Deciding whether a COPE matrix has a noncontextual ontological model of dimension k is shown to lie between (nm)^Ω(r) and poly(b,m,n)^O(k^2), and a 5x5 example separates the minimal noncontextual ontic size (5) from the minimal unconstrained ontic size (4).
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Complexity of Contextuality
Deciding whether a COPE matrix has a noncontextual ontological model of dimension k is shown to lie between (nm)^Ω(r) and poly(b,m,n)^O(k^2), and a 5x5 example separates the minimal noncontextual ontic size (5) from the minimal unconstrained ontic size (4).