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  1. A500 情報学部/情報学研究科・情報文化学部・情報科学研究科
  2. A500a 雑誌掲載論文
  3. 学術雑誌

Transforming orthogonal inductive definition sets into confluent term rewrite systems

http://hdl.handle.net/2237/0002003931
http://hdl.handle.net/2237/0002003931
ccf6e12d-4642-42d1-bd7f-16fbe768db52
名前 / ファイル ライセンス アクション
ZhangNishida2022jlamp_preprint.pdf ZhangNishida2022jlamp_preprint.pdf (738 KB)
 Download is available from 2024/5/31.
Item type itemtype_ver1(1)
公開日 2022-10-17
タイトル
タイトル Transforming orthogonal inductive definition sets into confluent term rewrite systems
言語 en
著者 Zhang, Shujun

× Zhang, Shujun

en Zhang, Shujun

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Nishida, Naoki

× Nishida, Naoki

en Nishida, Naoki

Search repository
アクセス権
アクセス権 embargoed access
アクセス権URI http://purl.org/coar/access_right/c_f1cf
権利
言語 en
権利情報 © 2022. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
キーワード
主題Scheme Other
主題 First-order logic
キーワード
主題Scheme Other
主題 Term rewriting
キーワード
主題Scheme Other
主題 Program transformation
キーワード
主題Scheme Other
主題 Inductive theorem
キーワード
主題Scheme Other
主題 Termination
キーワード
主題Scheme Other
主題 Dependency pair
内容記述
内容記述 In this paper, we transform an orthogonal inductive definition set, which is a set of productions for inductive predicates, into a confluent term rewrite system such that a quantifier-free sequent is valid w.r.t. the inductive definition set if and only if an equation representing the sequent is an inductive theorem of the term rewrite system. To this end, we first propose a transformation of an orthogonal inductive definition set into a confluent term rewrite system that is equivalent to the inductive definition set in the sense of evaluating ground formulas. Then, we show that termination of the inductive definition set is proved by the generalized subterm criterion if and only if termination of the transformed term rewrite system is so. Finally, we show that the transformed term rewrite system with some rewrite rules for sequents has the expected property. In addition, we show a termination criterion for the union of term rewrite systems whose termination is proved by the generalized subterm criterion.
言語 en
内容記述タイプ Abstract
出版者
言語 en
出版者 Elsevier
言語
言語 eng
資源タイプ
資源タイプresource http://purl.org/coar/resource_type/c_6501
タイプ journal article
出版タイプ
出版タイプ AM
出版タイプResource http://purl.org/coar/version/c_ab4af688f83e57aa
関連情報
関連タイプ isVersionOf
識別子タイプ DOI
関連識別子 https://doi.org/10.1016/j.jlamp.2022.100779
収録物識別子
収録物識別子タイプ PISSN
収録物識別子 2352-2208
書誌情報 en : Journal of Logical and Algebraic Methods in Programming

巻 127, p. 100779, 発行日 2022-06
ファイル公開日
日付 2024-06-01
日付タイプ Available
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