Locating P/poly optimally in the extended low hierarchy

  • Johannes Köbler
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 665)


The low hierarchy in NP and the extended low hierarchy have turned out to be very useful in classifying many interesting language classes, and almost all of them could be located optimally therein. However, until now, the exact location of P/poly remained open.

We show that P/poly is contained in the third theta level EL 3 pΘ of the extended low hierarchy. Since Allender and Hemachandra have shown that there exist sparse sets outside of EL 2 p , this is optimal.


Input String Hash Family Advice Function Polynomial Hierarchy Advice String 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Johannes Köbler
    • 1
  1. 1.Abteilung für Theoretische InformatikUniversität UlmUlmGermany

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