{“id”:“https://openalex.org/W2158738638“,”doi“:”https://doi.org/10.109/lics.2007.16“,”title“:”归纳和无限下降的完整序贯演算“,”display_name“:”诱导和无限下降完整序贯计算“,”publication_year“:2007,”publiation_date“:”2007-01-01“,”ids“:{”openalex“:”https://openalex.org/W2158738638“,”doi“:”https://doi.org/10.109/lics.2007.16“,”mag“:”2158738638“},”language“:”en“,”primary_location“:{”is_oa“:false,”landing_page_url“:”https://doi.org/10.109/lics.2007.16“,”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://www.pure.ed.ac.uk/ws/files/12289043/bs_lics07.pdf“,”any_repository_has_fulltext“:true},”authorships“:[{”author_position“:”第一“,”作者“:{”id“:”https://openalex.org/A5025368137“,”display_name“:”J G.Brotherston“,”orcid“:”https://orcid.org/0000-0002-7536-4496“},”机构“:[{”id“:”https://openalex.org/I47508984“,”display_name“:”伦敦帝国理工学院“,”ror“:”https://ror.org/041kmwe10“,”country_code“:”GB“,”type“:“教育”,”世系“:[”https://openalex.org/I47508984“]}],”国家“:[”GB“],”is_corresponding“:false,”raw_author_name“:”James Brotherston“,”raw _ afiliation_strings“:[“英国伦敦帝国理工学院计算机系”],”affiliations“:[{”raw_ afiliation _string“:”英国伦敦帝国学院计算系”,“institution_ids”:[“https://openalex.org/I47508984“]}]},{”author_position“:”last“,”author“:{”id“:”https://openalex.org/A5037262512“,”display_name“:”Alex Simpson“,”orcid“:”https://orcid.org/0000-0003-0049-9668“},”机构“:[{”id“:”https://openalex.org/I98677209“,”display_name“:”爱丁堡大学“,”ror“:”https://ror.org/01nrxwf90“,”country_code“:”GB“,”type“:“教育”,”世系“:[”https://openalex.org/I98677209“]}],”国家“:[”GB“],”is_corresponding“:false,”raw_author_name“:”Alex Simpson“,”raw_affiliation_strings“:[“英国爱丁堡大学信息学院LFCS”],“affiliations”:[{“raw_affilition_string”:“英国爱丁堡大学信息院LFCS”,“institution_ids”:[”https://openalex.org/I98677209“]}]}],”institution_assertions“:[],”countries_distinct_count“:1,”institutions_disting_count”:2,”corresponding_author_ids“:[[],”corresponding_institution_ids”:[]、“apc_list”:null,“apc_payed”:nul,“fwci”:3.228,“has_fulltext”:true,“fulltext_origin”:“pdf”,“cited_by_count):41,“citation_normalized_percentile”:{“value”:0.9440 12,“is_in_top_1_percent”:假,“is_in_top_10_percent“:true},”cited_by_percentile_year“:{”min“:92,”max“:93},“biblio”:{“volume”:null,“issue”:nul,“first_page”:null,“last_page”:null},《is_retracted》:false,“is_paratext”:false、“primary_topic”:{“id”:“https://openalex.org/T10126“,”display_name“:”程序分析和验证技术“,”score“:0.9998,”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“}},”主题“:[{”id“:”https://openalex.org/T10126“,”display_name“:”程序分析和验证技术“,”score“:0.9998,”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“}},{”id“:”https://openalex.org/T11010“,”display_name“:”逻辑编程与知识表示“,”score“:0.9994,”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“}},{”id“:”https://openalex.org/T10142“,”“display_name”:“软件验证和控制中的形式方法”,“score”:0.9977,“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/sequent“,”display_name“:”Sequent“,”score“:0.7796099},{”id“:”https://openalex.org/keywords/soundness网站“,”display_name“:”Soundness“,”score“:0.6456256},{”id“:”https://openalex.org/keywords/推论“,”display_name“:”推论“,”score“:0.6128587},{”id“:”https://openalex.org/keywords/proof-complexity网站“,”display_name“:”证明复杂性“,”score“:0.561181},{”id“:”https://openalex.org/keywords/mathematical-induction网站“,”display_name“:”数学归纳法“,”score“:0.5198427},{”id“:”https://openalex.org/keywords/非单调推理“,”display_name“:”非单调推理“,”score“:0.508964},{”id“:”https://openalex.org/keywords/strustructure-proof-theory“,”display_name“:”结构证明理论“,”score“:0.43896064}],”concepts“:[{”id“:”https://openalex.org/C108710211,“wikidata”:https://www.wikidata.org/wiki/Q11538“,”display_name“:”数学证明“,”level“:2,”score“:0.8164274},{”id“:”https://openalex.org/C89421646,“wikidata”:https://www.wikidata.org/wiki/Q843632“,”display_name“:”Sequent“,”level“:2,”score“:0.7796099},{”id“:”https://openalex.org/C65880906,“wikidata”:https://www.wikidata.org/wiki/Q1771121“,”display_name“:”序列演算“,”level“:3,”score“:0.7263494},{”id“:”https://openalex.org/C62073222,“wikidata”:https://www.wikidata.org/wiki/Q1572108“,”display_name“:”自然演绎“,”level“:2,”score“:0.6991473},{”id“:”https://openalex.org/C39920170,“wikidata”:https://www.wikidata.org/wiki/Q693083(网址:https://www.wikidata.org/wiki/Q693083)“,”display_name“:”健全“,”等级“:2,”分数“:0.6456256},{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.6226619},{”id“:”https://openalex.org/C2780012671,“wikidata”:https://www.wikidata.org/wiki/Q1343870“,”display_name“:”推论“,”level“:2,”score“:0.6128587},{”id“:”https://openalex.org/C105605280,“wikidata”:https://www.wikidata.org/wiki/Q7249999“,”display_name“:”证明复杂性“,”level“:3,”score“:0.561181},{”id“:”https://openalex.org/C2318724,“wikidata”:https://www.wikidata.org/wiki/Q852732网址“,”display_name“:”证明理论“,”level“:3,”score“:0.53561866},{”id“:”https://openalex.org/C206743973,“wikidata”:https://www.wikidata.org/wiki/Q178377“,”display_name“:”数学归纳法“,”level“:2,”score“:0.5198427},{”id“:”https://openalex.org/C118615104,“wikidata”:https://www.wikidata.org/wiki/Q121416“,”display_name“:”离散数学“,”level“:1,”score“:0.48505324},{”id“:”https://openalex.org/C195653647,“wikidata”:https://www.wikidata.org/wiki/Q7625047“,”display_name“:”结构证明理论“,”level“:4,”score“:0.43896064},{”id“:”https://openalex.org/C2777686260,“wikidata”:https://www.wikidata.org/wiki/Q144037“,”display_name“:”微积分(牙科)“,”level“:2,”score“:0.43312007},{”id“:”https://openalex.org/C206880738,“wikidata”:https://www.wikidata.org/wiki/Q431667“,”display_name“:”自动定理证明“,”level“:2,”score“:0.42403835},{”id“:”https://openalex.org/C41008148,“wikidata”:https://www.wikidata.org/wiki/Q21198“,”display_name“:”计算机科学“,”level“:0,”score“:0.2918706},{”id“:”https://openalex.org/C11413529,“wikidata”:https://www.wikidata.org/wiki/Q8366“,”display_name“:”Algorithm“,”level“:1,”score“:0.25868154},{”id“:”https://openalex.org/C199360897,“wikidata”:https://www.wikidata.org/wiki/Q9143“,”display_name“:”编程语言“,”level“:1,”score“:0.06859434},{”id“:”https://openalex.org/C71924100,“wikidata”:https://www.wikidata.org/wiki/Q11190“,”display_name“:”Medicine“,”level“:0,”score“: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/C199343813,“wikidata”:https://www.wikidata.org/wiki/Q12128(网址:https://www.wikidata.org/wiki/Q12128)“,”display_name“:”牙科“,”level“:1,”score“:0.0}],”mesh“:[],”locations_count“:3,”location“:[{”is_oa“:false,”landing_page_url“:”https://doi.org/10.109/lics.2007.16“,”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://www.pure.ed.ac.uk/ws/files/12209043/bs_lics07.pdf,“pdf_url”:https://www.pure.ed.ac.uk/ws/files/12289043/bs_lics07.pdf,“源”:{“id”:https://openalex.org/S4306400321“,”“display_name”“:”“爱丁堡研究总管(爱丁堡大学)”“,”https://openalex.org/I98677209“,”“host_organization_name”:“爱丁堡大学”,“host_organization_lineage”:[“https://openalex.org/I98677209“],”host_organization_lineage_names“:[”爱丁堡大学“],“type”:“repository”},“license”:“other-oa”,“licence_id”:“https://openalex.org/licenses/other-oa网站“,”version“:”acceptedVersion“,”is_accepted“:true,”is_published“:false},{”is_oa“:true,”landing_page_url“:”https://hdl.handle.net/20.500.11820/d992fb3f-294e-4fa4-8606-41087d44b8e6,“pdf_url”:https://www.research.ed.ac.uk/files/12289043/bs_lics07.pdf,“源”:{“id”:https://openalex.org/S4306400320“,”“display_name”“:”“爱丁堡研究总管(爱丁堡大学)”“,”https://openalex.org/I98677209“,”“host_organization_name”:“爱丁堡大学”,“host_organization_lineage”:[“https://openalex.org/I98677209“],”host_organization_lineage_names“:[”爱丁堡大学“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“acceptedVersion”,“is_accepted”:true,“is_published”:false}],“best_oa_location”:{“is_oa”:true,“landing_page_url”:“https://www.pure.ed.ac.uk/ws/files/12289043/bs_lics07.pdf,“pdf_url”:https://www.pure.ed.ac.uk/ws/files/12289043/bs_lics07.pdf,“源”:{“id”:https://openalex.org/S4306400321“,”“display_name”“:”“爱丁堡研究总管(爱丁堡大学)”“,”https://openalex.org/I98677209“,”“host_organization_name”:“爱丁堡大学”,“host_organization_lineage”:[“https://openalex.org/I98677209“],”host_organization_lineage_names“:[”爱丁堡大学“],“type”:“repository”},“license”:“other-oa”,“licence_id”:“https://openalex.org/licenses/other-oa网站“,”version“:”acceptedVersion“,”is_accepted“:true,”is_published“:false},”sustainable_development_goals“:[{”display_name“:”和平、正义和强大的制度“,”id“:”https://metadata.un.org/sdg/16“,”score“:0.52}],”grants“:[],”datasets“:[],”versions“:[】,”referenced_works_count“:24,”referrenced_works“:【”https://openalex.org/W1196275239","https://openalex.org/W1483737907","https://openalex.org/W1505191296","https://openalex.org/W1556837122","https://openalex.org/W1575501012","https://openalex.org/W1587799979","https://openalex.org/W1588723084","https://openalex.org/W1949275316","https://openalex.org/W1969682671","https://openalex.org/W1988449272","https://openalex.org/W1993129359","https://openalex.org/W2000451268","https://openalex.org/W2015640848","https://openalex.org/W2029129011","https://openalex.org/W2056022747","https://openalex.org/W2068793017","https://openalex.org/W2081019971","https://openalex.org/W2120869910","https://openalex.org/W2141287679","https://openalex.org/W2153364044","https://openalex.org/W2160331299","https://openalex.org/W2163602379","https://openalex.org/W2467982476","https://openalex.org/W4233310630“],”related_works“:[”https://openalex.org/W4221157047","https://openalex.org/W4221153874","https://openalex.org/W4210480840","https://openalex.org/W3212503723","https://openalex.org/W2953934790","https://openalex.org/W2918427073","https://openalex.org/W2891688494","https://openalex.org/W2793983771","https://openalex.org/W2158738638","https://openalex.org/W2020595717“],”abstract_inverted_index“:{”This“:[0162],”paper“:[1],”compares“:[2],”two“:[3178],”different“:[4],”styles“:[5],”of“:[6,46,62,67131],”reasoning“:[7],”with“:[08,31,56121],”inductively“:[9,40,93],”defined“:[10,41,94],”谓词,“:[11],”each“:[12],”stayle“:[13],”being“:[14],“封装”:[15],“由”:[16,29,83151159172187194],“a”:[17,59,71145],“对应”:[18],“序列”:[19,36],“微积分”:[20],“证明”:[21,28106171186193],“系统”:[22],“The”:[23,73133],“first”:[24168],“system”:[25,51,75116136169],“supports”:[26],“traditional”:[27],“induction”:[30],“includion”:[232188],“rules”:[33,37,91],“formulated”:[34],“as”:[35,91]70],“用于”:[38,92139170],“介绍”:[39],“谓词”:[42,95],“on”:[43105],“the”:[44,65,89129167177],“left”:[45,90],“sequents.”:[47],“We”:[C8113174],“show”:[49114],“this”:[50,87115],“to”:[52,58,8011017123148155191],“be”:[53118],“cut-free”:[54119],“complete”:[55120],“respect”:[57122],“natural”:[60146],“class”:[61],“Henkin”:[63],“models;”:[64],“eliminability”:[66130],“切割”:[68],“遵循”:[69],“推论”:[72],“第二个”:[74134],“使用”:[76],“无限”:[77,84195],“(非基础充分)”:[78],“证明”:[79149157],“表示”:[81],“参数”:[82],“世系”:[85196],“In”:[86],“system”,“:[88],”are“:[96180],“简单”:[97],“case-split”:[98],“规则,”:[99],“和”:[100126],“an”:[101],“无穷大,”:[102],“全局”:[103],“条件”:[104],“树”:[107],“是”:[108137189],“必需”:[109],“确保”:[111],“健全性”:[112],“标准”:[124],“模型”,“:[125],“再次”:[127],“推断”:[128],“切割”:[132],“无限”:[135],“不合适”:[138],“形式”:[140],“推理”:[141],“然而”:[142],“it”:[143],“有“:[144],”限制“:[147],”给定“:[150],”常规“:[152192],”树,“:[153],“即”:[154],“那些”:[156],“可表示”:[158],“有限”:[160],“图。”:[161],“受限”:[163],“循环”:[164],“子类”:[166],“归纳”:[173],“猜想”:[175],“that”:[176185],“系统”:[179],“in”:[181],“事实”:[182],“等价物”:[183],“如”:[184]],“等价”:[190]},“cited_by_api_url”:“https://api.openalex.org/works?filter=cites:W2158738638“,”“counts_by_year”:[{“年份”:2023,”“cited_by_count”:2},{“年度”:2022,”“cited_by_cunt”:1},”“年份”“:2020,”“:2015,”cited_by_count“:2},{“年份”:2013,”cited_by_count,“updated_date”:“2024-09-16T07:51:37.187733”,“创建日期”:“2016-06-24”}