Advertisement

On the boolean closure of NP

  • Gerd Wechsung
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 199)

Abstract

By endowing usual nondeterministic Turing machines with new modes of acceptance we introduce new machines whose computational power is bounded by that of alternating Turing machines making only one alternation. The polynomial time classes of these machines are exactly the levels of the Boolean closure of NP which can be defined in a natural way. For all these classes natural problems can be found which are proved to be ≤ m P -complete in these classes.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

7. References

  1. [Coo 71]
    Cook,S.A., The complexity of theorem proving procedures, Proc. of the 3rd ACM Symposium on Theory of Computing (1971), 151–158.Google Scholar
  2. [GaJo 79]
    Garey, M.R., Johnson, D.S., Computers and Intractability: A Guide to the Theory of NP-Completeness, San Francisco, Freeman, 1979.Google Scholar
  3. [Hau 14]
    Hausdorff,F., Grundzüge der Mengenlehre, Leipzig 1914.Google Scholar
  4. [PaYa 82]
    Papadimitriou,Ch.H., Yannakakis,M., The complexity of facets (and some facets of complexity), Proc. of the 14th ACM Symposium on Theory of Computing (1982), 255–260.Google Scholar
  5. [Rog 67]
    Rogers,H., Jr., Theory of Recursive Functions and Effective Computability, McGraw-Hill Book Company New York, St. Louis, San Francisco, Toronto, London Sidney.Google Scholar
  6. [Wag 79]
    Wagner, Klaus, On ω-regular sets, Information and Control 43 (1979), 123–177.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • Gerd Wechsung
    • 1
  1. 1.Department of MathematicsFriedrich Schiller University JenaGermany

Personalised recommendations