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Innermost Termination of Context-Sensitive Rewriting ?

Summary: Innermost Termination of Context-Sensitive
Rewriting ?
Jurgen Giesl 1 and Aart Middeldorp ??2
1 LuFG Informatik II, RWTH Aachen, Ahornstr. 55, 52074 Aachen, Germany,
2 Institute of Information Sciences and Electronics, University of Tsukuba
Tsukuba 305-8573, Japan, ami@is.tsukuba.ac.jp
Abstract. Context-sensitive rewriting is a restriction of term rewriting
used to model evaluation strategies in functional programming and in
programming languages like OBJ. For example, under certain conditions
termination of an OBJ program is equivalent to innermost termination
of the corresponding context-sensitive rewrite system [18]. To prove ter-
mination of context-sensitive rewriting, several methods have been pro-
posed in the literature which transform context-sensitive rewrite systems
into ordinary rewrite systems such that termination of the transformed
ordinary system implies termination of the original context-sensitive sys-
tem. Most of these transformations are not very satisfactory when it
comes to proving innermost termination. We investigate the relation-
ship between termination and innermost termination of context-sensitive
rewriting and we examine the applicability of the di erent transforma-


Source: Ábrahám, Erika - Fachgruppe Informatik, Rheinisch Westfälische Technische Hochschule Aachen (RWTH)


Collections: Computer Technologies and Information Sciences