Presentation 2022-10-25
Active Learning for Deterministic Bottom-up Nominal Tree Automata
Rindo Nakanishi, Yoshiaki Takata, Hiroyuki Seki,
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Abstract(in English) Nominal set plays a central role in a group-theoretic extension of finite automata to those over an infinite set of data values. Moerman et al. proposed an active learning algorithm for nominal word automata with the equality symmetry. In this paper, we introduce deterministic bottom-up nominal tree automata (DBNTA), which operate on trees whose nodes are labelled with elements of an orbit finite nominal set. We then prove a Myhill-Nerode theorem for the class of languages recognized by DBNTA and propose an active learning algorithm for DBNTA. The algorithm can deal with any data symmetry that admits least support, not restricted to the equality symmetry and/or the total order symmetry.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) nominal tree automata / active learning / Myhill-Nerode theorem
Paper # SS2022-24,DC2022-30
Date of Issue 2022-10-18 (SS, DC)

Conference Information
Committee DC / SS
Conference Date 2022/10/25(1days)
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Place (in English)
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Topics (in English)
Chair Tatsuhiro Tsuchiya(Osaka Univ.) / Kozo Okano(Shinshu Univ.)
Vice Chair Toshinori Hosokawa(Nihon Univ.) / Yoshiki Higo(Osaka Univ.)
Secretary Toshinori Hosokawa(Nihon Univ.) / Yoshiki Higo(Chiba Univ.)
Assistant / Shinsuke Matsumoto(Osaka Univ.)

Paper Information
Registration To Technical Committee on Dependable Computing / Technical Committee on Software Science
Language ENG-JTITLE
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Active Learning for Deterministic Bottom-up Nominal Tree Automata
Sub Title (in English)
Keyword(1) nominal tree automata
Keyword(2) active learning
Keyword(3) Myhill-Nerode theorem
1st Author's Name Rindo Nakanishi
1st Author's Affiliation Nagoya University(Nagoya Univ.)
2nd Author's Name Yoshiaki Takata
2nd Author's Affiliation Kochi University of Technology(KUT)
3rd Author's Name Hiroyuki Seki
3rd Author's Affiliation Nagoya University(Nagoya Univ.)
Date 2022-10-25
Paper # SS2022-24,DC2022-30
Volume (vol) vol.122
Number (no) SS-225,DC-226
Page pp.pp.16-21(SS), pp.16-21(DC),
#Pages 6
Date of Issue 2022-10-18 (SS, DC)