English

Higher-Dimensional Timed Automata

Logic in Computer Science 2018-02-21 v1 Systems and Control

Abstract

We introduce a new formalism of higher-dimensional timed automata, based on van Glabbeek's higher-dimensional automata and Alur's timed automata. We prove that their reachability is PSPACE-complete and can be decided using zone-based algorithms. We also show how to use tensor products to combat state-space explosion and how to extend the setting to higher-dimensional hybrid automata.

Keywords

Cite

@article{arxiv.1802.07038,
  title  = {Higher-Dimensional Timed Automata},
  author = {Uli Fahrenberg},
  journal= {arXiv preprint arXiv:1802.07038},
  year   = {2018}
}
R2 v1 2026-06-23T00:27:24.806Z