Presentation 1998/12/4
On Completion of Term Set Rewriting Systems
Hideto Kasuya, Masahiko Sakai, Shinichirou Yamamoto, Kiyoshi Agusa,
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Abstract(in English) We have already proposed a Term Set Rewriting System (TSRS) as an extension of TRS. A TSRS consists of rules, each of which has sets of terms in its both-hand sides, and its defines a reduction relation on sets of terms. This paper describes completion of simple TSRSs having only two types of rules : {s} ▹ {t} and {s} ▹ {s, t}. We define completion procedure based on EF-confluence, and show its soundness and completeness by proof transformation.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Term Rewriting System / Term Set Rewriting System / Completion procedure / Termination
Paper # COMP98-66
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Committee COMP
Conference Date 1998/12/4(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) On Completion of Term Set Rewriting Systems
Sub Title (in English)
Keyword(1) Term Rewriting System
Keyword(2) Term Set Rewriting System
Keyword(3) Completion procedure
Keyword(4) Termination
1st Author's Name Hideto Kasuya
1st Author's Affiliation Faculty of Information Science and Technology, Aichi Prefectural University()
2nd Author's Name Masahiko Sakai
2nd Author's Affiliation Graduate School of Engineering, Nagoya University
3rd Author's Name Shinichirou Yamamoto
3rd Author's Affiliation Faculty of Information Science and Technology, Aichi Prefectural University
4th Author's Name Kiyoshi Agusa
4th Author's Affiliation Graduate School of Engineering, Nagoya University
Date 1998/12/4
Paper # COMP98-66
Volume (vol) vol.98
Number (no) 442
Page pp.pp.-
#Pages 7
Date of Issue