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  • 标题:On the equational consistency of order-theoretic models of the lambda-calculus
  • 本地全文:下载
  • 作者:Alberto Carraro ; Antonino Salibra
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2012
  • 卷号:16
  • 页码:152-166
  • DOI:10.4230/LIPIcs.CSL.2012.152
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:Answering a question by Honsell and Plotkin, we show that there are two equations between lambda terms, the so-called subtractive equations, consistent with lambda calculus but not satisfied in any partially ordered model with bottom element. We also relate the subtractive equations to the open problem of the order-incompleteness of lambda calculus.
  • 关键词:Lambda calculus; order-incompleteness; partially ordered models
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