2 problems

Let $f: \{0,1\}^n \to \{0,1\}$ be a Boolean function. Let $f_{\land}(x,y)=f(x_1y_1,\ldots,x_ny_n)$ be its associated AND-function, and let $C=\mathrm{BPP}^{\mathrm{cc}}(f_{\land})$…

Let $c_1,c_2,c_3,d_0>0$ be universal constants. For … , let … denote the distributions and random variables specified in the conjecture, and let $\operatorname{MMSE}_{d,\lambda}$ a…