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monotone circuit

RAIRO - Theoretical Informatics and Applications (1)

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Depth Lower Bounds for Monotone Semi-Unbounded Fan-in Circuits
Jan Johannsen
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 35 / Issue 3 / May 2001

Published online by Cambridge University Press:

15 April 2002, pp. 277-286

Print publication:

May 2001
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The depth hierarchy results for monotone circuits of Raz and McKenzie [5] are extended to the case of monotone circuits of semi-unbounded fan-in. It follows that the inclusions NCi ⊆ SACi ⊆ ACi are proper in the monotone setting, for every i ≥ 1.