Upper Bounds for a Theory of Queues

  • Tatiana Rybina
  • Andrei Voronkov
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2719)


We prove an upper bound result for the first-order theory of a structure W of queues, i.e. words with two relations: addition of a letter on the left and on the right of a word. Using complexity-tailored Ehrenfeucht games we show that the witnesses for quantified variables in this theory can be bound by words of an exponential length. This result, together with a lower bound result for the first-order theory of two successors [6], proves that the first-order theory of W is complete in LATIME(2O(n)): the class of problems solvable by alternating Turing machines runningin exponential time but only with a linear number of alternations.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Tatiana Rybina
    • 1
  • Andrei Voronkov
    • 1
  1. 1.University of ManchesterManchester

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