2 problems

Let $\mathbb R_{\mathrm{LN},\mathrm{PF}}$ be the structure generated by the larger class of Noetherian and Pfaffian functions considered in the paper. Noetherian–Pfaffian counting…

Let ${\mathcal P}$ be the domain of a Noetherian chain and let $P_1,\ldots,P_n:{\mathcal P}\to\mathbb C$ be Noetherian functions of format ${\mathscr F}$. Khovanskii's format-bound…