Minimising deterministic Büchi automata precisely using SAT solving

  • Authors:
  • Rüdiger Ehlers

  • Affiliations:
  • Reactive Systems Group, Saarland University, Germany

  • Venue:
  • SAT'10 Proceedings of the 13th international conference on Theory and Applications of Satisfiability Testing
  • Year:
  • 2010

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Abstract

We show how deterministic Büchi automata can be fully minimised by reduction to the satisfiability (SAT) problem, yielding the first automated method for this task. Size reduction of such ω-automata is an important step in probabilistic model checking as well as synthesis of finite-state systems. Our experiments demonstrate that state-of-the-art SAT solvers are capable of solving the resulting satisfiability problem instances quickly, making the approach presented valuable in practice.