Layered Transducing Term Rewriting System and Its Recognizability Preserving Property

  • Authors:
  • Hiroyuki Seki;Toshinori Takai;Youhei Fujinaka;Yuichi Kaji

  • Affiliations:
  • -;-;-;-

  • Venue:
  • RTA '02 Proceedings of the 13th International Conference on Rewriting Techniques and Applications
  • Year:
  • 2002

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Abstract

A term rewriting system which effectively preserves recognizability (EPR-TRS) has good mathematical properties. In this paper, a new subclass of TRSs, layered transducing TRSs (LT-TRSs) is defined and its recognizability preserving property is discussed. The class of LT-TRSs contains some EPR-TRSs, e.g., {f(x) 驴 f(g(x))} which do not belong to any of the known decidable subclasses of EPR-TRSs. Bottom-up linear tree transducer, which is a well-known computation model in the tree language theory, is a special case of LT-TRS. We present a sufficient condition for an LT-TRS to be an EPR-TRS. Also some properties of LT-TRSs including reachability are shown to be decidable.