The isomorphism conjecture for constant depth reductions

  • Authors:
  • Manindra Agrawal

  • Affiliations:
  • Department of Computer Science, IIT Kanpur, Kanpur 208016, India

  • Venue:
  • Journal of Computer and System Sciences
  • Year:
  • 2011

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Abstract

For any class C closed under TC^0 reductions, and for any measure u of uniformity containing Dlogtime, it is shown that all sets complete for C under u-uniform AC^0 reductions are isomorphic under u-uniform AC^0-computable isomorphisms.