{"id":"https://openalex.org/W2759523323","doi":"https://doi.org/10.1145/3331445","title":"On the Expressive Power of Query Languages for Matrices","display_name":"On the Expressive Power of Query Languages for Matrices","publication_year":2019,"publication_date":"2019-10-15","ids":{"openalex":"https://openalex.org/W2759523323","doi":"https://doi.org/10.1145/3331445","mag":"2759523323"},"language":"en","primary_location":{"id":"doi:10.1145/3331445","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3331445","pdf_url":null,"source":{"id":"https://openalex.org/S90119964","display_name":"ACM Transactions on Database Systems","issn_l":"0362-5915","issn":["0362-5915","1557-4644"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Database Systems","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1709.08359","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057971093","display_name":"Robert Brijder","orcid":"https://orcid.org/0000-0002-8912-1735"},"institutions":[{"id":"https://openalex.org/I878454856","display_name":"Hasselt University","ror":"https://ror.org/04nbhqj75","country_code":"BE","type":"education","lineage":["https://openalex.org/I878454856"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Robert Brijder","raw_affiliation_strings":["Hasselt University, Martelarenlaan, Hasselt, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hasselt University, Martelarenlaan, Hasselt, Belgium","institution_ids":["https://openalex.org/I878454856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087587379","display_name":"Floris Geerts","orcid":"https://orcid.org/0000-0002-8967-2473"},"institutions":[{"id":"https://openalex.org/I149213910","display_name":"University of Antwerp","ror":"https://ror.org/008x57b05","country_code":"BE","type":"education","lineage":["https://openalex.org/I149213910"]},{"id":"https://openalex.org/I4210111370","display_name":"ZNA Middelheim Hospital","ror":"https://ror.org/01z5jvj74","country_code":"BE","type":"healthcare","lineage":["https://openalex.org/I4210111370"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Floris Geerts","raw_affiliation_strings":["University of Antwerp, Middelheimlaan, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Antwerp, Middelheimlaan, Belgium","institution_ids":["https://openalex.org/I4210111370","https://openalex.org/I149213910"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089823917","display_name":"Jan Van den Bussche","orcid":"https://orcid.org/0000-0003-0072-3252"},"institutions":[{"id":"https://openalex.org/I878454856","display_name":"Hasselt University","ror":"https://ror.org/04nbhqj75","country_code":"BE","type":"education","lineage":["https://openalex.org/I878454856"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Jan Van Den Bussche","raw_affiliation_strings":["Hasselt University, Martelarenlaan, Hasselt, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hasselt University, Martelarenlaan, Hasselt, Belgium","institution_ids":["https://openalex.org/I878454856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088449345","display_name":"Timmy Weerwag","orcid":"https://orcid.org/0000-0002-3993-7541"},"institutions":[{"id":"https://openalex.org/I878454856","display_name":"Hasselt University","ror":"https://ror.org/04nbhqj75","country_code":"BE","type":"education","lineage":["https://openalex.org/I878454856"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Timmy Weerwag","raw_affiliation_strings":["Hasselt University, Martelarenlaan, Hasselt, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hasselt University, Martelarenlaan, Hasselt, Belgium","institution_ids":["https://openalex.org/I878454856"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1559,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.55588513,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"44","issue":"4","first_page":"1","last_page":"31"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10317","display_name":"Advanced Database Systems and Queries","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T12292","display_name":"Graph Theory and Algorithms","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/transitive-closure","display_name":"Transitive closure","score":0.6775190234184265},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.62856525182724},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5707290172576904},{"id":"https://openalex.org/keywords/expressive-power","display_name":"Expressive power","score":0.5375800728797913},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4777364134788513},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.4679388403892517},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.46078526973724365},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.43840548396110535},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43296343088150024},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4168991148471832},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3619389533996582},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14823845028877258},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.0748632550239563}],"concepts":[{"id":"https://openalex.org/C128896722","wikidata":"https://www.wikidata.org/wiki/Q1501387","display_name":"Transitive closure","level":2,"score":0.6775190234184265},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.62856525182724},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5707290172576904},{"id":"https://openalex.org/C195818886","wikidata":"https://www.wikidata.org/wiki/Q5421724","display_name":"Expressive power","level":2,"score":0.5375800728797913},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4777364134788513},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.4679388403892517},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.46078526973724365},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.43840548396110535},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43296343088150024},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4168991148471832},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3619389533996582},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14823845028877258},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.0748632550239563},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1145/3331445","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3331445","pdf_url":null,"source":{"id":"https://openalex.org/S90119964","display_name":"ACM Transactions on Database Systems","issn_l":"0362-5915","issn":["0362-5915","1557-4644"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Database Systems","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1709.08359","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1709.08359","pdf_url":"https://arxiv.org/pdf/1709.08359","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":"pmh:oai:drops-oai.dagstuhl.de:8600","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICDT.2018.10","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol098-icdt2018/LIPIcs.ICDT.2018.10/LIPIcs.ICDT.2018.10.pdf","source":{"id":"https://openalex.org/S4306402524","display_name":"Leibniz-Zentrum f\u00fcr Informatik (Schloss Dagstuhl)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"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":"","raw_type":"InProceedings"},{"id":"mag:2759523323","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1709.08359.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:documentserver.uhasselt.be:1942/28196","is_oa":true,"landing_page_url":"http://hdl.handle.net/1942/28196","pdf_url":null,"source":{"id":"https://openalex.org/S4306401926","display_name":"Document Server@UHasselt (UHasselt)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I878454856","host_organization_name":"Hasselt University","host_organization_lineage":["https://openalex.org/I878454856"],"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":"","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:documentserver.uhasselt.be:1942/30378","is_oa":false,"landing_page_url":"http://hdl.handle.net/1942/30378","pdf_url":null,"source":{"id":"https://openalex.org/S4306401926","display_name":"Document Server@UHasselt (UHasselt)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I878454856","host_organization_name":"Hasselt University","host_organization_lineage":["https://openalex.org/I878454856"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Meeting","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1709.08359","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1709.08359","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":"Preprint"},{"id":"doi:10.4230/lipics.icdt.2018.10","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.icdt.2018.10","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"ConferencePaper"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1709.08359","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1709.08359","pdf_url":"https://arxiv.org/pdf/1709.08359","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":[{"id":"https://openalex.org/F4320321730","display_name":"Fonds Wetenschappelijk Onderzoek","ror":"https://ror.org/03qtxy027"},{"id":"https://openalex.org/F4320327336","display_name":"Vlaamse regering","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W1493132637","https://openalex.org/W1553372930","https://openalex.org/W1558832481","https://openalex.org/W1558933415","https://openalex.org/W1566488688","https://openalex.org/W1569165539","https://openalex.org/W1574151794","https://openalex.org/W1596887828","https://openalex.org/W1736726159","https://openalex.org/W1967172740","https://openalex.org/W1975880448","https://openalex.org/W1986832527","https://openalex.org/W2005797538","https://openalex.org/W2006753964","https://openalex.org/W2008080405","https://openalex.org/W2014830756","https://openalex.org/W2019940097","https://openalex.org/W2044849727","https://openalex.org/W2047674711","https://openalex.org/W2066636486","https://openalex.org/W2067754486","https://openalex.org/W2074940496","https://openalex.org/W2121755852","https://openalex.org/W2131662609","https://openalex.org/W2148544545","https://openalex.org/W2158208969","https://openalex.org/W2170831059","https://openalex.org/W2181072414","https://openalex.org/W2284514301","https://openalex.org/W2290968667","https://openalex.org/W2301555989","https://openalex.org/W2547190417","https://openalex.org/W2563724055","https://openalex.org/W2594212362","https://openalex.org/W2604255113","https://openalex.org/W2613161123","https://openalex.org/W2757470978","https://openalex.org/W2782001694","https://openalex.org/W2889897289","https://openalex.org/W2952337735","https://openalex.org/W2963275055","https://openalex.org/W2964051142","https://openalex.org/W2998720137","https://openalex.org/W3004215017","https://openalex.org/W3011813038","https://openalex.org/W4246140018","https://openalex.org/W4300601563","https://openalex.org/W4301791419"],"related_works":["https://openalex.org/W2962762811","https://openalex.org/W3169628129","https://openalex.org/W1576415620","https://openalex.org/W2059820690","https://openalex.org/W2094675989","https://openalex.org/W2049233281","https://openalex.org/W2088181725","https://openalex.org/W1954393188","https://openalex.org/W2079785597","https://openalex.org/W1946987616","https://openalex.org/W3099325101","https://openalex.org/W2570115677","https://openalex.org/W2290968667","https://openalex.org/W2952237720","https://openalex.org/W2072331537","https://openalex.org/W1588520766","https://openalex.org/W206758492","https://openalex.org/W2141421279","https://openalex.org/W83011735","https://openalex.org/W2049012226"],"abstract_inverted_index":{"We":[0,77,110,121],"investigate":[1],"the":[2,27,41,61,68,105,124,151,164],"expressive":[3],"power":[4],"of":[5,44,97,107],"MATLANG,":[6],"a":[7,32,85,95],"formal":[8],"language":[9,22,63],"for":[10,30,83,92,154,163],"matrix":[11,16],"manipulation":[12],"based":[13],"on":[14],"common":[15],"operations":[17],"and":[18,75],"linear":[19],"algebra.":[20],"The":[21],"can":[23,39,64,114],"be":[24,65,115,161],"extended":[25],"with":[26,71],"operation":[28,81],"inv":[29,113],"inverting":[31],"matrix.":[33,86],"In":[34],"MATLANG":[35,118,141,147,155],"+":[36,119,142,148,156],"inv,":[37],"we":[38,48,58],"compute":[40],"transitive":[42],"closure":[43],"directed":[45],"graphs,":[46,138],"whereas":[47],"show":[49,59,111],"that":[50,60,91,103,108,112],"this":[51],"is":[52,88,101,158],"not":[53,145],"possible":[54],"without":[55],"inversion.":[56],"Indeed,":[57],"basic":[62],"simulated":[66],"in":[67,117,140,146],"relational":[69],"algebra":[70],"arithmetic":[72],"operations,":[73],"grouping,":[74],"summation.":[76],"also":[78],"consider":[79],"an":[80],"eigen":[82,143,157],"diagonalizing":[84],"It":[87],"defined":[89],"such":[90],"each":[93],"eigenvalue":[94],"set":[96],"mutually":[98],"orthogonal":[99],"eigenvectors":[100],"returned":[102],"span":[104],"eigenspace":[106],"eigenvalue.":[109],"expressed":[116],"eigen.":[120],"put":[122],"forward":[123],"open":[125],"question":[126],"whether":[127],"there":[128],"are":[129],"Boolean":[130],"queries":[131,136],"about":[132,137],"matrices,":[133],"or":[134],"generic":[135],"expressible":[139],"but":[144],"inv.":[149],"Finally,":[150],"evaluation":[152],"problem":[153],"shown":[159],"to":[160],"complete":[162],"complexity":[165],"class":[166],"\u2203":[167],"R.":[168]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
