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Zhang, Lijun and Hermanns, H. and Jansen, D.N.
(2005)
Logic and model checking for hidden Markov models.
Technical Report 6
Transregional Collaborative Research Center 14 AVACS, Germany.
ISSN 1860-9821
Full text available as:
Official URL: http://www.avacs.org/Publikationen/Open/avacs_technical_report_006.pdf ![]() AbstractThe branching-time temporal logic PCTL* has been introduced to specify quantitative properties over probability systems, such as discrete-time Markov chains. Until now, however, no logics have been defined to specify properties over hidden Markov models (HMMs). In HMMs the states are hidden, and the hidden processes produce a sequence of observations. In this paper we extend the logic PCTL* to POCTL*. With our logic one can state properties such as ``there is at least a 90 percent probability that the model produces a given sequence of observations'' over HMMs. Subsequently, we give model checking algorithms for POCTL* over HMMs.
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