Larsen, Kim Guldstrand1; Legay, Axel3; Traonouez, Louis-Marie6; Wasowski, Andrzej8
1 CISS - Center for Embedded Software Systems, The Technical Faculty of IT and Design, Aalborg University, VBN2 Distributed Systems and Semantics, The Technical Faculty of IT and Design, Aalborg University, VBN3 Department of Computer Science, The Technical Faculty of IT and Design, Aalborg University, VBN4 Aalborg U Robotics, The Faculty of Humanities, Aalborg University, VBN5 The Faculty of Engineering and Science (TECH), Aalborg University, VBN6 Department of Electronic Systems, The Technical Faculty of IT and Design, Aalborg University, VBN7 IT University of Copenhagen8 IT University of Copenhagen
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.
Theoretical Computer Science, 2014, Vol 515, p. 92-122