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Depth lower bounds for monotone semi-unbounded fan-in circuits

Jan Johannsen — 2001

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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 $N C^{i} \subseteq S A C^{i} \subseteq A C^{i}$ are proper in the monotone setting, for every $i \geq 1$ .

Depth Lower Bounds for Monotone Semi-Unbounded Fan-in Circuits

Jan Johannsen — 2010

RAIRO - Theoretical Informatics and Applications

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 ⊆ ⊆ are proper in the monotone setting, for every ≥ 1.

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