{"id":"https://openalex.org/W2576183339","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":"2019-08-09","ids":{"openalex":"https://openalex.org/W2576183339","doi":"https://doi.org/10.23638/lmcs-15(3:15)2019","mag":"2576183339"},"language":"en","primary_location":{"id":"doi:10.23638/lmcs-15(3:15)2019","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-15(3:15)2019","pdf_url":"https://lmcs.episciences.org/5681/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":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/5681/pdf","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":[],"countries":[],"is_corresponding":true,"raw_author_name":"Aleks Kissinger","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-6090-9684","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5081827324","display_name":"Sander Uijlen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sander Uijlen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023841122"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3521,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.8107811,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"Volume 15, Issue 3","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9932000041007996,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9916999936103821,"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/causal-structure","display_name":"Causal structure","score":0.7532627582550049},{"id":"https://openalex.org/keywords/categorical-quantum-mechanics","display_name":"Categorical quantum mechanics","score":0.7490929365158081},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.626064121723175},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.61428302526474},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6127718687057495},{"id":"https://openalex.org/keywords/diagrammatic-reasoning","display_name":"Diagrammatic reasoning","score":0.5429002046585083},{"id":"https://openalex.org/keywords/category-theory","display_name":"Category theory","score":0.5361741781234741},{"id":"https://openalex.org/keywords/causality","display_name":"Causality (physics)","score":0.5241056680679321},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.516939103603363},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4794396460056305},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4509614408016205},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4075339436531067},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3871055245399475},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.26375049352645874},{"id":"https://openalex.org/keywords/quantum-process","display_name":"Quantum process","score":0.25591638684272766},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16553077101707458},{"id":"https://openalex.org/keywords/quantum-dynamics","display_name":"Quantum dynamics","score":0.10093832015991211},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09040656685829163}],"concepts":[{"id":"https://openalex.org/C163504300","wikidata":"https://www.wikidata.org/wiki/Q2364925","display_name":"Causal structure","level":2,"score":0.7532627582550049},{"id":"https://openalex.org/C105295557","wikidata":"https://www.wikidata.org/wiki/Q5051814","display_name":"Categorical quantum mechanics","level":5,"score":0.7490929365158081},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.626064121723175},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.61428302526474},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6127718687057495},{"id":"https://openalex.org/C106624574","wikidata":"https://www.wikidata.org/wiki/Q5270387","display_name":"Diagrammatic reasoning","level":2,"score":0.5429002046585083},{"id":"https://openalex.org/C54884031","wikidata":"https://www.wikidata.org/wiki/Q217413","display_name":"Category theory","level":2,"score":0.5361741781234741},{"id":"https://openalex.org/C64357122","wikidata":"https://www.wikidata.org/wiki/Q1149766","display_name":"Causality (physics)","level":2,"score":0.5241056680679321},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.516939103603363},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4794396460056305},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4509614408016205},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4075339436531067},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3871055245399475},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26375049352645874},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.25591638684272766},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16553077101707458},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.10093832015991211},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09040656685829163},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.23638/lmcs-15(3:15)2019","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-15(3:15)2019","pdf_url":"https://lmcs.episciences.org/5681/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:arXiv.org:1701.04732","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1701.04732","pdf_url":"https://arxiv.org/pdf/1701.04732","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.1701.04732","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1701.04732","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.23638/lmcs-15(3:15)2019","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-15(3:15)2019","pdf_url":"https://lmcs.episciences.org/5681/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":[],"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/W2576183339.pdf","grobid_xml":"https://content.openalex.org/works/W2576183339.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1524313545","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/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/W2102548545","https://openalex.org/W2126603822","https://openalex.org/W2147046421","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/W2739060726","https://openalex.org/W2746809640","https://openalex.org/W2750587176","https://openalex.org/W2964217961","https://openalex.org/W3099661673","https://openalex.org/W3103068290","https://openalex.org/W3106490617","https://openalex.org/W3133236490"],"related_works":["https://openalex.org/W2964150073","https://openalex.org/W4300855882","https://openalex.org/W2164569390","https://openalex.org/W3023538745","https://openalex.org/W1922299434","https://openalex.org/W2576183339","https://openalex.org/W2964217961","https://openalex.org/W3180855406","https://openalex.org/W3023699883","https://openalex.org/W1985079222"],"abstract_inverted_index":{"We":[0,64],"present":[1],"a":[2,10,49,58,120,157,171,214],"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":[13,20,38,61,74,109,140,151,170,174,185,193,202,213],"process":[14,149],"theories":[15],"that":[16,66,137],"include":[17],"the":[18,36,145,148,182,219],"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":[79,218],"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],"Comment:":[210],"Extended":[211],"version":[212],"LICS":[215],"2017":[216],"paper":[217],"same":[220],"title":[221]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-11T06:11:40.159057","created_date":"2025-10-10T00:00:00"}
