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文章基本信息

  • 标题:Term Rewriting Characterisation of LOGSPACE for Finite and Infinite Data
  • 作者:Lukasz Czajka
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2018
  • 卷号:108
  • 页码:13:1-13:19
  • DOI:10.4230/LIPIcs.FSCD.2018.13
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:We show that LOGSPACE is characterised by finite orthogonal tail-recursive cons-free constructor term rewriting systems, contributing to a line of research initiated by Neil Jones. We describe a LOGSPACE algorithm which computes constructor normal forms. This algorithm is used in the proof of our main result: that simple stream term rewriting systems characterise LOGSPACE-computable stream functions as defined by Ramyaa and Leivant. This result concerns characterising logarithmic-space computation on infinite streams by means of infinitary rewriting.
  • 关键词:LOGSPACE; implicit complexity; term rewriting; infinitary rewriting; streams
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