Are there any size depth trade-offs known for monotone arithmetic circuits that compute permanent and determinant?

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    $\begingroup$ there are no monotone circuits that compute the determinant because the determinant is not a monotone function. $\endgroup$ May 9 '13 at 20:43
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    $\begingroup$ I meant sum of monotone ( I am unsure if there is a separate name for it). May be something like this sciencedirect.com/science/article/pii/S0020019097000690 $\endgroup$
    – Turbo
    May 10 '13 at 11:28

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