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Alternating Nonzero Automata

Authors Paulin Fournier, Hugo Gimbert



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Author Details

Paulin Fournier
  • LS2N, Université de Nantes, France
Hugo Gimbert
  • CNRS, LaBRI, Université de Bordeaux, France

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Paulin Fournier and Hugo Gimbert. Alternating Nonzero Automata. In 29th International Conference on Concurrency Theory (CONCUR 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 118, pp. 13:1-13:16, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2018)
https://doi.org/10.4230/LIPIcs.CONCUR.2018.13

Abstract

We introduce a new class of automata on infinite trees called alternating nonzero automata, which extends the class of non-deterministic nonzero automata. The emptiness problem for this class is still open, however we identify a subclass, namely limited choice, for which we reduce the emptiness problem for alternating nonzero automata to the same problem for non-deterministic ones, which implies decidability. We obtain, as corollaries, algorithms for the satisfiability of a probabilistic temporal logic extending both CTL* and the qualitative fragment of pCTL*.

Subject Classification

ACM Subject Classification
  • Theory of computation → Complexity theory and logic
Keywords
  • zero-automata
  • probabilities
  • temporal logics

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