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Research demonstrates that computing the threshold function complexity in networks implies significant limitations.
We prove that the complexity of computation of the threshold symmetric function <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msubsup> <m:mi>T</m:mi> <m:mi>n</m:mi> <m:mrow> <m:mi>n</m:mi> <m:mo>−</m:mo> <m:mn>1</m:mn> </m:mrow> </m:msubsup> </m:math> Tₙⁿ⁻¹ by monotone switching networks is Ω ( n log log n ).
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Igor S. Sergeev (2025) studied this question.
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