{“id”:“https://openalex.org/W1544548277“,”doi“:”https://doi.org/10.1007/978-1-4471-0751-4_4“,”title“:“用有限测试集解决问题”,”display_name“:”用有限测试集中解决问题“,”publication_year“:2000,”publiation_date“:”2000-01-01“,”ids“:{”openalex“:”https://openalex.org/W1544548277“,”doi“:”https://doi.org/10.1007/978-1-4471-0751-4_4“,”mag“:”1544548277“},”language“:”en“,”primary_location“:{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1007/978-1-4471-0751-4_4“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S4306463937“,”display_name“:”Springer电子书“,”issn_l“:null,”issn“:null,”is_oa“:false,”is_ in_doaj“:false,”host_organization“:”https://openalex.org/P4310319965“,”“host_organization_name”:“Springer Nature”,“host_organization_lineage”:[“https://openalex.org/P4310319965“],”host_organization_lineage_names“:[”Springer Nature“],“type”:“电子书平台”},“license”:null,“licence_id”:null,“version”:null,“is_accepted”:false,“is_published”:false},”type“:”book-chapter“,”type_crossref“:“book-chapper”,“indexed_in”:[”crossref“],‘open_access”:{“is_oa”:true,“oa_status”:“green”,“oa_url”:“”http://www.cs.auckland.ac.nz/CDMTCS/researchreports/112cris.pdf“,”any_repository_has_fulltext“:true},”authorships“:[{”author_position“:”第一“,”作者“:{”id“:”https://openalex.org/A5079186295“,”display_name“:”Cristian S.Calude“,”orcid“:”https://orcid.org/0000-0002-8711-6799},“机构”:[{“id”:https://openalex.org/I154130895“,”display_name“:”奥克兰大学“,”ror“:”https://ror.org/03b94tp07“,”country_code“:”NZ“,”type“:“教育”,”世系“:[”https://openalex.org/I154130895“]}],”countries“:[”NZ“],”is_corresponding“:false,”raw_author_name“:”Cristian S.Calude“,”raw _affiliation_strings“:【”新西兰奥克兰大学计算机科学系“】,”affiliations“:[{”raw _affiliation_string“:”新西兰奥克兰大学计算机系“,”institution_ids“:[“https://openalex.org/I154130895“]}]},{”author_position“:”middle“,”author“:{”id“:”https://openalex.org/A5088351125“,”display_name“:”Helmut J\u00fcrgensen“,”orcid“:null},”institutions“:[{”id“:”https://openalex.org/I176453806“,”display_name“:”波茨坦大学“,”ror“:”https://ror.org/03bnmw459“,”country_code“:”DE“,”type“:“教育”,”世系“:[”https://openalex.org/I176453806“]},{”id“:”https://openalex.org/I125749732“,”display_name“:”西部大学“,”ror“:”https://ror.org/02grkyz14“,”country_code“:”CA“,”type“:”教育“,”血统“:[”https://openalex.org/I125749732“]}],”国家“:[”CA“,”DE“],”is_corresponding“:false,”raw_author_name“:”Helmut J\u00fcrgensen“,”raw _ afiliation_strings“:[“加拿大安大略省伦敦市西安大略大学计算机科学系”,”德国波茨坦波茨坦大学信息研究所“],“afiliations”:[{“raw_affiliation_string”:“德国波茨坦波茨坦大学信息研究所“,”institution_ids“:[”https://openalex.org/I176453806“]},{”raw_affiliation_string“:”加拿大安大略省伦敦市西安大略大学计算机科学系“,”institution_ids“:[”https://openalex.org/I125749732“]}]},{”author_position“:”last“,”author“:{”id“:”https://openalex.org/A5008987732“,”display_name“:”Shane Legg“,”orcid“:null},”institutions“:[{”id“:”https://openalex.org/I154130895“,”display_name“:”奥克兰大学“,”ror“:”https://ror.org/03b94tp07“,”country_code“:”NZ“,”type“:“教育”,”世系“:[”https://openalex.org/I154130895“]}],”countries“:[”NZ“],”is_corresponding“:false,”raw_author_name“:”Shane Legg“,”raw _affiliation_strings“:【”新西兰奥克兰大学数学系“】,”affiliations“:[{”raw _affiliation_string“:”新西兰奥克兰大学数学学院“,”institution_ids“:[“https://openalex.org/I154130895“]}]}],”countries_distinct_count“:3,”institutions_disting_count”:3,“corresponding_author_ids”:[],”correspounding_institution_ids“:[]、”apc_list“:null,”apc_payed“:null',”has_fulltext“:false,”cited_by_count“39”,“last_page”:“52”},“is_retracted”:falseis_paratext“:false,”primary_topic“:{”id“:”https://openalex.org/T11567“,”display_name“:”自动机理论和形式语言“,”score“:0.9998,”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“}},”主题“:[{”id“:”https://openalex.org/T11567“,”display_name“:”自动机理论和形式语言“,”score“:0.9998,”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/T2002“,”display_name“:”计算复杂性与算法信息理论“,”score“:0.9998,”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/T10126“,”“display_name”:“程序分析和验证技术”,“score”:0.9979,“subfield”:{“id”:“https://openalex.org/subfields/1702“,”display_name“:”人工智能“},”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/selection-logic“,”display_name“:”Separation Logic“,”score“:0.473055}],”concepts“:[{”id“:”https://openalex.org/C192034797,“wikidata”:https://www.wikidata.org/wiki/Q3502995“,”display_name“:”无法确定问题“,”level“:3,”score“:0.59169376},{”id“:”https://openalex.org/C153269930,“wikidata”:https://www.wikidata.org/wiki/Q430001“,”display_name“:”Decidability“,”level“:2,”score“:0.5540829},{”id“:”https://openalex.org/C87117476,“wikidata”:https://www.wikidata.org/wiki/Q362383“,”display_name“:”基数(数据建模)“,”level“:2,”score“:0.5291574},{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.5282851},{”id“:”https://openalex.org/C2777212361,“wikidata”:https://www.wikidata.org/wiki/Q5127848“,”display_name“:”类(哲学)“,”级别“:2,”分数“:0.4936665},{”id“:”https://openalex.org/C177264268,“wikidata”:https://www.wikidata.org/wiki/Q1514741“,”display_name“:”Set(abstract data type)“,”level“:2,”score“:0.4838492},{”id“:”https://openalex.org/C118615104,“wikidata”:https://www.wikidata.org/wiki/Q121416“,”display_name“:”离散数学“,”level“:1,”score“:0.45311156},{”id“:”https://openalex.org/C162392398,“wikidata”:https://www.wikidata.org/wiki/Q272404网址“,”display_name“:”有限集“,”level“:2,”score“:0.45126772},{”id“:”https://openalex.org/C2779343474,“wikidata”:https://www.wikidata.org/wiki/Q3109175“,”display_name“:”Context(考古学)“,”level“:2,”score“:0.43844166},{”id“:”https://openalex.org/C2778701210,“wikidata”:https://www.wikidata.org/wiki/Q28130034“,”display_name“:”建设性“,”level“:3,”score“:0.43603706},{”id“:”https://openalex.org/C199879729,“wikidata”:https://www.wikidata.org/wiki/Q205140“,”display_name“:”无限集“,”level“:3,”score“:0.4106245},{”id“:”https://openalex.org/C41008148,“wikidata”:https://www.wikidata.org/wiki/Q21198“,”display_name“:”计算机科学“,”level“:0,”score“:0.3327744},{”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/C151730666,“wikidata”:https://www.wikidata.org/wiki/Q7205(网址:https://www.wikidata.org/wiki/Q7205)“,”display_name“:”古生物学“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C98045186,“wikidata”:https://www.wikidata.org/wiki/Q205663“,”display_name“:”Process(computing)“,”level“:2,”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},{”id“:”https://openalex.org/C86803240,“wikidata”:https://www.wikidata.org/wiki/Q420“,”display_name“:”生物学“,”等级“:0,”分数“:0.0},{”id“:”https://openalex.org/C124101348,“wikidata”:https://www.wikidata.org/wiki/Q172491“,”display_name“:”数据挖掘“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C199360897,“wikidata”:https://www.wikidata.org/wiki/Q9143“,”display_name“:”编程语言“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C111919701,“wikidata”:https://www.wikidata.org/wiki/Q9135“,”display_name“:”操作系统“,”level“:1,”score“:0.0}],”mesh“:[],”locations_count“:2,”location“:[{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1007/978-1-4471-0751-4_4“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S4306463937“,”display_name“:”Springer电子书“,”issn_l“:null,”issn“:null,”is_oa“:false,”is_ in_doaj“:false,”host_organization“:”https://openalex.org/P4310319965“,”“host_organization_name”:“Springer Nature”,“host_organization_lineage”:[“https://openalex.org/P4310319965“],”host_organization_lineage_names“:[”Springer Nature“],“type”:“电子书平台”},“license”:null,“licence_id”:null,“version”:null,“is_accepted”:false,“is_published”:false},{“is_oa”:true,“landing_page_url”:“http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.39.4789,“pdf_url”:http://www.cs.auckland.ac.nz/CDMTCS/researchreports/112cris.pdf,“源”:{“id”:https://openalex.org/S4306400349“,”display_name“:”CiteSeer X(宾夕法尼亚州立大学)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is_ in_doaj“:false,”host_organization“:”https://openalex.org/I130769515“,”“host_organization_name”:“宾夕法尼亚州立大学”,“host_ordanization_lineage”:[“https://openalex.org/I130769515“],”host_organization_lineage_names“:[”Pennsylvania State University“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false}],“best_oa_location”:{“is_oa”:true,“landing_page_url”:“http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.39.4789,“pdf_url”:http://www.cs.auckland.ac.nz/CDMTCS/researchreports/112cris.pdf,“源”:{“id”:https://openalex.org/S4306400349“,”display_name“:”CiteSeer X(宾夕法尼亚州立大学)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is_ in_doaj“:false,”host_organization“:”https://openalex.org/I130769515“,”“host_organization_name”:“宾夕法尼亚州立大学”,“host_ordanization_lineage”:[“https://openalex.org/I130769515“],”host_organization_lineage_names“:[”Pennsylvania State University“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false},”sustainable_development_goals“:[{”id“:”https://metadata.un.org/sdg/4“,”score“:0.41,”display_name“:”Quality education“}],”grants“:[],”datasets“:【】,”versions“:【],”referenced_works_count“:17,”referrenced_works“:[”https://openalex.org/W1672535544","https://openalex.org/W1965895990","https://openalex.org/W2004053658","https://openalex.org/W2017795761","https://openalex.org/W2037240754","https://openalex.org/W2043069144","https://openalex.org/W2045033949","https://openalex.org/W2072247311","https://openalex.org/W2561675875","https://openalex.org/W2796796600","https://openalex.org/W2905135108","https://openalex.org/W4233607861","https://openalex.org/W4237733582网址","https://openalex.org/W4238357211","https://openalex.org/W4247448656网址","https://openalex.org/W4252263778","https://openalex.org/W4296300736“],”related_works“:[”https://openalex.org/W2989332944","https://openalex.org/W2972379433","https://openalex.org/W2962928105","https://openalex.org/W2901423989","https://openalex.org/W2584984136","https://openalex.org/W2583549044","https://openalex.org/W2170336571","https://openalex.org/W2119045600","https://openalex.org/W2021891065","https://openalex.org/W1501430220“],”ngrams_url“:”https://api.openalex.org/works/W1544548277/ngrams“,”“abstract_inverted_index”:{“Every”:[0],“finited”:[1,99138],“and”:[2,14,34169189],“Every”:[3,83],“co-fined”:[4],“set”:[5,22,49140166],“of”:[6,47,56,60,74119126148163195203220222],“non-negative”:[7],“integers”:[8],“is”:[9,12,16,23,29,40172183],“decitable”:[10],“This”:[11],“true”:[13],“it”:[15171],“not”,:[17],“depending”:[18],“关于“:[19160],“是否”:[20],“该”:[211117120137145149158161164175179196201218223],“给定”:[24],“建设性地”。“:[25],”A“:[26],”类似“:[27],”约束“:[28,39219],”适用“:[30],”in“:[31,64,91144],”language“:[32],”理论“:[33],”many“:[35],”other“:[36],”fields。“:[37],”“The”“:[38122],”通常“:[41],”理解“:[42],”和“:[43],”因此,“:[44],”省略。“:[45],”现象“:[46],”a“:[48,58,71,98104184],”存在“:[50],”有限“:[51],”但是“:[52],”可能“:[53206],”不可判定“:[54],”是“:[55125],”当然“:[57127],”结果“:[59],”允许“:[61],”非构造“:[62],”参数“:[63],”证明。“:[65],“In”:[66192],“this”:[67,75],“note”:[68],“we”:【69129155】,“discuss”:【70】,“fellow”:【72】,“raminations”:〔73〕,“fact”。“:[76],“We”:[77],“start”:[78],“out”:[79],“with”:[00],“showing”:[81],“that”:[82,87128157170181],“number”:[84],“theoryal”:[85],“statement”:[86],“can”:[88,94],“be”:[89,95102132],“expressed”:[90],“first order”:[92],“logic”:[93],“reduced”:/96],“to”:[97101134],“设置”:[100113],“调用”:[103],“测试”:[105112139165],“设置。“:[106],”因此,“:[107],”如果“:[108],”一“:[109114],”知道“:[110],”可以“:[115],”确定“:[116],”真理“:[118],”陈述。“:[121],”关键“:[123],”点“:[124],”可能“:[130226],”不“:[131],”能够“:[133],”知道“:[135],”什么“:[136],”是。“:[141],”使用“:[142],”问题“:[143],”类“:[146],”u03a01“:[147],”算术“:[150],”层次结构“:[151],”作为“:[152],”an“:[153],”示例“:[154],“建立”:[156],“绑定”:[159],“大小”:[162],“图灵完成”:[168],“上界”:[173],“通过“:[174],”busy-beaver“:[176],”函数。This“:[177],“reinforces”:[178],“fact”:[180],“there”:[182],“vast”:[185],“difference”:[186],“between”:[187],“finiteness”:[188],“constructive”:[190],“defineness”。“:[191],“上下文”:[194],“当前”:[197],“重新打开”:[198],“讨论”:[199],“关于”:[200],“概念”:[202],“可计算性”:[204],“\u2014”:[205217],“扩展”:[207],“其”:[208],“领域”:[209],“通过”:[210],“新”:[211],“计算”:[212],“模型”:[213],“派生”:[214],“来自”:[215],“物理学”:[216],“构造性”:[221],“模型”:[224],“自身“:[225],”添加“:[227],”另一个“:[228],”扭转。“:[229]},”cited_by_api_url“:”https://api.openalex.org/works?filter=cites:W1544548277“,”counts_by_year“:[{“年份”:2014,”cited_by_count“:1},{“年度”:2012,”cited_by_count”:1}],”updated_date“:”2024-06-16T05:20:11.487498“,”created_date:“2016-06-24”}“