sis 16(11): e2

Research Article

Equivalence and Minimization for Model Checking Labeled Markov Chains

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  • @ARTICLE{10.4108/eai.14-12-2015.2262622,
        author={Peter Buchholz and Jan Kriege and Dimitri Scheftelowitsch},
        title={Equivalence and Minimization for Model Checking Labeled Markov Chains},
        journal={EAI Endorsed Transactions on Scalable Information Systems},
        volume={3},
        number={11},
        publisher={ACM},
        journal_a={SIS},
        year={2016},
        month={1},
        keywords={model checking, labeled markov chains, equivalence},
        doi={10.4108/eai.14-12-2015.2262622}
    }
    
  • Peter Buchholz
    Jan Kriege
    Dimitri Scheftelowitsch
    Year: 2016
    Equivalence and Minimization for Model Checking Labeled Markov Chains
    SIS
    EAI
    DOI: 10.4108/eai.14-12-2015.2262622
Peter Buchholz1, Jan Kriege1, Dimitri Scheftelowitsch1,*
  • 1: TU Dortmund
*Contact email: dimitri.scheftelowitsch@cs.tu-dortmund.de

Abstract

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 depend 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.