Model Checking Algorithms for CTMDPs

Peter Buchholz, Ernst Moritz Hahn, Holger Hermanns, Lijun Zhang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

28 Citations (Scopus)


Continuous Stochastic Logic (CSL) can be interpreted over continuous-time Markov decision processes (CTMDPs) to specify quantitative properties of stochastic systems that allow some external control. Model checking CSL formulae over CTMDPs requires then the computation of optimal control strategies to prove or disprove a formula. The paper presents a conservative extension of CSL over CTMDPs—with rewards—and exploits established results for CTMDPs for model checking CSL. A new numerical approach based on uniformization is devised to compute time bounded reachability results for time dependent control strategies. Experimental evidence is given showing the efficiency of the approach.
Original languageEnglish
Title of host publicationComputer Aided Verification - 23rd International Conference, CAV 2011, Snowbird, UT, USA, July 14-20, 2011. Proceedings
Number of pages18
Publication statusPublished - 2011
Externally publishedYes


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