Slightly improved lower bounds for homogeneous formulas of bounded depth and bounded individual degree

•A finer product decomposition for Homogeneous Formulas of small depth.•A finer product decomposition for small-depth homogeneous multi-r-ic formulas.•We give superpolynomial lower bounds for homogeneous multi-r-ic formulas of small-depth.•For all Δ∈[ω(1),o(log⁡nlog⁡r)] our lower bound is asymptotic...

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Vydané v:	Information processing letters Ročník 156; s. 105900
Hlavný autor:	Chillara, Suryajith
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier B.V 01.04.2020
Predmet:	Algebraic complexity theory Computational complexity Lower bounds Theory of computation Theory of computation Algebraic complexity theory Lower bounds Computational complexity
ISSN:	0020-0190, 1872-6119
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