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Higher-Order Path Orders Based on Computability

Keiichirou KUSAKARI

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Summary :

Simply-typed term rewriting systems (STRSs) are an extension of term rewriting systems. STRSs can be naturally handle higher order functions, which are widely used in existing functional programming languages. In this paper we design recursive and lexicographic path orders, which can efficiently prove the termination of STRSs. Moreover we discuss an application to the dependency pair and the argument filtering methods, which are very effective and efficient support methods for proving termination.

Publication
IEICE TRANSACTIONS on Information Vol.E87-D No.2 pp.352-359
Publication Date
2004/02/01
Publicized
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DOI
Type of Manuscript
Special Section PAPER (Special Section on Foundations of Computer Science)
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