License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CONCUR.2022.14
URN: urn:nbn:de:0030-drops-170778
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2022/17077/
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Henzinger, Thomas A. ; Lehtinen, Karoliina ; Totzke, Patrick

History-Deterministic Timed Automata

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LIPIcs-CONCUR-2022-14.pdf (0.7 MB)

Abstract

We explore the notion of history-determinism in the context of timed automata (TA). History-deterministic automata are those in which nondeterminism can be resolved on the fly, based on the run constructed thus far. History-determinism is a robust property that admits different game-based characterisations, and history-deterministic specifications allow for game-based verification without an expensive determinization step.
We show yet another characterisation of history-determinism in terms of fair simulation, at the general level of labelled transition systems: a system is history-deterministic precisely if and only if it fairly simulates all language smaller systems.
For timed automata over infinite timed words it is known that universality is undecidable for Büchi TA. We show that for history-deterministic TA with arbitrary parity acceptance, timed universality, inclusion, and synthesis all remain decidable and are ExpTime-complete.
For the subclass of TA with safety or reachability acceptance, we show that checking whether such an automaton is history-deterministic is decidable (in ExpTime), and history-deterministic TA with safety acceptance are effectively determinizable without introducing new automata states.

BibTeX - Entry

@InProceedings{henzinger_et_al:LIPIcs.CONCUR.2022.14,
  author =	{Henzinger, Thomas A. and Lehtinen, Karoliina and Totzke, Patrick},
  title =	{{History-Deterministic Timed Automata}},
  booktitle =	{33rd International Conference on Concurrency Theory (CONCUR 2022)},
  pages =	{14:1--14:21},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-246-4},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{243},
  editor =	{Klin, Bartek and Lasota, S{\l}awomir and Muscholl, Anca},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2022/17077},
  URN =		{urn:nbn:de:0030-drops-170778},
  doi =		{10.4230/LIPIcs.CONCUR.2022.14},
  annote =	{Keywords: Timed Automata, History-determinism, Good-for-games, fair simulation, synthesis}
}

Keywords: Timed Automata, History-determinism, Good-for-games, fair simulation, synthesis
Collection: 33rd International Conference on Concurrency Theory (CONCUR 2022)
Issue Date: 2022
Date of publication: 06.09.2022

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