{"id":"https://openalex.org/W3136052645","doi":"https://doi.org/10.1017/s0960129521000293","title":"Languages of higher-dimensional automata","display_name":"Languages of higher-dimensional automata","publication_year":2021,"publication_date":"2021-05-01","ids":{"openalex":"https://openalex.org/W3136052645","doi":"https://doi.org/10.1017/s0960129521000293","mag":"3136052645"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129521000293","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129521000293","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2103.07557","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016501420","display_name":"Uli Fahrenberg","orcid":"https://orcid.org/0000-0001-9094-7625"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Uli Fahrenberg","raw_affiliation_strings":["\u00c9cole Polytechnique, Palaiseau, France"],"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique, Palaiseau, France","institution_ids":["https://openalex.org/I142476485"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052790680","display_name":"Christian Johansen","orcid":"https://orcid.org/0000-0002-1525-0307"},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Christian Johansen","raw_affiliation_strings":["Norwegian University of Science and Technology, Norway"],"affiliations":[{"raw_affiliation_string":"Norwegian University of Science and Technology, Norway","institution_ids":["https://openalex.org/I204778367"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004734550","display_name":"Georg Struth","orcid":"https://orcid.org/0000-0001-9466-7815"},"institutions":[{"id":"https://openalex.org/I91136226","display_name":"University of Sheffield","ror":"https://ror.org/05krs5044","country_code":"GB","type":"education","lineage":["https://openalex.org/I91136226"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Georg Struth","raw_affiliation_strings":["University of Sheffield, UK"],"affiliations":[{"raw_affiliation_string":"University of Sheffield, UK","institution_ids":["https://openalex.org/I91136226"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064214731","display_name":"Krzysztof Ziemia\u0144ski","orcid":"https://orcid.org/0000-0001-7695-4028"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Krzysztof Ziemia\u0144ski","raw_affiliation_strings":["University of Warsaw, Poland"],"affiliations":[{"raw_affiliation_string":"University of Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5016501420"],"corresponding_institution_ids":["https://openalex.org/I142476485"],"apc_list":null,"apc_paid":null,"fwci":0.148,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.47565811,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"31","issue":"5","first_page":"575","last_page":"613"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998000264167786,"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/T12029","display_name":"DNA and Biological Computing","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9979000091552734,"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/bijection","display_name":"Bijection","score":0.7457728385925293},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6327250599861145},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.6224678754806519},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5719529390335083},{"id":"https://openalex.org/keywords/event","display_name":"Event (particle physics)","score":0.5140846371650696},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49322789907455444},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.4627509117126465},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4475649893283844},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4124467372894287},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.41197511553764343},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3760286271572113},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36621469259262085},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.2322254478931427},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.22809788584709167},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.22719493508338928},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21495026350021362},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07974818348884583}],"concepts":[{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.7457728385925293},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6327250599861145},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.6224678754806519},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5719529390335083},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.5140846371650696},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49322789907455444},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.4627509117126465},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4475649893283844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4124467372894287},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.41197511553764343},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3760286271572113},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36621469259262085},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.2322254478931427},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.22809788584709167},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.22719493508338928},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21495026350021362},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07974818348884583},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1017/s0960129521000293","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129521000293","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2103.07557","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.07557","pdf_url":"https://arxiv.org/pdf/2103.07557","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":"","raw_type":"text"},{"id":"mag:3136052645","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2103.07557.pdf","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-04540027v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04540027","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Structures in Computer Science, 2021, 31 (5), pp.575-613. &#x27E8;10.1017/S0960129521000293&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:ntnuopen.ntnu.no:11250/2985444","is_oa":true,"landing_page_url":"https://hdl.handle.net/11250/2985444","pdf_url":null,"source":{"id":"https://openalex.org/S4306401716","display_name":"Duo Research Archive (University of Oslo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184942183","host_organization_name":"University of Oslo","host_organization_lineage":["https://openalex.org/I184942183"],"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":"575-613","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2103.07557","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2103.07557","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2103.07557","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.07557","pdf_url":"https://arxiv.org/pdf/2103.07557","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W84232747","https://openalex.org/W1487534524","https://openalex.org/W1503973138","https://openalex.org/W1553245026","https://openalex.org/W1559181602","https://openalex.org/W1561267729","https://openalex.org/W1584259469","https://openalex.org/W1590074528","https://openalex.org/W1963492530","https://openalex.org/W1973708289","https://openalex.org/W1981404622","https://openalex.org/W1984801861","https://openalex.org/W1990304467","https://openalex.org/W1991052229","https://openalex.org/W1997865220","https://openalex.org/W2006300228","https://openalex.org/W2016630244","https://openalex.org/W2021339822","https://openalex.org/W2024955813","https://openalex.org/W2039290601","https://openalex.org/W2043801088","https://openalex.org/W2052547749","https://openalex.org/W2056740525","https://openalex.org/W2101939036","https://openalex.org/W2107260743","https://openalex.org/W2107876038","https://openalex.org/W2110308671","https://openalex.org/W2116438866","https://openalex.org/W2117462511","https://openalex.org/W2120713972","https://openalex.org/W2150320481","https://openalex.org/W2166572420","https://openalex.org/W2173961470","https://openalex.org/W2190677066","https://openalex.org/W2296604987","https://openalex.org/W2319725995","https://openalex.org/W2331587071","https://openalex.org/W2397501793","https://openalex.org/W2414263117","https://openalex.org/W2439559863","https://openalex.org/W2963736979","https://openalex.org/W2963912390","https://openalex.org/W2964154797","https://openalex.org/W2971296614","https://openalex.org/W3013501474","https://openalex.org/W3140099949","https://openalex.org/W3144265197","https://openalex.org/W4241072267","https://openalex.org/W6628770576","https://openalex.org/W6633768105","https://openalex.org/W6677302030","https://openalex.org/W6677302126","https://openalex.org/W6756707340"],"related_works":["https://openalex.org/W3205026340","https://openalex.org/W3162858668","https://openalex.org/W1992018052","https://openalex.org/W2081320746","https://openalex.org/W1528618285","https://openalex.org/W3136194207","https://openalex.org/W3003487439","https://openalex.org/W3013303095","https://openalex.org/W1496962851","https://openalex.org/W2949246823","https://openalex.org/W2983079851","https://openalex.org/W3178428074","https://openalex.org/W2951492900","https://openalex.org/W629264660","https://openalex.org/W1968642103","https://openalex.org/W177787971","https://openalex.org/W1498079501","https://openalex.org/W1900538423","https://openalex.org/W1601020901","https://openalex.org/W1568378341"],"abstract_inverted_index":{"Abstract":[0],"We":[1,82],"introduce":[2,33],"languages":[3,56,99],"of":[4,11,22,36,50,59,80,89,95,100],"higher-dimensional":[5],"automata":[6],"(HDAs)":[7],"and":[8,32,52,77,107,110],"develop":[9],"some":[10],"their":[12],"properties.":[13],"To":[14],"this":[15],"end,":[16],"we":[17,70],"define":[18],"a":[19,34,66,72,78],"new":[20],"category":[21],"precubical":[23,45],"sets,":[24],"uniquely":[25],"naturally":[26],"isomorphic":[27],"to":[28],"the":[29,93],"standard":[30],"one,":[31],"notion":[35],"event":[37],"consistency.":[38],"HDAs":[39,101],"are":[40,57,102],"then":[41],"finite,":[42],"labeled,":[43],"event-consistent":[44],"sets":[46,58],"with":[47],"distinguished":[48],"subsets":[49],"initial":[51],"accepting":[53],"cells.":[54],"Their":[55],"interval":[60,75,90],"orders":[61,76,91],"closed":[62,103],"under":[63,104],"subsumption;":[64],"as":[65],"major":[67],"technical":[68],"step,":[69],"expose":[71],"bijection":[73],"between":[74],"subclass":[79],"HDAs.":[81],"show":[83],"that":[84,98,111],"any":[85],"finite":[86],"subsumption-closed":[87],"set":[88],"is":[92],"language":[94,114],"an":[96],"HDA,":[97],"binary":[105],"unions":[106],"parallel":[108],"composition,":[109],"bisimilarity":[112],"implies":[113],"equivalence.":[115]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-02-25T23:00:34.991745","created_date":"2025-10-10T00:00:00"}
