Presentation 2021-01-27
Pumping Lemmas for Languages Expressed by Computational Models with Registers
Rindo Nakanishi, Ryoma Senda, Yoshiaki Takata, Hiroyuki Seki,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Register automaton (RA), register context-free grammar (RCFG), and register tree automaton (RTA) are computational models with registers which deal with data values. This paper firstly gives definitions of those models, and classes of languages represented by them. As for RTA, we define them in a deterministic, and bottom-up manner. Then, we introduce pumping lemmas for those classes of languages, and show that the lemmas hold. By using the lemmas, we give examples of languages that do not belong to the above-mentioned classes of languages.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) register automaton / register context-free grammar / register tree automaton / pumping lemma
Paper # MSS2020-41,SS2020-26
Date of Issue 2021-01-19 (MSS, SS)

Conference Information
Committee MSS / SS
Conference Date 2021/1/26(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Online
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Shigemasa Takai(Osaka Univ.) / Takashi Kobayashi(Tokyo Inst. of Tech.)
Vice Chair Atsuo Ozaki(Osaka Inst. of Tech.) / Kozo Okano(Shinshu Univ.)
Secretary Atsuo Ozaki(Setsunan Univ.) / Kozo Okano(Hokkaido Univ.)
Assistant Naoki Hayashi(Osaka Univ.) / Shinpei Ogata(Shinshu Univ.)

Paper Information
Registration To Technical Committee on Mathematical Systems Science and its applications / Technical Committee on Software Science
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Pumping Lemmas for Languages Expressed by Computational Models with Registers
Sub Title (in English)
Keyword(1) register automaton
Keyword(2) register context-free grammar
Keyword(3) register tree automaton
Keyword(4) pumping lemma
1st Author's Name Rindo Nakanishi
1st Author's Affiliation Nagoya University(Nagoya Univ.)
2nd Author's Name Ryoma Senda
2nd Author's Affiliation Nagoya University(Nagoya Univ.)
3rd Author's Name Yoshiaki Takata
3rd Author's Affiliation Kochi University of Technology(KUT)
4th Author's Name Hiroyuki Seki
4th Author's Affiliation Nagoya University(Nagoya Univ.)
Date 2021-01-27
Paper # MSS2020-41,SS2020-26
Volume (vol) vol.120
Number (no) MSS-342,SS-343
Page pp.pp.72-77(MSS), pp.72-77(SS),
#Pages 6
Date of Issue 2021-01-19 (MSS, SS)