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Ozawa et. al [1] presented numerical results for the configurational entropydensity, $s_c$, of a model glass-forming liquid in the presence of randompinning. The location of a "phase boundary" in the pin density ($c$) -temperature ($T$) plane, that separates an "ideal glass" phase from thesupercooled liquid phase, is obtained by finding the points at which $s_c(T,c)\to 0$. According to the theoretical arguments by Cammarota et. al. [2], anideal glass transition at which the $\alpha$-relaxation time $\tau_\alpha$diverges takes place when $s_c$ goes to zero. We have studied the dynamics ofthe same system using molecular dynamics simulations. We have calculated thetime-dependence of the self intermediate scattering function, $F_s(k,t)$ atthree state points in the $(c-T)$ plane where $s_c(T,c) \simeq 0$ according toRef. [1]. It is clear from the plots that the relaxation time is finite[$\tau_\alpha \sim \mathcal{O}(10^6)]$ at these state points. Similarconclusions have been obtained in Ref.[3] where an overlap function was used tocalculate $\tau_\alpha$ at these state points.

Vanishing of configurational entropy may not imply an ideal glass transition in randomly pinned liquids