The 10,000 facets of MDP model checking

C Baier, H Hermanns, JP Katoen - … and Software Science: State of the Art …, 2019 - Springer
This paper presents a retrospective view on probabilistic model checking. We focus on
Markov decision processes (MDPs, for short). We survey the basic ingredients of MDP …

On abstraction of probabilistic systems

C Dehnert, D Gebler, M Volpato, DN Jansen - International Autumn School …, 2012 - Springer
Probabilistic model checking extends traditional model checking by incorporating
quantitative information about the probability of system transitions. However, probabilistic …

Coalgebraic trace semantics for continuous probabilistic transition systems

H Kerstan, B König - Logical Methods in Computer Science, 2013 - lmcs.episciences.org
Coalgebras in a Kleisli category yield a generic definition of trace semantics for various
types of labelled transition systems. In this paper we apply this generic theory to generative …

Performance preserving equivalence for stochastic process algebra dtsdPBC

IV Tarasyuk - Сибирские электронные математические известия, 2023 - mathnet.ru
Petri box calculus (PBC) of E. Best, R. Devillers, JG Hall and M. Koutny is a well-known
algebra of parallel processes with a Petri net semantics. Discrete time stochastic and …

Deciding probabilistic automata weak bisimulation: theory and practice

LM Ferrer Fioriti, V Hashemi, H Hermanns… - Formal Aspects of …, 2016 - Springer
Weak probabilistic bisimulation on probabilistic automata can be decided by an algorithm
that needs to check a polynomial number of linear programming problems encoding weak …

[HTML][HTML] Axiomatising infinitary probabilistic weak bisimilarity of finite-state behaviours

N Fischer, R van Glabbeek - Journal of Logical and Algebraic Methods in …, 2019 - Elsevier
In concurrency theory, weak bisimilarity is often used to relate processes exhibiting the same
observable behaviour. The probabilistic environment gives rise to several generalisations; …

Stochastic equivalence for performance analysis of concurrent systems in dtsiPBC

IV Tarasyuk, H Macia, V Valero - arXiv preprint arXiv:1702.07478, 2017 - arxiv.org
We propose an extension with immediate multiactions of discrete time stochastic Petri Box
Calculus (dtsPBC), presented by IV Tarasyuk. The resulting algebra dtsiPBC is a discrete …

Principles of Markov automata

CG Eisentraut - 2017 - publikationen.sulb.uni-saarland.de
A substantial amount of today's engineering problems revolve around systems that are
concurrent and stochastic by their nature. Solution approaches attacking these problems …

On the efficiency of deciding probabilistic automata weak bisimulation

V Hashemi, H Hermanss, A Turrini - Electronic Communications of the …, 2014 - eceasst.org
Weak probabilistic bisimulation on probabilistic automata can be decided by an algorithm
that needs to check a polynomial number of linear programming problems encoding weak …

[HTML][HTML] Markov Automata: Deciding weak bisimulation by means of non-naïvely vanishing states

J Schuster, M Siegle - Information and Computation, 2014 - Elsevier
This paper develops a decision algorithm for weak bisimulation on Markov Automata (MA).
For this purpose, different notions of vanishing states (a concept originating from the area of …