A note on dimensions of polynomial size circuits

dc.creatorGu, Xiaoyang
dc.date2004-04-22
dc.date2004-04-22
dc.date.accessioned2026-07-07T09:23:49Z
dc.date.available2026-07-07T09:23:49Z
dc.descriptionIn this paper, we use resource-bounded dimension theory to investigate polynomial size circuits. We show that for every $i\geq 0$, $\Ppoly$ has $i$th order scaled $\pthree$-strong dimension 0. We also show that $\Ppoly^\io$ has $\pthree$-dimension 1/2, $\pthree$-strong dimension 1. Our results improve previous measure results of Lutz (1992) and dimension results of Hitchcock and Vinodchandran (2004).
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/cs/0404044
dc.identifierhttp://arxiv.org/abs/cs/0404044
dc.identifierdoi:10.1016/j.tcs.2006.02.022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155872
dc.subjectComputational Complexity
dc.subjectF.1.3
dc.titleA note on dimensions of polynomial size circuits
dc.typetext

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