A Hierarchy of Scheduler Classes for Stochastic Automata

TitleA Hierarchy of Scheduler Classes for Stochastic Automata
Publication TypeBook Chapter
Year of Publication2018
AuthorsD'Argenio, PR, Gerhold, M, Hartmanns, A, Sedwards, S
EditorBaier, C, Dal Lago, U
Book TitleFoundations of Software Science and Computation Structures - 21st International Conference, FOSSACS 2018, Held as Part of ETAPS 2018, Thessaloniki, Greece, April 14-20, 2018, Proceedings
Series TitleLecture Notes in Computer Science
Volume10803
Pagination384–402
PublisherSpringer
AbstractStochastic automata are a formal compositional model for concurrent stochastic timed systems, with general distributions and nondeterministic choices. Measures of interest are defined over schedulers that resolve the nondeterminism. In this paper we investigate the power of various theoretically and practically motivated classes of schedulers, considering the classic complete-information view and a restriction to non-prophetic schedulers. We prove a hierarchy of scheduler classes w.r.t. unbounded probabilistic reachability. We find that, unlike Markovian formalisms, stochastic automata distinguish most classes even in this basic setting. Verification and strategy synthesis methods thus face a tradeoff between powerful and efficient classes. Using lightweight scheduler sampling, we explore this tradeoff and demonstrate the concept of a useful approximative verification technique for stochastic automata.
URLhttps://doi.org/10.1007/978-3-319-89366-2_21
DOI10.1007/978-3-319-89366-2_21
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