Presentation 2015-01-26
On Efficacy of Narrowing in Proving Termination of Constrained Term Rewriting Systems
Tomoya UEYAMA, Naoki NISHIDA, Masahiko SAKAI, Toshiki SAKABE,
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Abstract(in English) To prove termination of constrained term rewriting systems, the dependency pair framework, a powerful method for proving termination of term rewriting systems, was extended to constrained term rewriting systems. It was only shown that a transformation of dependency pairs via narrowing, which is used in the framework, is useful in disproving termination in the extended framework. In this paper, we show that the transformation is useful in proving termination of constrained term rewriting systems. Moreover, we improve the transformation in order to increase the power of proving termination.
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Keyword(in English) term rewriting system / DP framework / first-order predicate logic
Paper # MSS2014-76,SS2014-40
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Committee MSS
Conference Date 2015/1/19(1days)
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Registration To Mathematical Systems Science and its applications(MSS)
Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) On Efficacy of Narrowing in Proving Termination of Constrained Term Rewriting Systems
Sub Title (in English)
Keyword(1) term rewriting system
Keyword(2) DP framework
Keyword(3) first-order predicate logic
1st Author's Name Tomoya UEYAMA
1st Author's Affiliation Graduate School of Information Science, Nagoya University()
2nd Author's Name Naoki NISHIDA
2nd Author's Affiliation Graduate School of Information Science, Nagoya University
3rd Author's Name Masahiko SAKAI
3rd Author's Affiliation Graduate School of Information Science, Nagoya University
4th Author's Name Toshiki SAKABE
4th Author's Affiliation Graduate School of Information Science, Nagoya University
Date 2015-01-26
Paper # MSS2014-76,SS2014-40
Volume (vol) vol.114
Number (no) 415
Page pp.pp.-
#Pages 6
Date of Issue