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  • 标题:Proving non-termination by finite automata
  • 本地全文:下载
  • 作者:J{\"o}rg Endrullis ; Hans Zantema
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2015
  • 卷号:36
  • 页码:160-176
  • DOI:10.4230/LIPIcs.RTA.2015.160
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:A new technique is presented to prove non-termination of term rewriting. The basic idea is to find a non-empty regular language of terms that is closed under rewriting and does not contain normal forms. It is automated by representing the language by a tree automaton with a fixed number of states, and expressing the mentioned requirements in a SAT formula. Satisfiability of this formula implies non-termination. Our approach succeeds for many examples where all earlier techniques fail, for instance for the S-rule from combinatory logic.
  • 关键词:non-termination; finite automata; regular languages
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