How good is the adversary lower bound ?

  • Peter Ružička
  • Juraj Wiedermann
Part of the Lecture Notes in Computer Science book series (LNCS, volume 53)


In this paper we discuss the strength of the adversary argument in establishing lower bounds on the complexity of certain sorting-type problems. The relationship between adversary argument and so called information theory argument is indicated and the efficiency of adversary argument relative to the type of comparisons involved in the computation of a problem is investigated. The results concern the effect of polynomial comparisons on lower bounds. In certain cases (MIN and MERGE problems) by using polynomial comparisons we are able to obtain assymptotically the same lower bounds as those established when comparisons without arithmetics are used.


Lower Bound Decision Problem Comparison Tree Automaton Theory Comparison Problem 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1977

Authors and Affiliations

  • Peter Ružička
    • 1
  • Juraj Wiedermann
    • 1
  1. 1.Computing Research CentreBratislavaCzechoslovakia

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