Verification and control of turn-based probabilistic real-time games

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, reliabilit...

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Main Authors: Kwiatkowska, M, Norman, G, Parker, D
Format: Conference item
Published: Springer Verlag 2019
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author Kwiatkowska, M
Norman, G
Parker, D
author_facet Kwiatkowska, M
Norman, G
Parker, D
author_sort Kwiatkowska, M
collection OXFORD
description 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.
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spelling oxford-uuid:071082e8-71d7-4e4b-81ef-73f36e56fa822022-03-26T09:05:41ZVerification and control of turn-based probabilistic real-time gamesConference itemhttp://purl.org/coar/resource_type/c_5794uuid:071082e8-71d7-4e4b-81ef-73f36e56fa82Symplectic Elements at OxfordSpringer Verlag2019Kwiatkowska, MNorman, GParker, DQuantitative 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.
spellingShingle Kwiatkowska, M
Norman, G
Parker, D
Verification and control of turn-based probabilistic real-time games
title Verification and control of turn-based probabilistic real-time games
title_full Verification and control of turn-based probabilistic real-time games
title_fullStr Verification and control of turn-based probabilistic real-time games
title_full_unstemmed Verification and control of turn-based probabilistic real-time games
title_short Verification and control of turn-based probabilistic real-time games
title_sort verification and control of turn based probabilistic real time games
work_keys_str_mv AT kwiatkowskam verificationandcontrolofturnbasedprobabilisticrealtimegames
AT normang verificationandcontrolofturnbasedprobabilisticrealtimegames
AT parkerd verificationandcontrolofturnbasedprobabilisticrealtimegames