Presentation 2012-01-26
On Rewriting Induction for Simply-typed Term Rewriting Systems
Akira OZEKI, Keiichirou KUSAKARI, Tsubasa SAKATA, Naoki NISHIDA, Masahiko SAKAI, Toshiki SAKABE,
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Abstract(in English) Rewriting induction is a principle of proving inductive theorems by means of derivations obtained by applying inference rules. The principle was first proposed on term rewriting systems, and was extended variously. In this paper, we extend the rewriting induction to simply-typed term rewriting systems, implementing an automated inductive theorem proving for higher-order equations. In order to design inference rules suitably, we also formulize properties which inference rules should satisfy.
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Keyword(in English) automated inductive reasoning / rewriting induction / simply-typed term rewriting / higher-order function
Paper # MSS2011-63,SS2011-48
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Committee MSS
Conference Date 2012/1/19(1days)
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Registration To Mathematical Systems Science and its applications(MSS)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) On Rewriting Induction for Simply-typed Term Rewriting Systems
Sub Title (in English)
Keyword(1) automated inductive reasoning
Keyword(2) rewriting induction
Keyword(3) simply-typed term rewriting
Keyword(4) higher-order function
1st Author's Name Akira OZEKI
1st Author's Affiliation Graduate School of Information Science, Nagoya University()
2nd Author's Name Keiichirou KUSAKARI
2nd Author's Affiliation Graduate School of Information Science, Nagoya University
3rd Author's Name Tsubasa SAKATA
3rd Author's Affiliation Graduate School of Information Science, Nagoya University
4th Author's Name Naoki NISHIDA
4th Author's Affiliation Graduate School of Information Science, Nagoya University
5th Author's Name Masahiko SAKAI
5th Author's Affiliation Graduate School of Information Science, Nagoya University
6th Author's Name Toshiki SAKABE
6th Author's Affiliation Graduate School of Information Science, Nagoya University
Date 2012-01-26
Paper # MSS2011-63,SS2011-48
Volume (vol) vol.111
Number (no) 405
Page pp.pp.-
#Pages 6
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