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Mechanizing the Powerset Construction for Restricted Classes of ω-Automata

  • Christian Dax
  • Jochen Eisinger
  • Felix Klaedtke
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4762)

Abstract

Automata over infinite words provide a powerful framework to solve various decision problems. However, the mechanized reasoning with restricted classes of automata over infinite words is often simpler and more efficient. For instance, weak deterministic Büchi automata (wdbas) can be handled algorithmically almost as efficient as deterministic automata over finite words. In this paper, we show how and when the standard powerset construction for automata over finite words can be used to determinize automata over infinite words. An instance is the class of automata that accept wdba-recognizable languages. Furthermore, we present applications of this new determinization construction. Namely, we apply it to improve the automata-based approach for the mixed first-order linear arithmetic over the reals and the integers, and we utilize it to accelerate finite state model checking. We report on experimental results for these two applications.

Keywords

Model Check Acceptance Condition Linear Time Temporal Logic Linear Arithmetic State Model Check 
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 2007

Authors and Affiliations

  • Christian Dax
    • 1
  • Jochen Eisinger
    • 2
  • Felix Klaedtke
    • 1
  1. 1.ETH ZurichSwitzerland
  2. 2.Albert-Ludwigs-Universität FreiburgGermany

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