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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

Funding

Both authors received support for this work from the French ANR projet "Stoch-MC".

Cite As Get BibTex

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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