AbstractSchnorr[1] proved a lower bound on the number of additions in monotone computations of rational polynomials. He conjectured a similar lower bound on the number of ∨-gates in monotone networks computing monotone Boolean functions. We disprove this conjecture
In this paper, we consider the size of combinational switching networks required to synthesize monot...
Abstract—An approximate computation of a Boolean func-tion by a circuit or switching network is a co...
In his paper “On a Boolean matrix”, Nechiporuk gave an explicit example of a set of n homogeneous mo...
AbstractSchnorr[1] proved a lower bound on the number of additions in monotone computations of ratio...
AbstractA computation of rational polynomials that only uses variables, positive rational numbers an...
AbstractWe prove an Ω(n43) lower bound on the number of Λ-gates in any monotone network computing th...
Our main result is a combinatorial lower bounds criterion for a general model of monotone circuits, ...
We study the realization of monotone Boolean functions by networks. Our main result is a precise ver...
A {+,×}-circuit counts a given multivariate polynomial f, if its values on 0-1 inputs are the same a...
In 1990, following up on the (now renowned) work of Karchmer and Wigderson connecting communication ...
Razborov introduced an elegant rank-based complexity measure for proving lower bounds on the monoton...
AbstractA sequence of monotone switching functions hn:{0,1}n→ {0,1}n is constructed, such that the m...
In this paper, we investigate the lower bound on the number of gates in a Boolean circuit that comp...
We show that every monotone formula that computes the threshold function THk, n, 2≤ , k≤n/2, has siz...
AbstractWe consider monotone arithmetic circuits with restricted depths to compute monotone multivar...
In this paper, we consider the size of combinational switching networks required to synthesize monot...
Abstract—An approximate computation of a Boolean func-tion by a circuit or switching network is a co...
In his paper “On a Boolean matrix”, Nechiporuk gave an explicit example of a set of n homogeneous mo...
AbstractSchnorr[1] proved a lower bound on the number of additions in monotone computations of ratio...
AbstractA computation of rational polynomials that only uses variables, positive rational numbers an...
AbstractWe prove an Ω(n43) lower bound on the number of Λ-gates in any monotone network computing th...
Our main result is a combinatorial lower bounds criterion for a general model of monotone circuits, ...
We study the realization of monotone Boolean functions by networks. Our main result is a precise ver...
A {+,×}-circuit counts a given multivariate polynomial f, if its values on 0-1 inputs are the same a...
In 1990, following up on the (now renowned) work of Karchmer and Wigderson connecting communication ...
Razborov introduced an elegant rank-based complexity measure for proving lower bounds on the monoton...
AbstractA sequence of monotone switching functions hn:{0,1}n→ {0,1}n is constructed, such that the m...
In this paper, we investigate the lower bound on the number of gates in a Boolean circuit that comp...
We show that every monotone formula that computes the threshold function THk, n, 2≤ , k≤n/2, has siz...
AbstractWe consider monotone arithmetic circuits with restricted depths to compute monotone multivar...
In this paper, we consider the size of combinational switching networks required to synthesize monot...
Abstract—An approximate computation of a Boolean func-tion by a circuit or switching network is a co...
In his paper “On a Boolean matrix”, Nechiporuk gave an explicit example of a set of n homogeneous mo...
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