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

Published online by Cambridge University Press:  15 April 2002

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

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.

Keywords

Monotone circuitsemi-unbounded fan-incommunication complexitylower bound.

Information

Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 35 , Issue 3 , May 2001 , pp. 277 - 286
Copyright
© EDP Sciences, 2001

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References

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