History-deterministic Timed Automata - MOVE Modélisation et Vérification - LIS Laboratoire d'Informatique et Systèmes de Marseille (UMR 7020) Access content directly
Preprints, Working Papers, ... Year : 2023

History-deterministic Timed Automata

Sougata Bose
  • Function : Author
  • PersonId : 1303386
Thomas A. Henzinger
  • Function : Author
Karoliina Lehtinen
  • Function : Author
  • PersonId : 1107394
Sven Schewe
  • Function : Author
  • PersonId : 1303387
Patrick Totzke
  • Function : Author
  • PersonId : 1303388

Abstract

We explore the notion of history-determinism in the context of timed automata (TA) over infinite timed words. History-deterministic (HD) 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 HD specifications allow for game-based verification without an expensive determinization step. We show that the class of timed $\omega$-languages recognised by HD timed automata strictly extends that of deterministic ones, and is strictly included in those recognised by fully non-deterministic TA. For non-deterministic timed automata it is known that universality is already undecidable for B\"uchi TA. For history-deterministic TA with arbitrary parity acceptance, we show that timed universality, inclusion, and synthesis all remain decidable and are EXPTIME-complete. For the subclass of TA with safety or reachability acceptance, one can decide (in EXPTIME) whether such an automaton is history-deterministic. If so, it can effectively determinized without introducing new automata states.
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Dates and versions

hal-04271355 , version 1 (06-11-2023)

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Sougata Bose, Thomas A. Henzinger, Karoliina Lehtinen, Sven Schewe, Patrick Totzke. History-deterministic Timed Automata. 2023. ⟨hal-04271355⟩
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