Robust synthesis for real-time systems

  • Authors:
  • Kim G. Larsen;Axel Legay;Louis-Marie Traonouez;Andrzej Wsowski

  • Affiliations:
  • Aalborg University, Science Selma Lagerlöfs Vej 300, 9220 Aalborg East, Denmark;IRISA/INRIA Rennes, 263 Avenue du Général Leclerc, 35042 Rennes Cedex, France;IRISA/INRIA Rennes, 263 Avenue du Général Leclerc, 35042 Rennes Cedex, France;IT University of Copenhagen, Rued Langgaards Vej 7, 2300 Copenhagen S, Denmark

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2014

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Abstract

Specification theories for real-time systems allow reasoning about interfaces and their implementation models, using a set of operators that includes satisfaction, refinement, logical and parallel composition. To make such theories applicable throughout the entire design process from an abstract specification to an implementation, we need to reason about the possibility to effectively implement the theoretical specifications on physical systems, despite their limited precision. In the literature, this implementation problem has been linked to the robustness problem that analyzes the consequences of introducing small perturbations into formal models. We address this problem of robust implementations in timed specification theories. We first consider a fixed perturbation and study the robustness of timed specifications with respect to the operators of the theory. To this end we synthesize robust strategies in timed games. Finally, we consider the parametric robustness problem and propose a counter-example refinement heuristic for computing safe perturbation values.