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  • 标题:A Bounded Domain Property for an Expressive Fragment of First-Order Linear Temporal Logic
  • 本地全文:下载
  • 作者:Quentin Peyras ; Julien Brunel ; David Chemouil
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2019
  • 卷号:147
  • 页码:1-16
  • DOI:10.4230/LIPIcs.TIME.2019.15
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:First-Order Linear Temporal Logic (FOLTL) is well-suited to specify infinite-state systems. However, FOLTL satisfiability is not even semi-decidable, thus preventing automated verification. To address this, a possible track is to constrain specifications to a decidable fragment of FOLTL, but known fragments are too restricted to be usable in practice. In this paper, we exhibit various fragments of increasing scope that provide a pertinent basis for abstract specification of infinite-state systems. We show that these fragments enjoy the Bounded Domain Property (any satisfiable FOLTL formula has a model with a finite, bounded FO domain), which provides a basis for complete, automated verification by reduction to LTL satisfiability. Finally, we present a simple case study illustrating the applicability and limitations of our results.
  • 关键词:First-Order Linear Temporal Logic; Bounded Domain Property; Finite Domain Property; Decidability
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