Quantitative Multi-Objective Verification for Probabilistic Systems

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Authors

FOREJT Vojtěch KWIATKOWSKA Marta NORMAN Gethin PARKER David QU Hongyang

Year of publication 2011
Type Article in Proceedings
Conference Proc. 17th International Conference on Tools and Algorithms for the Construction and Analysis of Systems (TACAS'11)
MU Faculty or unit

Faculty of Informatics

Citation
Doi http://dx.doi.org/10.1007/978-3-642-19835-9_11
Field Informatics
Keywords stochastic systems; verification; multi-objective optimisation
Description We present a verification framework for analysing multiple quantitative objectives of systems that exhibit both nondeterministic and stochastic behaviour. These systems are modelled as probabilistic automata, enriched with cost or reward structures that capture, for example, energy usage or performance metrics. Quantitative properties of these models are expressed in a specification language that incorporates probabilistic safety and liveness properties, expected total cost or reward, and supports multiple objectives of these types. We propose and implement an efficient verification framework for such properties and then present two distinct applications of it: firstly, controller synthesis subject to multiple quantitative objectives; and, secondly, quantitative compositional verification. The practical applicability of both approaches is illustrated with experimental results from several large case studies.
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