no. 3
Depth lower bounds for monotone semi-unbounded fan-in circuits
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 35 (2001) no. 3, pp. 277-286

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 NC i ⊆SAC i ⊆AC i are proper in the monotone setting, for every i≥1.

Classification : 68Q17, 68Q15
Keywords: monotone circuit, semi-unbounded fan-in, communication complexity, lower bound 
@article{ITA_2001__35_3_277_0,
     author = {Johannsen, Jan},
     title = {Depth lower bounds for monotone semi-unbounded fan-in circuits},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {277--286},
     year = {2001},
     publisher = {EDP Sciences},
     volume = {35},
     number = {3},
     mrnumber = {1869218},
     zbl = {1052.68053},
     language = {en},
     url = {https://www.numdam.org/item/ITA_2001__35_3_277_0/}
}
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Johannsen, Jan. Depth lower bounds for monotone semi-unbounded fan-in circuits. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 35 (2001) no. 3, pp. 277-286. https://www.numdam.org/item/ITA_2001__35_3_277_0/

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