Practical Abstractions for Model Checking Continuous-Time Multi-Agent Systems

Yan Kim (Interdisciplinary Centre for Security, Reliability, and Trust, SnT, University of Luxemburg), Wojciech Jamroga (Institute of Computer Science, PAS & Interdisciplinary Centre for Security, Reliability, and Trust, SnT, University of Luxembourg), Wojciech Penczek (Institute of Computer Science, Polish Academy of Science), Laure Petrucci (LIPN, CNRS UMR 7030, Université Sorbonne Paris Nord)

Abstract

Model checking of temporal logics in a well established technique to verify and validate properties of multi-agent systems (MAS). However, practical model checking requires input models of manageable size. In this paper, we extend the model reduction method by variable-based abstraction, proposed recently by Jamroga and Kim, to the verification of real-time systems and properties. To this end, we define a real-time extension of MAS graphs, extend the abstraction procedure, and prove its correctness for the universal fragment of Timed Computation Tree Logic (TCTL). Besides estimating the theoretical complexity gains, we present an experimental evaluation for a simplified model of the Estonian voting system and verification using the Uppaal model checker.