Presentation 2021-10-19
A Subclass of Mu-Calculus with the Freeze Quantifier Equivalent to Register Automata
Akira Onishi, Ryoma Senda, Yoshiaki Takata, Hiroyuki Seki,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Register automaton (abbreviated as RA) is an extension of finite automaton by addingregisters storing data values. RA has good properties such that the membership and emptiness problems are decidable. In the previous study, we proposed a subclass of LTL with the freeze quantifier that can be translated into RA. However, the expressive power of the subclass is weaker than that of RA. In this paper, we propose a subclass of mu-calculus with the freeze quantifier, provide equivalent translations between this subclass and RA, and show their correctness.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) mu-calculus with the freeze quantifier / register automaton / equivalence translation / model checking
Paper # SS2021-17,DC2021-22
Date of Issue 2021-10-12 (SS, DC)

Conference Information
Committee SS / DC
Conference Date 2021/10/19(1days)
Place (in Japanese) (See Japanese page)
Place (in English) Online
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Takashi Kobayashi(Tokyo Inst. of Tech.) / Hiroshi Takahashi(Ehime Univ.)
Vice Chair Kozo Okano(Shinshu Univ.) / Tatsuhiro Tsuchiya(Osaka Univ.)
Secretary Kozo Okano(Hiroshima City Univ.) / Tatsuhiro Tsuchiya(Tokyo Inst. of Tech.)
Assistant Shinpei Ogata(Shinshu Univ.)

Paper Information
Registration To Technical Committee on Software Science / Technical Committee on Dependable Computing
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Subclass of Mu-Calculus with the Freeze Quantifier Equivalent to Register Automata
Sub Title (in English)
Keyword(1) mu-calculus with the freeze quantifier
Keyword(2) register automaton
Keyword(3) equivalence translation
Keyword(4) model checking
1st Author's Name Akira Onishi
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 2021-10-19
Paper # SS2021-17,DC2021-22
Volume (vol) vol.121
Number (no) SS-204,DC-205
Page pp.pp.23-28(SS), pp.23-28(DC),
#Pages 6
Date of Issue 2021-10-12 (SS, DC)