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A new theory-independent noncontextuality inequality is presented R. Kunjwal and R. W. Spekkens, Phys. Rev. Lett. 115, 110403 (2015) based on a Kochen-Specker (KS) set without imposing the assumption of determinism. By proposing noncontextuality inequalities, we show that such result can be generalized from a KS set to the noncontextuality inequalities not only for a state-independent scenario but also for a state-dependent scenario. The YO-13 ray and n cycle ray are considered as examples.
Xu et al. (Tue,) studied this question.