Equivalence and Minimization for Model Checking Labeled Markov Chains

Peter Buchholz, Jan Kriege, Dimitri Scheftelowitsch
2016 Proceedings of the 9th EAI International Conference on Performance Evaluation Methodologies and Tools  
Model checking of Markov chains using logics like CSL or asCSL proves whether a logical formula holds for a state of the Markov chain. It has been developed in the last decade to a widely used approach to express performance and dependability quantities for models from a wide range of application areas. In this paper, model checking is extended to prove formulas for distributions rather than single states. This is a very natural way to express certain performance or dependability measures that
more » ... epend on the state of the system rather than on a specific state in the state space of the Markov chain. It is shown that the mentioned logics can be easily extended from states to distributions and model checking algorithms can also be easily adopted. Furthermore, new equivalences will be introduced that are weaker than bisimulation but still characterize the extended logics.
doi:10.4108/eai.14-12-2015.2262622 dblp:journals/sis/BuchholzKS16 fatcat:tmplwxkn4vbr7awvgszx6ojgni