{“id”:“https://openalex.org/W2088113003“,”doi“:”https://doi.org/10.1145/2603088.2603103“,”title“:”通过逻辑实现超图对偶问题的新上界“,”display_name“:”根据逻辑实现超表对偶问题新上界”,“publication_year”:2014,“publitation_date”:“2014-07-14”,“ids”:{“openalex”:“https://openalex.org/W2088113003“,”doi“:”https://doi.org/10.1145/2603088.2603103“,”mag“:”2088113003“},”language“:”en“,”primary_location“:{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1145/2603088.2603103“,”pdf_url“:null,”source“:nul,”license“:null',”licence_id“:null,”version“:nuller,”is_accepted“:false,”is_published“:false},”type“:”article“,”type_crossref“:“proceedings-article”,”indexed_in“:[”crossref“],”open_access“:{”is_oa“:true,”oa_status“:”green“,”“oa_url”:“”https://ore.exeter.ac.uk/repository/bitstream/10871/33327/4/15m1027267.pdf“,”any_repository_has_fulltext“:true},”authorships“:[{”author_position“:”first“,”author“:{”id“:”https://openalex.org/A5050151740“,”display_name“:”Georg Gottlob“,”orcid“:”https://orcid.org/0000-0002-2353-5230},“机构”:[{“id”:https://openalex.org/I40120149“,”display_name“:”牛津大学“,”ror“:”https://ror.org/052gg0110“,”country_code“:”GB“,”type“:“教育”,”世系“:[”https://openalex.org/I40120149“]}],”国家“:[”GB“],”is_corresponding“:false,”raw_author_name“:”Georg Gottlob“,”raw _ afiliation_strings“:[“英国牛津大学”],”affiliations“:[{”raw_ afiliation _string“:”英国牛津大学“,”institution_ids“:[https://openalex.org/I40120149“]}]},{”author_position“:”last“,”author“:{”id“:”https://openalex.org/A5066443441“,”display_name“:”Enrico Malizia“,”orcid“:”https://orcid.org/0000-0002-6780-4711},“机构”:[{“id”:https://openalex.org/I45204951“,”display_name“:”卡拉布里亚大学“,”ror“:”https://ror.org/02rc97e94“,”country_code“:”IT“,”type“:“教育”,”世系“:[”https://openalex.org/I45204951“]}],”国家“:[”IT“],”is_corresponding“:false,”raw_author_name“:”Enrico Malizia“,”raw _affiliation_strings“:[“D.I.M.E.S.,University \u00e0 della Calabria,Rende(CS),Italy”],“afliations”:[{“raw_affiliation _string”:“D.I.M.E.Shttps://openalex.org/I45204951“]}]}],”countries_distinct_count“:2,”institutions_disting_count”:2,“corresponding_author_ids”:[],”correspounding_institution_ids“:[]、”apc_list“:null,”apc_payed“:null,”fwci“:0.0,”has_fulltext“:true,”fulltext_origin“:”ngrams“,”cited_by_count:1,”citation_normalized_percentile“:{”value“:0.236818,”is_in_top_1_percent“:false,”is_in_top_10_percent“:false},“cited_by_percentile_year”:{“min”:66,“max”:73},“biblio”:{“volume”:null,“issue”:nul,“first_page”:null,“last_page”:null},”is_retracted“:false,”is_paratext“:false,”primary_topic“:{”id“:”https://openalex.org/T12072“,”“display_name”:“机器学习研究中的主动学习”,“score”:0.9968,“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“:”物理科学“}},”主题“:[{”id“:”https://openalex.org/T12072“,”“display_name”:“机器学习研究中的主动学习”,“score”:0.9968,“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“:”物理科学“}},{”id“:”https://openalex.org/T10720“,”display_name“:”组合优化与复杂性理论“,”score“:0.9962,”subfield“:{”id“:”https://openalex.org/subfields/1703“,”display_name“:”计算理论与数学“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T10142“,”“display_name”:“软件验证和控制中的形式方法”,“score”:0.9952,“subfield”:{“id”:“https://openalex.org/subfields/1703“,”display_name“:”计算理论与数学“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}}],”关键词“:[{”id“:”https://openalex.org/keywords/nondeterministic-algorithm“,”display_name“:”非确定性算法“,”score“:0.7514539},{”id“:”https://openalex.org/keywords/hypergraph“,”display_name“:”Hypergraph“,”score“:0.7272739},{”id“:”https://openalex.org/keywords/diability网站“,”display_name“:”二重性(序理论)“,”score“:0.49028566},{”id“:”https://openalex.org/keywords/p“,”display_name“:”P“,”score“:0.48815423},{”id“:”https://openalex.org/keywords/graph-algorithms网站“,”display_name“:”Graph Algorithms“,”score“:0.479203}],”concepts“:[{”id“:”https://openalex.org/C176181172,“wikidata”:https://www.wikidata.org/wiki/Q3490301“,”display_name“:”非确定性算法“,”level“:2,”score“:0.7514539},{”id“:”https://openalex.org/C2781221856,“wikidata”:https://www.wikidata.org/wiki/Q840247“,”display_name“:”Hypergraph“,”level“:2,”score“:0.7272739},{”id“:”https://openalex.org/C114614502,“wikidata”:https://www.wikidata.org/wiki/Q76592“,”display_name“:”组合数学“,”level“:1,”score“:0.7137959},{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.62733114},{”id“:”https://openalex.org/C2780990831,“wikidata”:https://www.wikidata.org/wiki/Q319141“,”display_name“:”推测“,”级别“:2,”分数“:0.59080684},{”id“:”https://openalex.org/C77553402,“wikidata”:https://www.wikidata.org/wiki/Q13222579“,”display_name“:”上下限“,”level“:2,”score“:0.5290391},{”id“:”https://openalex.org/C39637292,“wikidata”:https://www.wikidata.org/wiki/Q908207“,”display_name“:”复杂性类“,”level“:3,”score“:0.5284096},{”id“:”https://openalex.org/C118615104,“wikidata”:https://www.wikidata.org/wiki/Q121416“,”display_name“:”离散数学“,”level“:1,”score“:0.5255329},{”id“:”https://openalex.org/C311688,“wikidata”:https://www.wikidata.org/wiki/Q2393193“,”display_name“:”时间复杂性“,”level“:2,”score“:0.49684003},{”id“:”https://openalex.org/C2778023678,“wikidata”:https://www.wikidata.org/wiki/Q554403“,”display_name“:”二重性(序理论)“,”level“:2,”score“:0.49028566},{”id“:”https://openalex.org/C134026603,“wikidata”:https://www.wikidata.org/wiki/Q846354“,”display_name“:”P“,”level“:3,”score“:0.48815423},{”id“:”https://openalex.org/C2777212361,“wikidata”:https://www.wikidata.org/wiki/Q5127848(网址:https://www.wikidata.org/wiki/Q5127848)“,”display_name“:”类(哲学)“,”级别“:2,”分数“:0.4739787},{”id“:”https://openalex.org/C2780586882,“wikidata”:https://www.wikidata.org/wiki/Q7520643“,”display_name“:”Simple(哲学)“,”level“:2,”score“:0.4567065},{”id“:”https://openalex.org/C2834757,“wikidata”:https://www.wikidata.org/wiki/Q4925424“,”display_name“:”单调多边形“,”level“:2,”score“:0.4277487},{”id“:”https://openalex.org/C41008148,“wikidata”:https://www.wikidata.org/wiki/Q21198“,”display_name“:”计算机科学“,”level“:0,”score“:0.21911308},{”id“:”https://openalex.org/C134306372,“wikidata”:https://www.wikidata.org/wiki/Q7754“,”display_name“:”数学分析“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C138885662,“wikidata”:https://www.wikidata.org/wiki/Q5891“,”display_name“:”哲学“,”等级“:0,”分数“: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/C111472728,“wikidata”:https://www.wikidata.org/wiki/Q9471“,”display_name“:”认识论“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C154945302,“wikidata”:https://www.wikidata.org/wiki/Q11660“,”display_name“:”人工智能“,”level“:1,”score“:0.0}],”mesh“:[],”locations_count“:8,”location“:[{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1145/2603088.2603103“,”pdf_url“:null,”source“:null,”license“:nully,”licence_id“:null,”version“:nuller,”is_accepted“:false,”is_published“:false},{”is_oa“:true,”landing_page_url”:“https://hdl.handle.net/10871/33327,“pdf_url”:https://ore.exeter.ac.uk/repository/bitstream/10871/33327/4/15m1027267.pdf,“源”:{“id”:https://openalex.org/S4306401998“,”display_name“:”Open Research Exeter(University of Exeter)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is.in_doaj“:false,”is_core“:false,”host_organization“:”https://openalex.org/I23923803“,”“host_organization_name”:“埃克塞特大学”,“host_organization_lineage”:[“https://openalex.org/I23923803“],”host_organization_lineage_names“:[”Exeter大学“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“acceptedVersion”,“is_accepted”:true,“is_published”:false},{“is_oa”:true,“landing_page_url”:nul,“pdf_url“:”https://arxiv.org/pdf/1407.2912.pdf,“源”:{“id”:https://openalex.org/S4306400194“,”display_name“:”arXiv(康奈尔大学)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is.in_doaj“:false,”is_core“:fase,”host_organization“:”https://openalex.org/I205783295“,”“host_organization_name”:“康奈尔大学”,“host_organization_lineage”:[“https://openalex.org/I205783295“],”host_organization_lineage_names“:[”Cornell University“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false},{“is_oa”:true,“landing_page_url”:“https://arxiv.org/abs/1407.2912,“pdf_url”:https://arxiv.org/pdf/1407.2912,“源”:{“id”:https://openalex.org/S4306400194“,”display_name“:”arXiv(康奈尔大学)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is.in_doaj“:false,”is_core“:fase,”host_organization“:”https://openalex.org/I205783295“,”“host_organization_name”:“康奈尔大学”,“host_organization_lineage”:[“https://openalex.org/I205783295“],”host_organization_lineage_names“:[”Cornell University“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false},{“is_oa”:true,“landing_page_url”:“https://kclpure.kcl.ac.uk/ws/files/12661005/SICOMP1804_Dual.pdf,“pdf_url”:https://kclpure.kcl.ac.uk/ws/files/126661005/SICOMP1804_Dual.pdf,“源”:{“id”:https://openalex.org/S4306400216“,”display_name“:”研究门户(伦敦国王学院)“,”issn_l“:null,”issn“:null,”is_oa“:true,”isin_doaj“:false,”is_core“:fase,”host_organization“:”https://openalex.org/I183935753“,”“host_organization_name”:“伦敦国王学院”,“host_organization_lineage”:[“https://openalex.org/I183935753“],”host_organization_lineage_names“:[”伦敦国王学院“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false},{“is_oa”:true,“landing_page_url”:“https://ora.ox.ac.uk/objects/uuid:944ffa92-e435-4cdc-8b6d-b9eea9f9331d“,”pdf_url“:”https://ora.ox.ac.uk/objects/uuid:944ffa92-e435-4cdc-8b6d-b9eea9f9331d/files/md643ac442814935d0296d2b3a166a5a6“,”源“:{”id“:”https://openalex.org/S4306402636“,”display_name“:”牛津大学研究档案馆(ORA)(牛津大学)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is-in_doaj“:false,”is_core“:false,”host_organization“:”https://openalex.org/I40120149“,”“host_organization_name”:“牛津大学”,“host_ordanization_lineage”:[“https://openalex.org/I40120149“],”host_organization_lineage_names“:[”牛津大学“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false},{“is_oa”:true,“landing_page_url”:“https://ora.ox.ac.uk/objects/uuid:bfdc1228-570e-4911-9f84-6b7c3b0aad26“,”pdf_url“:”https://ora.ox.ac.uk/objects/uuid:bfdc1228-570e-4911-9f84-6b7c3b0aad26/files/rm613mz148“,”源“:{”id“:”https://openalex.org/S4306402636“,”display_name“:”牛津大学研究档案馆(ORA)(牛津大学)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is-in_doaj“:false,”is_core“:false,”host_organization“:”https://openalex.org/I40120149“,”“host_organization_name”:“牛津大学”,“host_ordanization_lineage”:[“https://openalex.org/I40120149“],”host_organization_lineage_names“:[”牛津大学“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false},{“is_oa”:true,“landing_page_url”:“https://kclpure.kcl.ac.uk/portal/en/publications/470a739e-3e7e-40d8-b068-fbc5a9f9ed3e,“pdf_url”:https://kclpure.kcl.ac.uk/portal/files/126661005/SICOMP1804_Dual.pdf,“源”:{“id”:https://openalex.org/S4306400216“,”display_name“:”研究门户(伦敦国王学院)“,”issn_l“:null,”issn“:null,”is_oa“:true,”isin_doaj“:false,”is_core“:fase,”host_organization“:”https://openalex.org/I183935753“,”host_organization_name“:”伦敦国王学院“,”host_organization_lineage“:[”https://openalex.org/I183935753“],”host_organization_lineage_names“:[”King’s College London“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false}],“best_oa_location”:{“is_oa”:true,“landing_page_url”:“https://hdl.handle.net/10871/33327,“pdf_url”:https://ore.exeter.ac.uk/repository/bitstream/10871/33327/4/15m1027267.pdf,“源”:{“id”:https://openalex.org/S4306401998“,”display_name“:”Open Research Exeter(University of Exeter)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is.in_doaj“:false,”is_core“:false,”host_organization“:”https://openalex.org/I23923803“,”“host_organization_name”:“埃克塞特大学”,“host_organization_lineage”:[“https://openalex.org/I23923803“],”host_organization_lineage_names“:[”埃克塞特大学“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“acceptedVersion”,“is_accepted”:true,“is_published”:false},”sustainable_development_goals“:[],“grants”:[{“funder”:“https://openalex.org/F4320334678“,”“funder_display_name”:“欧洲研究委员会”,“award_id”:“246858(DIADEM)”},{“funder”:“https://openalex.org/F4320338080“,”funder_display_name“:”European Social Fund“,”award_id“:null}]“,”datasets“:[],”versions“:[],”referenced_works_count“:33,”referrenced_works“:[”https://openalex.org/W1484529399","https://openalex.org/W1490189322","https://openalex.org/W1501399373","https://openalex.org/W1513731467","https://openalex.org/W1531519240","https://openalex.org/W1537230380","https://openalex.org/W1543515168","https://openalex.org/W1564907238","https://openalex.org/W1902941631","https://openalex.org/W1972004026","https://openalex.org/W1976127067","https://openalex.org/W2005389099","https://openalex.org/W2025271293","https://openalex.org/W2045519569","https://openalex.org/W2053540099","https://openalex.org/W2054784808","https://openalex.org/W2065895258","https://openalex.org/W2077053297","https://openalex.org/W2080947358","https://openalex.org/W2084095551","https://openalex.org/W2087134747","https://openalex.org/W2087502667","https://openalex.org/W2108309071","https://openalex.org/W2125227861","https://openalex.org/W2142133061","https://openalex.org/W2152927719","https://openalex.org/W2169245654","https://openalex.org/W2337710787","https://openalex.org/W2797886920","https://openalex.org/W2963908121","https://openalex.org/W41330591","https://openalex.org/W4236835455","https://openalex.org/W4514142“],”related_works“:[”https://openalex.org/W70814323","https://openalex.org/W4236663059","https://openalex.org/W2970311880","https://openalex.org/W2225473301","https://openalex.org/W2162177529","https://openalex.org/W2125536734","https://openalex.org/W2074125075","https://openalex.org/W2073028890","https://openalex.org/W2024994589","https://openalex.org/W1629505938“],”abstract_inverted_index“:{”The“:[0],”hypergraph“:[1],”duality“:[2],”problem“:[3,40,60117166],”Dual“:[4],”is“:[5,34,41,54,63100126],”defined“:[6],”as“:[7],”followin:“:[8],”given“:[9,47],”two“:[10,46160],”simple“:[11],”supergraphs“:[12],”G“:[13,26,33],“和”:[14112],“H,”:[15],“决定”:[16,44],“是否”:[17,45],“H”:[18],“包含”:[19],“精确地说:[20],“of”:[21,25,37,76,84129140191],“all”:[22,77],“minimal”:[23],“transversals”:[24],“(in”:[27],“which”:[28125142],“case”:[29],“we”:[30108169],“say”:[31],“that”:[32,56,79,98177],“the”:[35,58,73115119137156],“dual”:[36],“H)。“:[38],”This“:[39],”equivalent“:[42],”to“:[43,61136144179196],”non-redundant“:[48],”单调“:[49],”DNF“:[50],”are“:【51】,”dual。“:[52],”It“:[53,95],”known“:[55],”DUAL“:[57],”complementary“:[59],”DUAL“,“:[62],”in“:[64101159201],”GC“:[65],”(log2“:[66],”n“,”:[67103123131],”PTIME)“,”:[68],“where”:[69],“GC(f(n),”:%70],“C)”:[71],“表示”:[72],“复杂性”:[74],92120],“类”:[75,93121],“问题”:[78],“后面”:[80],“a”:[81127171188],“不确定性”:[82173],“guess“:[83180],”O(f(n))“:[85],”bits“:[86],”can“:[87],”be“:[88],”decided“:[89],”(checked)“:/90],”within“:[91],”C.“:[94],”was“:[96],”suggestuated“:[97],”DUAL“:[99116176],”GC(log2“:[102122130],”LOGSPACE)。“:[104132],“In”:[105],“this”:[106110192],“paper”:[107],“prove”:[109],“substructure”:[111],“actually”:[113],“place”:[114],“into”:[118],“TC0)”:[124],“子类”:[128],“We”:[133154184],“here”:[134],“refer”:[135],“logtime uniform”:%138],“version”:[139],“TC0”:[141],“对应”:[143],“FO(COUNT),”:[145],“即”:[146],“第一”:[147],“顺序”:[148],“逻辑“:[149],”增广“:[150],”by“:[151187],”计数“:[152],”量词。“:[153],”实现“:[155],”后一个“:[157],”绑定“:[158],”步骤。“:[161],”第一,“:[162],”基于“:[163],”on“:[164],”现有“:[165],”分解“:[167],”方法,“:168],”开发“:[170],”新“:[172],”算法“:[174],”for“:[175],”需要“:[178],”O(log2“:[181],”n)“:[182],”位。“:[183],”then“:[185],”proceed“:[186],”logical“:[189],”analysis“:[190],”algorithm,“:[193],”allowing“:[194],”us“:[195],”formulate“:[197],”its“:[198],”determinative“:[199],”part“:[200],”FO(COUNT)。“:[202]},”cited_by_api_url“:”https://api.openalex.org/works?filter=cites:W2088113003“,”counts_by_year“:[{”年“:2023,”引用_by_count“:1}],”更新日期“:”2024-08-15T08:51:02.929786“,”创建日期“:“2016-06-24”}