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You should really specify how are they combined. If it is just composition, you should analyze the cases $S_1=\Pi_0\circ \Pi_1$ $S_2=\Pi_1\circ \Pi_0$, $S_3=\Pi_0\circ \Pi_0$ and $S_4=\Pi_1\circ \Pi_1$, where $\Pi_0$ is CCA and $\Pi_1$ is CPA. If you manage to prove a security type all four cases, you may establish rules for a general composition. However, ...



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