The Polynomial Time Hierarchy Collapses if the Boolean Hierarchy Collapses

  • Authors:

  • Jim Kadin

  • Affiliations:

  • -

  • Venue:
  • The Polynomial Time Hierarchy Collapses if the Boolean Hierarchy Collapses
  • Year:
  • 1987

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Abstract

The structure of the Boolean hierarchy (BH) is related to the polynomial time hierarchy (PH) by showing that if the BH collapses, then $PH \subseteq \Delta^{P}_{3}$.