4.4 Article

ON THE CORRELATION OF PARITY AND SMALL-DEPTH CIRCUITS

Journal

SIAM JOURNAL ON COMPUTING
Volume 43, Issue 5, Pages 1699-1708

Publisher

SIAM PUBLICATIONS
DOI: 10.1137/120897432

Keywords

circuits complexity; small-depth circuits; parity; switching lemma

Funding

  1. ERC [226 203]

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We prove that the correlation of a depth-d unbounded fanin circuit of size S with parity of n variables is at most 2(-Omega(n/(log S)d-1)).

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