On adaptive dlogtime and polylogtime reductions

  • Carme àlvarez
  • Birgit Jenner
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 775)


We investigate properties of the relativized NC and AC hierarchies in their DLOGTIME-, respectively, ALOGTIME-uniform setting and show that these hierarchies can be characterized in terms of adaptive reducibility in deterministic (poly)logarithmic time, i.e. in time O(log n)i for i≥0. Using this characterization, we substantially generalize various previous results concerning the structure of the NC and AC hierarchies.


Boolean Circuit Input Gate Circuit Family Oracle Function Gate Number 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Carme àlvarez
    • 1
  • Birgit Jenner
    • 2
  1. 1.Dept. L.S.I.Universitat Politècnica de CatalunyaBarcelonaSpain
  2. 2.Fakultät für InformatikTechnische Universität MünchenMünchenGermany

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