Survey on Directed Model Checking

International audienceThis article surveys and gives historical accounts to the algorithmic essentials of directed model checking, a promising bug-hunting technique to mitigate the state explosion problem. In the enumeration process, successor selection is prioritized. We discuss existing guidance and methods to automatically generate them by exploiting system abstractions. We extend the algorithms to feature partial-order reduction and show how liveness problems can be adapted by lifting the search Space. For deterministic, finite domains we instantiate the algorithms to directed symbolic, external and distributed search. For real-time domains we discuss the adaption of the algorithms to timed automata and for probabilistic domains we show the application to counterexample generation. Last but not least, we explain how directed model checking helps to accelerate finding solutions to scheduling problems

Distributed extended beam search for quantitative model checking

In this paper, we mainly focus on solving scheduling problems with model checking, where a finite number of entities needs to be processed as efficiently as possible, for instance by a machine. To solve these problems, we model them in untimed process algebra, where time is modelled using a special tick action. We propose a set of distributed state space explorations to find schedules for the modelled problems, building on the traditional notion of beam search. The basic approach is called distributed (detailed) beam search, which prunes parts of the state space while searching using an evaluation function in order to find near-optimal schedules in very large state spaces. Variations on this approach are presented, such as distributed flexible, distributed g-synchronised, and distributed priority beam search, which can also practically be used in combinations

Distributed Extended Beam Search for Quantitative Model Checking

In this paper, we mainly focus on solving scheduling problems with model checking, where a finite number of entities needs to be processed as efficiently as possible, for instance by a machine. To solve these problems, we model them in untimed process algebra, where time is modelled using a special tick action. We propose a set of distributed state space explorations to find schedules for the modelled problems, building on the traditional notion of beam search. The basic approach is called distributed (detailed) beam search, which prunes parts of the state space while searching using an evaluation function in order to find near-optimal schedules in very large state spaces. Variations on this approach are presented, such as distributed flexible, distributed g-synchronised, and distributed priority beam search, which can also practically be used in combinations

Distributed extended beam search for quantitative model checking

In this paper, we mainly focus on solving scheduling problems with model checking, where a finite number of entities needs to be processed as efficiently as possible, for instance by a machine. To solve these problems, we model them in untimed process algebra, where time is modelled using a special tick action. We propose a set of distributed state space explorations to find schedules for the modelled problems, building on the traditional notion of beam search. The basic approach is called distributed (detailed) beam search, which prunes parts of the state space while searching using an evaluation function in order to find near-optimal schedules in very large state spaces. Variations on this approach are presented, such as distributed flexible, distributed g-synchronised, and distributed priority beam search, which can also practically be used in combinations