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Efficient Büchi Automata from LTL Formulae

  • Fabio Somenzi
  • Roderick Bloem
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1855)

Abstract

We present an algorithm to generate small Büchi automata for LTL formulae. We describe a heuristic approach consisting of three phases: rewriting of the formula, an optimized translation procedure, and simplification of the resulting automaton. We present a translation procedure that is optimal within a certain class of translation procedures. The simplification algorithm can be used for Büchi automata in general. It reduces the number of states and transitions, as well as the number and size of the accepting sets—possibly reducing the strength of the resulting automaton. This leads to more efficient model checking of linear-time logic formulae. We compare our method to previous work, and show that it is significantly more efficient for both random formulae, and formulae in common use and from the literature.

Keywords

Model Check Linear Temporal Logic Atomic Proposition Acceptance Condition Disjunctive Normal Form 
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 2000

Authors and Affiliations

  • Fabio Somenzi
    • 1
  • Roderick Bloem
    • 1
  1. 1.Department of Electrical and Computer EngineeringUniversity of ColoradoBoulder

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