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  • 标题:Certified Kruskal's Tree Theorem
  • 本地全文:下载
  • 作者:Christian Sternagel
  • 期刊名称:Journal of Formalized Reasoning
  • 印刷版ISSN:1972-5787
  • 出版年度:2014
  • 卷号:7
  • 期号:1
  • 页码:45-62
  • DOI:10.6092/issn.1972-5787/4213
  • 语种:English
  • 出版社:Alma Mater Studiorum - University of Bologna
  • 摘要:This article presents the first formalization of Kurskal's tree theorem in a proof assistant. The Isabelle/HOL development is along the lines of Nash-Williams' original minimal bad sequence argument for proving the tree theorem. Along the way, proofs of Dickson's lemma and Higman's lemma, as well as some technical details of the formalization are discussed.
  • 关键词:almost-full relations;well-quasi-orders;Dickson's lemma;HIgman's lemma;Kruskal's tree theorem;minimal bad sequences
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