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文章基本信息

  • 标题:Proof Normalisation in a Logic Identifying Isomorphic Propositions
  • 本地全文:下载
  • 作者:Alejandro D{'i}az-Caro ; Gilles Dowek
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2019
  • 卷号:131
  • 页码:1-23
  • DOI:10.4230/LIPIcs.FSCD.2019.14
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:We define a fragment of propositional logic where isomorphic propositions, such as A wedge B and B wedge A, or A ==> (B wedge C) and (A ==> B) wedge (A ==> C) are identified. We define System I, a proof language for this logic, and prove its normalisation and consistency.
  • 关键词:Simply typed lambda calculus; Isomorphisms; Logic; Cut-elimination; Proof-reduction
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