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Nonerasing, Counting, and Majority over the Linear Time Hierarchy

โœ Scribed by Arnaud Durand; Malika More


Book ID
112252668
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
123 KB
Volume
174
Category
Article
ISSN
0890-5401

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## Abstract We show that the bounded arithmetic theory V^0^ does not prove that the polynomial time hierarchy collapses to the linear time hierarchy (without parameters). The result follows from a lower bound for bounded depth circuits computing prefix parity, where the circuits are allowed some au