ON ACC and threshold circuits

  • Authors:
  • A. C. -C. Yao

  • Affiliations:
  • Dept. of Comput. Sci., Princeton Univ., NJ, USA

  • Venue:
  • SFCS '90 Proceedings of the 31st Annual Symposium on Foundations of Computer Science
  • Year:
  • 1990

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Abstract

It is proved that any language in ACC can be approximately computed by two-level circuits of size 2 raised to the (log n)/sup k/ power, with a symmetric-function gate at the top and only AND gates on the first level. This implies that any language in ACC can be recognized by depth-3 threshold circuits of that size. This result gives the first nontrivial upper bound on the computing power of ACC circuits.