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文章基本信息

  • 标题:Termination of Dependently Typed Rewrite Rules
  • 本地全文:下载
  • 作者:Jean-Pierre Jouannaud ; Jianqi Li
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2015
  • 卷号:38
  • 页码:257-272
  • DOI:10.4230/LIPIcs.TLCA.2015.257
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:Our interest is in automated termination proofs of higher-order rewrite rules in presence of dependent types modulo a theory T on base types. We first describe an original transformation to a type discipline without type dependencies which preserves non-termination. Since the user must reason on expressions of the transformed language, we then introduce an extension of the computability path ordering CPO for comparing dependently typed expressions named DCPO. Using the previous result, we show that DCPO is a well-founded order, behaving well in practice.
  • 关键词:rewriting; dependent types; strong normalization; path orderings
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