Nonuniform lower bounds for exponential time classes

  • Steven Homer
  • Sarah Mocas
Contributed Papers Structural Complexity Theory
Part of the Lecture Notes in Computer Science book series (LNCS, volume 969)


Lower bounds for the first levels of the exponential time hierarchy with respect to circuit and advice classes are studied. Using time bounded Kolmogorov complexity, languages are constructed which witness that various exponential time classes are not included in (fixed) polynomial advice classes. We show as well that these languages are not included in small circuit families where the circuits are of a fixed, polynomial size. The results yield optimal bounds (up to relativization) on efficient nonuniform computation.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Steven Homer
    • 1
  • Sarah Mocas
    • 2
  1. 1.Computer Science DepartmentBoston UniversityBoston
  2. 2.Computer Science DepartmentPortland State UniversityPortland

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