On ACC

  • Authors:
  • Richard Beigel;Jun Tarui

  • Affiliations:
  • -;-

  • Venue:
  • SFCS '91 Proceedings of the 32nd annual symposium on Foundations of computer science
  • Year:
  • 1991

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Abstract

It has been shown by A. Yao (1990) that every language in ACC is recognized by a sequence of depth-2 probabilistic circuits with a symmetric gate at the root and n/sup polylog/(n) AND gates of fan-in polylog (n) at the leaves. The authors simplify Yao's proof and strengthen his results: every language in ACC is recognized by a sequence of depth-2 deterministic circuits with a symmetric gate at the root and n/sup polylog/(n) AND gates of fan-in polylog(n) at the leaves. They also analyze and improve modulus-amplifying polynomials constructed by S. Toda (1989) and Yao: this yields smaller circuits in Yao's and the present results on ACC.