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

Issue		RAIRO-Theor. Inf. Appl. Volume 35, Number 3, May-June 2001


Page(s)		277 - 286
DOI		10.1051/ita:2001120

DOI: 10.1051/ita:2001120

Theoret. Informatics Appl. 35, 277-286 (2001)

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

Jan Johannsen

Institut für Informatik, Ludwig-Maximilians-Universität München, Oettingenstraße 67, 80538 München, Germany;
e-mail: jjohanns@informatik.uni-muenchen.de

(Received January, 2001. Accepted August 8, 2001)

Abstract
The depth hierarchy results for monotone circuits of Raz and McKenzie (1999) are extended to the case of monotone circuits of semi-unbounded fan-in. It follows that the inclusions $NC^i \subseteq SAC^i \subseteq AC^i$ are proper in the monotone setting, for every $i\geq 1$ .

AMS Subject: 68Q17, 68Q15

Key words: Monotone circuit -- semi-unbounded fan-in -- communication complexity -- lower bound.

© EDP Sciences 2001

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