{"id":"https://openalex.org/W4413741215","doi":"https://doi.org/10.1017/s1471068425100227","title":"The Power of Negation in Higher-Order Datalog","display_name":"The Power of Negation in Higher-Order Datalog","publication_year":2025,"publication_date":"2025-07-01","ids":{"openalex":"https://openalex.org/W4413741215","doi":"https://doi.org/10.1017/s1471068425100227"},"language":"en","primary_location":{"id":"doi:10.1017/s1471068425100227","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s1471068425100227","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/F29B686E15B1D940647C9C500E335194/S1471068425100227a.pdf/div-class-title-the-power-of-negation-in-higher-order-datalog-div.pdf","source":{"id":"https://openalex.org/S59670734","display_name":"Theory and Practice of Logic Programming","issn_l":"1471-0684","issn":["1471-0684","1475-3081"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory and Practice of Logic Programming","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/F29B686E15B1D940647C9C500E335194/S1471068425100227a.pdf/div-class-title-the-power-of-negation-in-higher-order-datalog-div.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078140903","display_name":"Angelos Charalambidis","orcid":"https://orcid.org/0000-0001-7437-410X"},"institutions":[{"id":"https://openalex.org/I32762134","display_name":"Harokopio University of Athens","ror":"https://ror.org/02k5gp281","country_code":"GR","type":"education","lineage":["https://openalex.org/I32762134"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"ANGELOS CHARALAMBIDIS","raw_affiliation_strings":["Harokopio University of Athens","Harokopio University of Athens, Athens, Greece (e-mails:"],"raw_orcid":"https://orcid.org/0000-0001-7437-410X","affiliations":[{"raw_affiliation_string":"Harokopio University of Athens","institution_ids":["https://openalex.org/I32762134"]},{"raw_affiliation_string":"Harokopio University of Athens, Athens, Greece (e-mails:","institution_ids":["https://openalex.org/I32762134"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107673214","display_name":"BABIS KOSTOPOULOS","orcid":null},"institutions":[{"id":"https://openalex.org/I32762134","display_name":"Harokopio University of Athens","ror":"https://ror.org/02k5gp281","country_code":"GR","type":"education","lineage":["https://openalex.org/I32762134"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"BABIS KOSTOPOULOS","raw_affiliation_strings":["Harokopio University of Athens","Harokopio University of Athens, Athens, Greece (e-mails:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Harokopio University of Athens","institution_ids":["https://openalex.org/I32762134"]},{"raw_affiliation_string":"Harokopio University of Athens, Athens, Greece (e-mails:","institution_ids":["https://openalex.org/I32762134"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027624552","display_name":"Christos Nomikos","orcid":null},"institutions":[{"id":"https://openalex.org/I194019607","display_name":"University of Ioannina","ror":"https://ror.org/01qg3j183","country_code":"GR","type":"education","lineage":["https://openalex.org/I194019607"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"CHRISTOS NOMIKOS","raw_affiliation_strings":["University of Ioannina","University of Ioannina, Ioannina, Greece (e-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Ioannina","institution_ids":["https://openalex.org/I194019607"]},{"raw_affiliation_string":"University of Ioannina, Ioannina, Greece (e-mail:","institution_ids":["https://openalex.org/I194019607"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038937008","display_name":"Panos Rondogiannis","orcid":null},"institutions":[{"id":"https://openalex.org/I200777214","display_name":"National and Kapodistrian University of Athens","ror":"https://ror.org/04gnjpq42","country_code":"GR","type":"education","lineage":["https://openalex.org/I200777214"]},{"id":"https://openalex.org/I4210135765","display_name":"Frontier Science Foundation-Hellas","ror":"https://ror.org/03m2f4c21","country_code":"GR","type":"nonprofit","lineage":["https://openalex.org/I4210135765"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"PANOS RONDOGIANNIS","raw_affiliation_strings":["National and Kapodistrian University of Athens","National and Kapodistrian University of Athens, Athens, Greece (e-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National and Kapodistrian University of Athens","institution_ids":["https://openalex.org/I200777214"]},{"raw_affiliation_string":"National and Kapodistrian University of Athens, Athens, Greece (e-mail:","institution_ids":["https://openalex.org/I200777214","https://openalex.org/I4210135765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":{"value":3550,"currency":"USD","value_usd":3550},"fwci":2.1494,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.89421708,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"25","issue":"4","first_page":"595","last_page":"611"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998000264167786,"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":0.9998000264167786,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9962999820709229,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9911999702453613,"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/datalog","display_name":"Datalog","score":0.9274407625198364},{"id":"https://openalex.org/keywords/negation","display_name":"Negation","score":0.8279293775558472},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8258287906646729},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.5779557824134827},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5265733599662781},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.5081229209899902},{"id":"https://openalex.org/keywords/expressive-power","display_name":"Expressive power","score":0.5045522451400757},{"id":"https://openalex.org/keywords/negation-as-failure","display_name":"Negation as failure","score":0.4547301232814789},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.12283515930175781},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.06751945614814758},{"id":"https://openalex.org/keywords/stable-model-semantics","display_name":"Stable model semantics","score":0.06175816059112549}],"concepts":[{"id":"https://openalex.org/C148230440","wikidata":"https://www.wikidata.org/wiki/Q1172264","display_name":"Datalog","level":2,"score":0.9274407625198364},{"id":"https://openalex.org/C2185349","wikidata":"https://www.wikidata.org/wiki/Q190558","display_name":"Negation","level":2,"score":0.8279293775558472},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8258287906646729},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.5779557824134827},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5265733599662781},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.5081229209899902},{"id":"https://openalex.org/C195818886","wikidata":"https://www.wikidata.org/wiki/Q5421724","display_name":"Expressive power","level":2,"score":0.5045522451400757},{"id":"https://openalex.org/C194146651","wikidata":"https://www.wikidata.org/wiki/Q2119400","display_name":"Negation as failure","level":5,"score":0.4547301232814789},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.12283515930175781},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06751945614814758},{"id":"https://openalex.org/C127001435","wikidata":"https://www.wikidata.org/wiki/Q7595770","display_name":"Stable model semantics","level":4,"score":0.06175816059112549},{"id":"https://openalex.org/C156325763","wikidata":"https://www.wikidata.org/wiki/Q1930895","display_name":"Operational semantics","level":3,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1017/s1471068425100227","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s1471068425100227","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/F29B686E15B1D940647C9C500E335194/S1471068425100227a.pdf/div-class-title-the-power-of-negation-in-higher-order-datalog-div.pdf","source":{"id":"https://openalex.org/S59670734","display_name":"Theory and Practice of Logic Programming","issn_l":"1471-0684","issn":["1471-0684","1475-3081"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory and Practice of Logic Programming","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2507.20251","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2507.20251","pdf_url":"https://arxiv.org/pdf/2507.20251","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.1017/s1471068425100227","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s1471068425100227","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/F29B686E15B1D940647C9C500E335194/S1471068425100227a.pdf/div-class-title-the-power-of-negation-in-higher-order-datalog-div.pdf","source":{"id":"https://openalex.org/S59670734","display_name":"Theory and Practice of Logic Programming","issn_l":"1471-0684","issn":["1471-0684","1475-3081"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory and Practice of Logic Programming","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4413741215.pdf","grobid_xml":"https://content.openalex.org/works/W4413741215.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W25304578","https://openalex.org/W1565496223","https://openalex.org/W1969965298","https://openalex.org/W1989783863","https://openalex.org/W2063545044","https://openalex.org/W2079745007","https://openalex.org/W2088094394","https://openalex.org/W2105438076","https://openalex.org/W2145648043","https://openalex.org/W2156827107","https://openalex.org/W2168842537","https://openalex.org/W2171280299","https://openalex.org/W2496580970","https://openalex.org/W2963479669","https://openalex.org/W2963679208","https://openalex.org/W3098293022","https://openalex.org/W3098709944","https://openalex.org/W4406401455"],"related_works":["https://openalex.org/W4214701509","https://openalex.org/W4212824748","https://openalex.org/W1596105581","https://openalex.org/W2570392075","https://openalex.org/W2077585551","https://openalex.org/W1556735226","https://openalex.org/W2023906867","https://openalex.org/W2015627330","https://openalex.org/W2124217695","https://openalex.org/W2109031030"],"abstract_inverted_index":{"Abstract":[0],"We":[1,24],"investigate":[2],"the":[3,11,14,28,51,65,71,96,99,127,151,158,163,168,175],"expressive":[4,87,140,169],"power":[5,88,170],"of":[6,50,56,70,95,139,153,160,171],"Higher-Order":[7],"$Datalog^\\neg$":[8,38,108],"under":[9,27,162,174],"both":[10],"well-founded":[12,29,164],"and":[13,79,116,148],"stable":[15,100,176],"model":[16,101,177],"semantics,":[17,30,102],"establishing":[18],"tight":[19],"connections":[20],"with":[21,123,131],"complexity":[22],"classes.":[23],"prove":[25],"that":[26,45,85,105],"for":[31,126],"all":[32],"$k\\geq":[33],"1$":[34],",":[35,42],"$(k+1)$":[36,106],"-Order":[37,107],"captures":[39,109],"$k-\\textsf":[40,117],"{EXP}$":[41],"a":[43,92,137],"result":[44],"holds":[46],"without":[47],"explicit":[48],"ordering":[49],"input":[52],"database.":[53],"The":[54],"proof":[55],"this":[57,86],"fact":[58],"can":[59,166],"be":[60],"performed":[61],"either":[62],"by":[63,74],"using":[64,75,113,119],"powerful":[66],"existential":[67],"predicate":[68],"variables":[69],"language":[72],"or":[73],"partially":[76],"applied":[77],"relations":[78],"relation":[80],"enumeration.":[81],"Furthermore,":[82],"we":[83,103],"demonstrate":[84],"is":[89],"retained":[90],"within":[91],"stratified":[93,128],"fragment":[94,129],"language.":[97],"Under":[98],"show":[104],"$\\textsf":[110],"{co}-(k-\\textsf":[111],"{NEXP})$":[112],"cautious":[114],"reasoning":[115],"{NEXP}$":[118],"brave":[120],"reasoning,":[121],"again":[122],"analogous":[124],"results":[125,135],"augmented":[130],"choice":[132],"rules.":[133],"Our":[134],"establish":[136],"hierarchy":[138],"power,":[141],"highlighting":[142],"an":[143],"interesting":[144],"trade-off":[145],"between":[146],"order":[147,159],"non-determinism":[149],"in":[150],"context":[152],"higher-order":[154],"logic":[155],"programing:":[156],"increasing":[157],"programs":[161,173],"semantics":[165],"surpass":[167],"lower-order":[172],"semantics.":[178]},"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
