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Erschienen in:
2013 | OriginalPaper | Buchkapitel
The Duality of State and Observation in Probabilistic Transition Systems
verfasst von : Monica Dinculescu, Christopher Hundt, Prakash Panangaden, Joelle Pineau, Doina Precup
Erschienen in: Logic, Language, and Computation
Verlag: Springer Berlin Heidelberg
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In this paper we consider the problem of representing and reasoning about systems, especially probabilistic systems, with hidden state. We consider transition systems where the state is not completely visible to an outside observer. Instead, there are observables that partly identify the state. We show that one can interchange the notions of state and observation and obtain what we call a dual system. In the case of deterministic systems, the double dual gives a minimal representation of the behaviour of the original system. We extend these ideas to probabilistic transition systems and to partially observable Markov decision processes (POMDPs).