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» A note on dimensions of polynomial size circuits
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CORR
2004
Springer
90views Education» more  CORR 2004»
13 years 4 months ago
A note on dimensions of polynomial size circuits
In this paper, we use resource-bounded dimension theory to investigate polynomial size circuits. We show that for every i 0, P/poly has ith-order scaled p3 -strong dimension 0. W...
Xiaoyang Gu
DAGSTUHL
2006
13 years 6 months ago
A note on the size of Craig Interpolants
Mundici considered the question of whether the interpolant of two propositional formulas of the form F G can always have a short circuit description, and showed that if this is t...
Uwe Schöning, Jacobo Torán
FSTTCS
2009
Springer
13 years 11 months ago
The Power of Depth 2 Circuits over Algebras
We study the problem of polynomial identity testing (PIT) for depth 2 arithmetic circuits over matrix algebra. We show that identity testing of depth 3 (ΣΠΣ) arithmetic circuit...
Chandan Saha, Ramprasad Saptharishi, Nitin Saxena
ISTCS
1993
Springer
13 years 9 months ago
Analog Computation Via Neural Networks
We pursue a particular approach to analog computation, based on dynamical systems of the type used in neural networks research. Our systems have a xed structure, invariant in time...
Hava T. Siegelmann, Eduardo D. Sontag
ICCAD
2008
IEEE
170views Hardware» more  ICCAD 2008»
14 years 1 months ago
A polynomial time approximation scheme for timing constrained minimum cost layer assignment
Abstract— As VLSI technology enters the nanoscale regime, interconnect delay becomes the bottleneck of circuit performance. Compared to gate delays, wires are becoming increasing...
Shiyan Hu, Zhuo Li, Charles J. Alpert