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» Elusive Functions and Lower Bounds for Arithmetic Circuits
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ISLPED
1996
ACM
110views Hardware» more  ISLPED 1996»
15 years 2 months ago
Statistical estimation of average power dissipation in CMOS VLSI circuits using nonparametric techniques
In this paper, we present a new statistical technique for estimation of average power dissipation in digital circuits. Present statistical techniques estimate the average power ba...
Li-Pen Yuan, Chin-Chi Teng, Sung-Mo Kang
STOC
2009
ACM
167views Algorithms» more  STOC 2009»
15 years 10 months ago
On the complexity of communication complexity
We consider the following question: given a two-argument boolean function f, represented as an N ? N binary matrix, how hard is to determine the (deterministic) communication comp...
Eyal Kushilevitz, Enav Weinreb
LATIN
2004
Springer
15 years 3 months ago
Approximating the Expressive Power of Logics in Finite Models
Abstract. We present a probability logic (essentially a first order language extended with quantifiers that count the fraction of elements in a model that satisfy a first order ...
Argimiro Arratia, Carlos E. Ortiz
DM
2010
77views more  DM 2010»
14 years 10 months ago
Representing (0, 1)-matrices by boolean circuits
A boolean circuit represents an n by n (0,1)-matrix A if it correctly computes the linear transformation y = Ax over GF(2) on all n unit vectors. If we only allow linear boolean f...
Stasys Jukna
ECCC
2008
168views more  ECCC 2008»
14 years 10 months ago
Algebrization: A New Barrier in Complexity Theory
Any proof of P = NP will have to overcome two barriers: relativization and natural proofs. Yet over the last decade, we have seen circuit lower bounds (for example, that PP does n...
Scott Aaronson, Avi Wigderson