Lower bounds for synchronous circuits and planar circuits (Q1114661)

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scientific article; zbMATH DE number 4083546
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Lower bounds for synchronous circuits and planar circuits
scientific article; zbMATH DE number 4083546

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    Lower bounds for synchronous circuits and planar circuits (English)
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    1989
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    It is shown that there exist explicitly defined one-output Boolean functions \(f_ n\) and \(g_ n\) with circuit complexity O(n) such that the synchronous circuit complexity of \(f_ n\) is \(\Omega\) (n log n) and the planar circuit complexity of \(g_ n\) is \(\Omega (n^ 2)\).
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    one-output Boolean functions
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    synchronous circuit complexity
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    planar circuit complexity
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