In order to apply formal methods in practice, the practitioner has to comprehend a vast
amount of research literature and realistically evaluate practical merits of different …

This tutorial provides an introduction to probabilistic model checking, a technique for
automatically verifying quantitative properties of probabilistic systems. We focus on Markov …

The model-checking approach was originally formulated for verifying qualitative properties
of systems, for example safety and liveness (see Chap. 2), and subsequently extended to …

In model-based safety analysis both qualitative aspects ie what must go wrong for a system
failure) and quantitative aspects (ie how probable is a system failure) are very important. For …

The bottleneck in the quantitative analysis of Markov chains and Markov decision processes
against specifications given in LTL or as some form of nondeterministic B\" uchi automata is …

Probabilistic model checking is an automated verification method that aims to establish the
correctness of probabilistic systems. Probability may arise, for example, due to failures of …

Probabilistic verification techniques have been applied to the formal modelling and analysis
of a wide range of systems, from communication protocols such as Bluetooth, to nanoscale …

We present algorithms for parallel probabilistic model checking on general purpose graphic
processing units (GPGPUs). Our improvements target the numerical components of the …

This chapter describes work that has been carried out to apply formal verification techniques
to communication protocols. It gives an overview of probabilistic timed automata (PTA) …

Model-based safety analysis approaches aim at finding critical failure combinations by
analysis of models of the whole system (ie software, hardware, failure modes and …