Presentation 2021-03-03
A Subclass of LTL with the Freeze Quantifier Translatable into 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. LTL with the freeze quantifier (abbreviated as LTL$^downarrow$) is a counterpart of RA. However, the expressive power of LTL$^downarrow$ is too high to be applied to automatic verification. In this paper, we propose a subclass of LTL$^downarrow$ that can be translated into RA and provide a translation from this subclass to RA. In a general LTL$^downarrow$ formula, a conjunct $psi_1 wedge psi_2$ cannot be simulated by RA. The proposed subclass is defined by prohibiting at least one of $psi_1$ and $psi_2$ containing freeze quantifier or temporal operator other than $X$.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) LTL with the freeze quantifier / register automaton / equivalence translation / model checking
Paper # SS2020-29
Date of Issue 2021-02-24 (SS)

Conference Information
Committee SS
Conference Date 2021/3/3(2days)
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.)
Vice Chair Kozo Okano(Shinshu Univ.)
Secretary Kozo Okano(Hiroshima City Univ.)
Assistant Shinpei Ogata(Shinshu Univ.)

Paper Information
Registration To Technical Committee on Software Science
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Subclass of LTL with the Freeze Quantifier Translatable into Register Automata
Sub Title (in English)
Keyword(1) LTL 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 2021-03-03
Paper # SS2020-29
Volume (vol) vol.120
Number (no) SS-407
Page pp.pp.7-12(SS),
#Pages 6
Date of Issue 2021-02-24 (SS)