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On Verifying Timed Hyperproperties

Authors: Hsi-Ming Ho, Ruoyu Zhou, and Timothy M. Jones

Published in: LIPIcs, Volume 147, 26th International Symposium on Temporal Representation and Reasoning (TIME 2019)


Abstract
We study the satisfiability and model-checking problems for timed hyperproperties specified with HyperMTL, a timed extension of HyperLTL. Depending on whether interleaving of events in different traces is allowed, two possible semantics can be defined for timed hyperproperties: synchronous and asynchronous. While the satisfiability problem can be decided similarly as for HyperLTL regardless of the choice of semantics, we show that the model-checking problem for HyperMTL, unless the specification is alternation-free, is undecidable even when very restricted timing constraints are allowed. On the positive side, we show that model checking HyperMTL with quantifier alternations is possible under certain conditions in the synchronous semantics, or when there is a fixed bound on the length of the time domain.

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Hsi-Ming Ho, Ruoyu Zhou, and Timothy M. Jones. On Verifying Timed Hyperproperties. In 26th International Symposium on Temporal Representation and Reasoning (TIME 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 147, pp. 20:1-20:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)


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@InProceedings{ho_et_al:LIPIcs.TIME.2019.20,
  author =	{Ho, Hsi-Ming and Zhou, Ruoyu and Jones, Timothy M.},
  title =	{{On Verifying Timed Hyperproperties}},
  booktitle =	{26th International Symposium on Temporal Representation and Reasoning (TIME 2019)},
  pages =	{20:1--20:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-127-6},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{147},
  editor =	{Gamper, Johann and Pinchinat, Sophie and Sciavicco, Guido},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.TIME.2019.20},
  URN =		{urn:nbn:de:0030-drops-113782},
  doi =		{10.4230/LIPIcs.TIME.2019.20},
  annote =	{Keywords: Timed Automata, Temporal Logics, Cybersecurity}
}
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