On the boolean closure of NP

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


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.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

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

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