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  • 标题:Infinitary Rewriting Coinductively
  • 本地全文:下载
  • 作者:J{\"o}rg Endrullis ; Andrew Polonsky
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2013
  • 卷号:19
  • 页码:16-27
  • DOI:10.4230/LIPIcs.TYPES.2011.16
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:We provide a coinductive definition of strongly convergent reductions between infinite lambda terms. This approach avoids the notions of ordinals and metric convergence which have appeared in the earlier definitions of the concept. As an illustration, we prove the existence part of the infinitary standardization theorem. The proof is fully formalized in Coq using coinductive types. The paper concludes with a characterization of infinite lambda terms which reduce to themselves in a single beta step.
  • 关键词:infinitary rewriting; coinduction; lambda calculus; standardization
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