Affiliation:
1. Indian Institute of Technology, Bombay, India
Abstract
We show that there is a sequence of explicit multilinear polynomials
P
n
(x
1
, … ,x
n
) ϵ R [x
1
, … ,x
n
] with non-negative coefficients that lies in monotone VNP such that any monotone algebraic circuit for
P
n
must have size exp (Ω (
n
)) This builds on (and strengthens) a result of Yehudayoff (STOC 2019) who showed a lower bound of exp (Ω(√n)).
Publisher
Association for Computing Machinery (ACM)
Subject
Computational Theory and Mathematics,Theoretical Computer Science
Cited by
3 articles.
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