  Starting from the time evolution of the C-odd $\bar{K}^0 K^0$ system, we
analyze the asymmetries measurable at DAFNE and their implications on CP
violation and on the possible tests of T and CPT symmetries. In particular the
ratio $\epsilon'/\epsilon$ can be measured with high precision (up to about
$10^{-4}$ for the real part). The CP-, T- and CPT-violating parameters can be
explored in $K_S$ semileptonic decays with an accuracy of the order of
$10^{-3}$. The possibility to detect $K_S \to 3 \pi$ and $K_L \to \pi \pi
\gamma$ decays is also discussed.
