Probabilistic automata on infinite words: decidability and undecidability results

  • Authors:
  • Krishnendu Chatterjee;Thomas A. Henzinger

  • Affiliations:
  • Institute of Science and Technology Austria;Institute of Science and Technology Austria

  • Venue:
  • ATVA'10 Proceedings of the 8th international conference on Automated technology for verification and analysis
  • Year:
  • 2010

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Abstract

We consider probabilistic automata on infinite words with acceptance defined by safety, reachability, Büchi, coBüchi, and limitaverage conditions. We consider quantitative and qualitative decision problems. We present extensions and adaptations of proofs for probabilistic finite automata and present an almost complete characterization of the decidability and undecidability frontier of the quantitative and qualitative decision problems for probabilistic automata on infinite words.