2026-08-18T03:30:41Z https://drops.dagstuhl.de/oai

oai:drops-oai.dagstuhl.de:19295 2025-10-09T13:18:07Z ddc:004 open_access

Higher-Dimensional Timed and Hybrid Automata Fahrenberg, Uli timed automaton higher-dimensional automaton precubical set real time non-interleaving concurrency hybrid automaton 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. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Uli Fahrenberg 2022 Is Part Of LITES, Volume 8, Issue 2 (2022): Special Issue on Distributed Hybrid Systems. Leibniz Transactions on Embedded Systems, Volume 8, Issue 2 Article Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LITES.8.2.3 urn:nbn:de:0030-drops-192951 https://drops.dagstuhl.de/entities/document/10.4230/LITES.8.2.3 eng https://creativecommons.org/licenses/by/4.0/legalcode