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1727 Logic and model checking for hidden Markov models
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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

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Official URL: http://www.avacs.org/Publikationen/Open/avacs_technical_report_006.pdf

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Abstract

The 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.

Item Type:External Report
Research Group:EWI-FMT: Formal Methods and Tools
Research Program:CTIT-UBRICKS: Building Blocks for Ubiquitous Computing and Communication
Additional Information:AVACS Technical Report No. 6
ID Code:1727
Deposited On:01 May 2006
Refereed:No
International:No
More Information:statisticsmetis

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