Model checking bounded continuous-time Extended Linear Duration Invariants

Jie An, Naijun Zhan, Xiaoshan Li, Miaomiao Zhang, Wang Yi

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

7 Scopus citations

Abstract

Extended Linear Duration Invariants (ELDI), an important subset of Duration Calculus, extends well-studied Linear Duration Invariants with logical connectives and the chop modality. It is known that the model checking problem of ELDI is undecidable with both the standard continuous-time and discrete-time semantics [12, 13], but it turns out to be decidable if only bounded execution fragments of timed automata are concerned in the context of the discrete-time semantics [36]. In this paper, we prove that this problem is still decidable in the continuous-time semantics, although it is well-known that model-checking Duration Calculus with the continuous-time semantics is much more complicated than the one with the discrete-time semantics. This is achieved by reduction to the validity of Quantified Linear Real Arithmetic (QLRA). Some examples are provided to illustrate the eficiency of our approach.

Original languageEnglish
Title of host publicationHSCC 2018 - Proceedings of the 21st International Conference on Hybrid Systems
Subtitle of host publicationComputation and Control (part of CPS Week)
PublisherAssociation for Computing Machinery, Inc
Pages81-90
Number of pages10
ISBN (Electronic)9781450356428
DOIs
StatePublished - 11 Apr 2018
Externally publishedYes
Event21st International Conference on Hybrid Systems: Computation and Control, HSCC 2018 - Porto, Portugal
Duration: 11 Apr 201813 Apr 2018

Publication series

NameHSCC 2018 - Proceedings of the 21st International Conference on Hybrid Systems: Computation and Control (part of CPS Week)

Conference

Conference21st International Conference on Hybrid Systems: Computation and Control, HSCC 2018
Country/TerritoryPortugal
CityPorto
Period11/04/1813/04/18

Keywords

  • Duration calculus
  • ELDI
  • Model checking
  • Quantified linear real arithmetic
  • Timed automata

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