Multilinear-NC/sub 1/ /spl ne/ multilinear-NC/sub 2/

  title={Multilinear-NC/sub 1/ /spl ne/ multilinear-NC/sub 2/},
  author={Ran Raz},
  journal={45th Annual IEEE Symposium on Foundations of Computer Science},
  • Ran Raz
  • Published 2004 in
    45th Annual IEEE Symposium on Foundations of…
An arithmetic circuit or formula is multilinear if the polynomial computed at each of its wires is multilinear. We give an explicit example for a polynomial f(x/sub 1/,..., x/sub n/), with coefficients in {0,1}, such that over any field: (1) f can be computed by a polynomial-size multilinear circuit of depth O(log/sup 2/ n). (2) Any multilinear formula for… CONTINUE READING