Verification and Control of Turn-Based Probabilistic Real-Time Games

Kwiatkowska, M., Norman, G. and Parker, D. (2019) Verification and Control of Turn-Based Probabilistic Real-Time Games. In: Alvim, M. S., Chatzikokolakis, K., Olarte, C. and Valencia, F. (eds.) The Art of Modelling Computational Systems: A Journey from Logic and Concurrency to Security and Privacy: Essays Dedicated to Catuscia Palamidessi on the Occasion of Her 60th Birthday. Series: Lecture notes in computer science (11760). Springer: Cham, pp. 379-396. ISBN 9783030311742 (doi: 10.1007/978-3-030-31175-9_22)

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Abstract

Quantitative verification techniques have been developed for the formal analysis of a variety of probabilistic models, such as Markov chains, Markov decision process and their variants. They can be used to produce guarantees on quantitative aspects of system behaviour, for example safety, reliability and performance, or to help synthesise controllers that ensure such guarantees are met. We propose the model of turn-based probabilistic timed multi-player games, which incorporates probabilistic choice, real-time clocks and nondeterministic behaviour across multiple players. Building on the digital clocks approach for the simpler model of probabilistic timed automata, we show how to compute the key measures that underlie quantitative verification, namely the probability and expected cumulative price to reach a target. We illustrate this on case studies from computer security and task scheduling.

Item Type:Book Sections
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Norman, Dr Gethin
Authors: Kwiatkowska, M., Norman, G., and Parker, D.
College/School:College of Science and Engineering > School of Computing Science
Publisher:Springer
ISBN:9783030311742
Published Online:04 November 2019
Copyright Holders:Copyright © 2019 Springer Nature Switzerland AG
First Published:First published in The Art of Modelling Computational Systems: A Journey from Logic and Concurrency to Security and Privacy: Essays Dedicated to Catuscia Palamidessi on the Occasion of Her 60th Birthday: 379-396
Publisher Policy:Reproduced in accordance with the publisher copyright policy

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