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Minimal Critical Subsystems for Discrete-Time Markov Models

  • Ralf Wimmer
  • Nils Jansen
  • Erika Ábrahám
  • Bernd Becker
  • Joost-Pieter Katoen
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7214)

Abstract

We propose a new approach to compute counterexamples for violated ω-regular properties of discrete-time Markov chains and Markov decision processes. Whereas most approaches compute a set of system paths as a counterexample, we determine a critical subsystem that already violates the given property. In earlier work we introduced methods to compute such subsystems based on a search for shortest paths. In this paper we use SMT solvers and mixed integer linear programming to determine minimal critical subsystems.

Keywords

Model Check Target State Mixed Integer Linear Program Markov Decision Process Redundant Constraint 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Ralf Wimmer
    • 1
  • Nils Jansen
    • 2
  • Erika Ábrahám
    • 2
  • Bernd Becker
    • 1
  • Joost-Pieter Katoen
    • 2
  1. 1.Albert-Ludwigs-UniversityFreiburgGermany
  2. 2.RWTH Aachen UniversityGermany

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