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Published in:
2012 | OriginalPaper | Chapter
Probabilistic Automata and Probabilistic Logic
Author : Thomas Weidner
Published in: Mathematical Foundations of Computer Science 2012
Publisher: Springer Berlin Heidelberg
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We present a monadic second-order logic which is extended by an expected value operator and show that this logic is expressively equivalent to probabilistic automata for both finite and infinite words. We give possible syntax extensions and an embedding of our probabilistic logic into weighted MSO logic. We further derive decidability results which are based on corresponding results for probabilistic automata.