Skip to Main content Skip to Navigation
Conference papers

On Decision Problems for Probabilistic Büchi Automata.

Abstract : Probabilistic Büchi automata (PBA) are finite-state acceptors for infinite words where all choices are resolved by fixed distributions and where the accepted language is defined by the requirement that the measure of the accepting runs is positive. The main contribution of this paper is a complementation operator for PBA and a discussion on several algorithmic problems for PBA. All interesting problems, such as checking emptiness or equivalence for PBA or checking whether a finite transition system satisfies a PBA-specification, turn out to be undecidable. An important consequence of these results are several undecidability results for stochastic games with incomplete information, modelled by partially-observable Markov decision processes and omega-regular winning objectives. Furthermore, we discuss an alternative semantics for PBA where it is required that almost all runs for an accepted word are accepting, which turns out to be less powerful, but has a decidable emptiness problem.
Document type :
Conference papers
Complete list of metadata

https://hal.inria.fr/inria-00424524
Contributor : Nathalie Bertrand <>
Submitted on : Friday, October 16, 2009 - 11:12:01 AM
Last modification on : Thursday, January 7, 2021 - 2:30:02 PM

Identifiers

  • HAL Id : inria-00424524, version 1

Collections

Citation

Christel Baier, Nathalie Bertrand, Marcus Größer. On Decision Problems for Probabilistic Büchi Automata.. 11th International Conference on Foundations of Software Science and Computation Structures (FoSSaCS'08), Apr 2008, Budapest, Hungary. pp.287-301. ⟨inria-00424524⟩

Share

Metrics

Record views

139