Pré-Publication, Document De Travail Année : 2016

Liveness in L/U-Parametric Timed Automata

Résumé

We study timed systems in which some timing features are unknown parameters. Parametric timed automata are a classical formalism for such systems but for which most interesting problems are undecidable. Lower-bound/upper-bound parametric timed automata (L/U-PTAs) achieve decidability for reachability properties by enforcing a separation of parameters used as upper bounds in the automaton constraints, and those used a lower bounds. We further study L/U-PTAs by considering liveness related problems. We prove that: (1) the existence of at least one parameter valuation for which there exists an infinite run in the automaton is PSPACE-complete; (2) the existence of a parameter valuation such that the system has a deadlock is however undecidable; (3) the problem of the existence of a valuation for which a run remains in a given set of locations exhibits a very thin border between decidability and undecidability.

Fichier principal
Vignette du fichier
LUPTA-report.pdf (531.09 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence
HAL

Est une version de hal-01724293 Objet présenté à une conférence Étienne André, Didier Lime. Liveness in L/U-Parametric Timed Automatá. 17th International Conference on Application of Concurrency to System Design (ACSD 2017), Jun 2017, Zaragoza, Spain. ⟨10.1109/ACSD.2017.19⟩. ⟨hal-01724293⟩

Dates et versions

hal-01304232 , version 1 (19-04-2016)

Licence

Identifiants

  • HAL Id : hal-01304232 , version 1

Citer

Étienne André, Didier Lime. Liveness in L/U-Parametric Timed Automata. 2016. ⟨hal-01304232⟩
440 Consultations
290 Téléchargements

Partager

  • More