2069974662","https://openalex.org/W2071312622","https://openalex.org/W2075809190","https://openalex.org/W2090319048","https://openalex.org/W2092857006","https://openalex.org/W2102548545","https://openalex.org/W2113152322","https://openalex.org/W2126603822","https://openalex.org/W2315223786","https://openalex.org/W2473976255","https://openalex.org/W2526522103","https://openalex.org/W2538638017","https://openalex.org/W2563256558","https://openalex.org/W2571843382","https://openalex.org/W2574983198","https://openalex.org/W2739060726","https://openalex.org/W2750587176","https://openalex.org/W2952114617","https://openalex.org/W3099661673","https://openalex.org/W3103068290","https://openalex.org/W3103473269","https://openalex.org/W3106490617","https://openalex.org/W3142621357","https://openalex.org/W4246285206","https://openalex.org/W4293676661","https://openalex.org/W4299515571","https://openalex.org/W4409121880"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4386799044","https://openalex.org/W2773208253","https://openalex.org/W2560646951","https://openalex.org/W4297454206","https://openalex.org/W65104662","https://openalex.org/W1871748041","https://openalex.org/W2362286668"],"abstract_inverted_index":{"We":[0,64],"present":[1],"a":[2,10,49,58,120,157,171],"categorical":[3,33],"construction":[4],"for":[5,52,57],"modelling":[6],"causal":[7,43,62,82,122,129,187,194],"structures":[8,195],"within":[9,32,196],"general":[11,103],"class":[12,60],"of":[13,20,38,61,74,109,140,151,170,174,185,193,202],"process":[14,149],"theories":[15],"that":[16,66,137],"include":[17],"the":[18,36,145,148,182],"theory":[19,40,113],"classical":[21,110,158],"probabilistic":[22],"processes":[23,75,115,139,175],"as":[24,26,144,179],"well":[25],"quantum":[27,34,97,112,146],"theory.":[28],"Unlike":[29],"prior":[30],"constructions":[31],"mechanics,":[35],"objects":[37],"this":[39,67,133,141],"encode":[41],"fine-grained":[42],"relationships":[44],"between":[45],"subsystems":[46],"and":[47,54,96,111,154,156,165],"give":[48,200],"new":[50],"method":[51],"expressing":[53],"deriving":[55],"consequences":[56],"broad":[59],"structures.":[63],"show":[65,136],"framework":[68,101],"enables":[69],"one":[70,86],"to":[71,105,118,162,178],"define":[72,88],"families":[73,192],"which":[76],"are":[77,167],"consistent":[78],"with":[79],"arbitrary":[80],"acyclic":[81],"orderings.":[83],"In":[84],"particular,":[85],"can":[87],"one-way":[89],"signalling":[90],"(a.k.a.":[91],"semi-causal)":[92],"processes,":[93,95],"non-signalling":[94],"$n$-combs.":[98],"Furthermore,":[99],"our":[100,197],"is":[102],"enough":[104],"accommodate":[106],"recently-proposed":[107],"generalisations":[108],"where":[114],"only":[116],"need":[117],"have":[119],"fixed":[121],"ordering":[123],"locally,":[124],"but":[125],"globally":[126],"allow":[127],"indefinite":[128],"ordering.":[130],"To":[131],"illustrate":[132],"point,":[134],"we":[135,176,199],"certain":[138,172],"kind,":[142],"such":[143],"switch,":[147],"matrices":[150],"Oreshkov,":[152],"Costa,":[153],"Brukner,":[155],"three-party":[159],"example":[160],"due":[161],"Baumeler,":[163],"Feix,":[164],"Wolf":[166],"all":[168],"instances":[169],"family":[173],"refer":[177],"$\\textrm{SOC}_n$":[180],"in":[181],"appropriate":[183],"category":[184],"higher-order":[186],"processes.":[188],"After":[189],"defining":[190],"these":[191],"framework,":[198],"derivations":[201],"their":[203],"operational":[204],"behaviour":[205],"using":[206],"simple,":[207],"diagrammatic":[208],"axioms.":[209]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":7},{"year":2019,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
