Probabilistic Automata and Probabilistic Logic

  • Thomas Weidner
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7464)


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.


Probabilistic Logic Acceptance Condition Bernoulli Measure Probabilistic Automaton Weighted Automaton 
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© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Thomas Weidner
    • 1
  1. 1.Institut für InformatikUniversität LeipzigLeipzigGermany

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