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arXiv · 1104.0127

The Decidability Frontier for Probabilistic Automata on Infinite Words

Krishnendu Chatterjee·Thomas A. Henzinger·Mathieu Tracol
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Abstract

We consider probabilistic automata on infinite words with acceptance defined by safety, reachability, B\"uchi, coB\"uchi, and limit-average conditions. We consider quantitative and qualitative decision problems. We present extensions and adaptations of proofs for probabilistic finite automata and present a complete characterization of the decidability and undecidability frontier of the quantitative and qualitative decision problems for probabilistic automata on infinite words.

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Krishnendu Chatterjee, Thomas A. Henzinger, Mathieu Tracol. 2011-04-01. The Decidability Frontier for Probabilistic Automata on Infinite Words. https://arxiv.org/abs/1104.0127

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