Vol. 8 No. 2 (2022): Special Issue on Distributed Hybrid Systems
Special Issue on Distributed Hybrid Systems

Higher-Dimensional Timed and Hybrid Automata

Uli Fahrenberg
EPITA Research and Development Laboratory (LRDE), France

Published 2022-12-07


  • timed automaton,
  • higher-dimensional automaton,
  • precubical set,
  • real time,
  • non-interleaving concurrency,
  • hybrid automaton
  • ...More

How to Cite

Fahrenberg, U. 2022. Higher-Dimensional Timed and Hybrid Automata. Leibniz Transactions on Embedded Systems. 8, 2 (Dec. 2022), 03:1–03:16. DOI:https://doi.org/10.4230/LITES.8.2.3.


We introduce a new formalism of higher-dimensional timed automata, based on Pratt and van Glabbeek’s higher-dimensional automata and Alur and Dill’s timed automata. We prove that their reachability is PSPACE-complete and can be decided using zone-based algorithms. We also extend the setting to higher-dimensional hybrid automata.
The interest of our formalism is in modeling systems which exhibit both real-time behavior and concurrency. Other existing formalisms for real-time modeling identify concurrency and interleaving, which, as we shall argue, is problematic.


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