Smolensky’s Lower Bound
نویسنده
چکیده
We will be interested in Boolean functions over the Boolean cube {0, 1} and their polynomial approximations. Razborov’s method for approximating an AC0[p] circuit produces a polynomial over Zp (in fact, this generalizes to prime powers); Smolensky’s lower bounds work for any field F. For the rest of the writeup, we will assume all polynomials are over some fixed field F, unless explicitly noted. Razborov’s polynomial takes the values 0, 1 ∈ Zp; Smolensky’s method works for the following weaker concept.
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