Abstract

Distributed Real-Time Systems (DRTS) can be characterized by several communicating components whose behavior depends on a large number of timing constraints and such components can basically be located at several computers spread over a communication network. Extensions of Timed Modal Logics (TML) such as, Timed Propositional Modal Logic (TPML), Timed Modal μ-calculus and Lv have been proposed to capture timed and temporal properties in real-time systems. However, these logics rely on a so-called mono-timed semantics for the underlying Timed Labelled Transition Systems (TLTS). This semantics does not capture complex interactions between components with their associated local clocks, thus missing possible action sequences. Based on Multi-Timed Labelled Transition Systems (MLTS), which are an extension of TLTS in order to cope with the notion of distributed clocks, we propose MLv, an extension of Lv that relies on a distributed semantics for Timed Automata (TA) instead of considering uniform clocks over the distributed systems, we let time vary independently in each TA. We define the syntax and the semantics of MLv over executions of MLTS with such a semantics and we show that its model checking problem against MLv is EXPTIME-complete.

Original languageEnglish
Title of host publicationNASA Formal Methods - 11th International Symposium, NFM 2019, Proceedings
EditorsJulia M. Badger, Kristin Yvonne Rozier
PublisherSpringer Verlag
Pages19-35
Number of pages17
ISBN (Print)9783030206512
DOIs
Publication statusPublished - 23 May 2019
Event11th International Symposium on NASA Formal Methods, NFM 2019 - Houston, United States
Duration: 7 May 20199 May 2019

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11460 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference11th International Symposium on NASA Formal Methods, NFM 2019
CountryUnited States
CityHouston
Period7/05/199/05/19

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    Ortiz Vega, J. J., Amrani, M., & Schobbens, P. Y. (2019). MLv: A distributed real-time modal logic. In J. M. Badger, & K. Y. Rozier (Eds.), NASA Formal Methods - 11th International Symposium, NFM 2019, Proceedings (pp. 19-35). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11460 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-030-20652-9_2