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» Elusive Functions and Lower Bounds for Arithmetic Circuits
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FOCS
1991
IEEE
13 years 11 months ago
Communication Complexity Towards Lower Bounds on Circuit Depth
Karchmer, Raz, and Wigderson, 1991, discuss the circuit depth complexity of n bit Boolean functions constructed by composing up to d = logn=loglogn levels of k = logn bit boolean
Jeff Edmonds, Steven Rudich, Russell Impagliazzo, ...
FOCS
1991
IEEE
13 years 11 months ago
Lower Bounds for the Complexity of Reliable Boolean Circuits with Noisy Gates
We prove that the reliable computation of any Boolean function with sensitivity s requires Ω(s log s) gates if the gates of the circuit fail independently with a fixed positive...
Anna Gál
COCO
2010
Springer
139views Algorithms» more  COCO 2010»
13 years 11 months ago
On Matrix Rigidity and Locally Self-Correctable Codes
We describe a new approach for the problem of finding rigid matrices, as posed by Valiant [Val77], by connecting it to the, seemingly unrelated, problem of proving lower bounds f...
Zeev Dvir
COCO
2011
Springer
221views Algorithms» more  COCO 2011»
12 years 7 months ago
Non-uniform ACC Circuit Lower Bounds
The class ACC consists of circuit families with constant depth over unbounded fan-in AND, OR, NOT, and MODm gates, where m > 1 is an arbitrary constant. We prove: • NTIME[2n ...
Ryan Williams
CORR
2010
Springer
138views Education» more  CORR 2010»
13 years 7 months ago
Shallow Circuits with High-Powered Inputs
A polynomial identity testing algorithm must determine whether an input polynomial (given for instance by an arithmetic circuit) is identically equal to 0. In this paper, we show ...
Pascal Koiran