Five Determinisation Algorithms

  • Rob van Glabbeek
  • Bas Ploeger
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5148)


Determinisation of nondeterministic finite automata is a well-studied problem that plays an important role in compiler theory and system verification. In the latter field, one often encounters automata consisting of millions or even billions of states. On such input, the memory usage of analysis tools becomes the major bottleneck. In this paper we present several determinisation algorithms, all variants of the well-known subset construction, that aim to reduce memory usage and produce smaller output automata. One of them produces automata that are already minimal. We apply our algorithms to determinise automata that describe the possible sequences appearing after a fixed-length run of cellular automaton 110, and obtain a significant improvement in both memory and time efficiency.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Rob van Glabbeek
    • 1
    • 2
  • Bas Ploeger
    • 3
  1. 1.National ICT AustraliaSydneyAustralia
  2. 2.School of Computer Science and EngineeringThe University of New South WalesSydneyAustralia
  3. 3.Department of Mathematics and Computer ScienceEindhoven University of TechnologyEindhovenThe Netherlands

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