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Narrowing-based Simulation of Term Rewriting Systems with Extra Variables and its Termination Proof
http://hdl.handle.net/2237/9247
http://hdl.handle.net/2237/9247b5a5a39b-10cb-4ca8-9750-a01143b5513a
名前 / ファイル | ライセンス | アクション |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2008-01-07 | |||||
タイトル | ||||||
タイトル | Narrowing-based Simulation of Term Rewriting Systems with Extra Variables and its Termination Proof | |||||
言語 | en | |||||
著者 |
Nishida, Naoki
× Nishida, Naoki× Sakai, Masahiko× Sakabe, Toshiki |
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アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
抄録 | ||||||
内容記述 | Term rewriting systems (TRSs) are extended by allowing to contain extra variables in their rewrite rules. We call the extended systems EV-TRSs. They are ill-natured since every one-step reduction by their rules with extra variables is infinitely branching and they are not terminating. To solve these problems, this paper extends narrowing on TRSs into that on EV-TRSs and show that it simulates the reduction sequences of EV-TRSs as the narrowing sequences starting from ground terms. We prove the soundness of ground narrowing-sequences for the reduction sequences. We prove the completeness for the case of right-linear systems, and also for the case that no redex in terms substituted for extra variables is reduced in the reduction sequences. Moreover, we give a method to prove the termination of the simulation, extending the termination proof of TRSs using dependency pairs, to that of narrowing on EV-TRSs starting from ground terms. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
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 | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
書誌情報 |
en : 12th International Workshop on Functional and (Constraint) Logic Programming p. 198-211, 発行日 2003-06 |
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フォーマット | ||||||
application/pdf | ||||||
著者版フラグ | ||||||
値 | publisher | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/9247 | |||||
識別子タイプ | HDL |