English

Interrupt Timed Automata with Auxiliary Clocks and Parameters

Logic in Computer Science 2014-09-09 v1 Formal Languages and Automata Theory

Abstract

Interrupt Timed Automata (ITA) is an expressive timed model, introduced to take into account interruptions, according to levels. Due to this feature, this formalism is incomparable with Timed Automata. However several decidability results related to reachability and model checking have been obtained. We add auxiliary clocks to ITA, thereby extending its expressive power while preserving decidability of reachability. Moreover, we define a parametrized version of ITA, with polynomials of parameters appearing in guards and updates. While parametric reasoning is particularly relevant for timed models, it very often leads to undecidability results. We prove that various reachability problems, including "robust" reachability, are decidable for this model, and we give complexity upper bounds for a fixed or variable number of clocks, levels and parameters.

Keywords

Cite

@article{arxiv.1409.2408,
  title  = {Interrupt Timed Automata with Auxiliary Clocks and Parameters},
  author = {Béatrice Bérard and Serge Haddad and Aleksandra Jovanović and Didier Lime},
  journal= {arXiv preprint arXiv:1409.2408},
  year   = {2014}
}

Comments

26 pages, 6 figures, extended version from Reachability Problems 2013

R2 v1 2026-06-22T05:51:30.088Z