Presentation 1997/1/24
An Improved Recursive Decomposition Ordering for Higher-Order Rewrite Systems
Munehiro Iwami, Masahiko Sakai, Yoshihito Toyama,
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Abstract(in English) Simplification orderings, like the recursive path ordering and the improved recursive decomposition ordering, are widely used for proving the termination property of term rewriting systems. The improved recursive decomposition ordering is among the most powerful simplification orderings. Recently J.-P. Jouannaud and A. Rubio extended the recursive path ordering to higher-order rewrite systems by introducing an ordering on type structure. In this paper we extend the improved recursive decomposition ordering for proving termination of higher-order rewrite systems. The key idea of our ordering is a new concept of pseudo-terminal occurrences.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) higher-order rewrite system / termination / improved recursive decomposition ordering / Pseudo-terminal occurrence / type / simplification ordering
Paper # COMP96-73
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Committee COMP
Conference Date 1997/1/24(1days)
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Registration To Theoretical Foundations of Computing (COMP)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) An Improved Recursive Decomposition Ordering for Higher-Order Rewrite Systems
Sub Title (in English)
Keyword(1) higher-order rewrite system
Keyword(2) termination
Keyword(3) improved recursive decomposition ordering
Keyword(4) Pseudo-terminal occurrence
Keyword(5) type
Keyword(6) simplification ordering
1st Author's Name Munehiro Iwami
1st Author's Affiliation School of Information Science, JAIST()
2nd Author's Name Masahiko Sakai
2nd Author's Affiliation School of Information Science, JAIST
3rd Author's Name Yoshihito Toyama
3rd Author's Affiliation School of Information Science, JAIST
Date 1997/1/24
Paper # COMP96-73
Volume (vol) vol.96
Number (no) 488
Page pp.pp.-
#Pages 8
Date of Issue