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  1. 論文誌(トランザクション)
  2. プログラミング(PRO)
  3. Vol.12
  4. No.2

Derivatives of Regular Expressions with Lookahead

https://ipsj.ixsq.nii.ac.jp/records/195818
https://ipsj.ixsq.nii.ac.jp/records/195818
4cc6f79f-73bf-4dd9-8502-e52092292238
名前 / ファイル ライセンス アクション
IPSJ-TPRO1202004.pdf IPSJ-TPRO1202004.pdf (212.7 kB)
Copyright (c) 2019 by the Information Processing Society of Japan
オープンアクセス
Item type Trans(1)
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

Takayuki, Miyazaki

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Yasuhiko, Minamide

× Yasuhiko, Minamide

Yasuhiko, Minamide

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著者名(英) Takayuki, Miyazaki

× Takayuki, Miyazaki

en Takayuki, Miyazaki

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Yasuhiko, Minamide

× Yasuhiko, Minamide

en 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)
------------------------------
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)
------------------------------
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
ISSN
収録物識別子タイプ ISSN
収録物識別子 1882-7802
出版者
言語 ja
出版者 情報処理学会
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