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Derivatives of Regular Expressions with Lookahead
https://ipsj.ixsq.nii.ac.jp/records/195818
https://ipsj.ixsq.nii.ac.jp/records/1958184cc6f79f-73bf-4dd9-8502-e52092292238
名前 / ファイル | ライセンス | アクション |
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Copyright (c) 2019 by the Information Processing Society of Japan
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オープンアクセス |
Item type | Trans(1) | |||||||||
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公開日 | 2019-05-21 | |||||||||
タイトル | ||||||||||
タイトル | Derivatives of Regular Expressions with Lookahead | |||||||||
タイトル | ||||||||||
言語 | en | |||||||||
タイトル | Derivatives of Regular Expressions with Lookahead | |||||||||
言語 | ||||||||||
言語 | eng | |||||||||
キーワード | ||||||||||
主題Scheme | Other | |||||||||
主題 | [通常論文] regular expressions with lookahead, derivatives | |||||||||
資源タイプ | ||||||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
資源タイプ | journal article | |||||||||
著者所属 | ||||||||||
School of Computing, Tokyo Institute of Technology | ||||||||||
著者所属 | ||||||||||
School of Computing, Tokyo Institute of Technology | ||||||||||
著者所属(英) | ||||||||||
en | ||||||||||
School of Computing, Tokyo Institute of Technology | ||||||||||
著者所属(英) | ||||||||||
en | ||||||||||
School of Computing, Tokyo Institute of Technology | ||||||||||
著者名 |
Takayuki, Miyazaki
× Takayuki, Miyazaki
× Yasuhiko, Minamide
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著者名(英) |
Takayuki, Miyazaki
× Takayuki, Miyazaki
× Yasuhiko, Minamide
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論文抄録 | ||||||||||
内容記述タイプ | Other | |||||||||
内容記述 | Lookahead is an extension of regular expressions that has been adopted in many implementations and is widely used. Lookahead represents what is allowed as the rest of input. Morihata developed a conversion from regular expressions with lookahead (REwLA) to deterministic finite automata by extending Thompson's construction. In this paper, we develop a conversion from REwLA to deterministic finite automata by extending derivatives of regular expressions. First, we formalize the semantics of REwLA. An REwLA has information about the rest of the input, so the definition of the semantics of REwLA is not languages but structures different from those of regular expressions. Thus, we introduce languages with lookahead as sets of pairs of strings with several operations and define the semantics of REwLA as languages with lookahead. Next, we define two kinds of left quotient for languages with lookahead and give corresponding derivatives. Then, we show that the types of expressions obtained by repeatedly applying derivatives are finite under some equivalence relation and give a conversion to deterministic finite automata. We also show that the semantics of REwLA is a finite union of sets of the form A × B, where A and B are regular languages. ------------------------------ This is a preprint of an article intended for publication Journal of Information Processing(JIP). This preprint should not be cited. This article should be cited as: Journal of Information Processing Vol.27(2019) (online) ------------------------------ |
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論文抄録(英) | ||||||||||
内容記述タイプ | Other | |||||||||
内容記述 | Lookahead is an extension of regular expressions that has been adopted in many implementations and is widely used. Lookahead represents what is allowed as the rest of input. Morihata developed a conversion from regular expressions with lookahead (REwLA) to deterministic finite automata by extending Thompson's construction. In this paper, we develop a conversion from REwLA to deterministic finite automata by extending derivatives of regular expressions. First, we formalize the semantics of REwLA. An REwLA has information about the rest of the input, so the definition of the semantics of REwLA is not languages but structures different from those of regular expressions. Thus, we introduce languages with lookahead as sets of pairs of strings with several operations and define the semantics of REwLA as languages with lookahead. Next, we define two kinds of left quotient for languages with lookahead and give corresponding derivatives. Then, we show that the types of expressions obtained by repeatedly applying derivatives are finite under some equivalence relation and give a conversion to deterministic finite automata. We also show that the semantics of REwLA is a finite union of sets of the form A × B, where A and B are regular languages. ------------------------------ This is a preprint of an article intended for publication Journal of Information Processing(JIP). This preprint should not be cited. This article should be cited as: Journal of Information Processing Vol.27(2019) (online) ------------------------------ |
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書誌レコードID | ||||||||||
収録物識別子タイプ | NCID | |||||||||
収録物識別子 | AA11464814 | |||||||||
書誌情報 |
情報処理学会論文誌プログラミング(PRO) 巻 12, 号 2, 発行日 2019-05-21 |
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ISSN | ||||||||||
収録物識別子タイプ | ISSN | |||||||||
収録物識別子 | 1882-7802 | |||||||||
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言語 | ja | |||||||||
出版者 | 情報処理学会 |