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Questions related to the (computational) complexity of solving problems

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$\text{MOD}_{2017}(x_1, \ldots, x_k)$ computable by bounded depth polynomial size circuit in...

Now, I have the following conjecture. $\text{MOD}_{2017}(x_1, \ldots, x_k)$ is computable by a bounded depth polynomial size circuit in the basis $\{\neg, \text{MAJ}\}$. However, I am at a loss …
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