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» Extensional Uniformity for Boolean Circuits
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CSL
2008
Springer
14 years 11 months ago
Extensional Uniformity for Boolean Circuits
Abstract. Imposing an extensional uniformity condition on a non-uniform circuit complexity class C means simply intersecting C with a uniform class L. By contrast, the usual intens...
Pierre McKenzie, Michael Thomas, Heribert Vollmer
SIAMCOMP
2010
147views more  SIAMCOMP 2010»
14 years 8 months ago
Uniform Direct Product Theorems: Simplified, Optimized, and Derandomized
The classical direct product theorem for circuits says that if a Boolean function f : {0, 1}n → {0, 1} is somewhat hard to compute on average by small circuits, then the correspo...
Russell Impagliazzo, Ragesh Jaiswal, Valentine Kab...
NC
2011
201views Neural Networks» more  NC 2011»
14 years 4 months ago
The computational power of membrane systems under tight uniformity conditions
We apply techniques from complexity theory to a model of biological cellular membranes known as membrane systems or P-systems. Like Boolean circuits, membrane systems are defined ...
Niall Murphy, Damien Woods
STOC
1996
ACM
97views Algorithms» more  STOC 1996»
15 years 2 months ago
Deterministic Restrictions in Circuit Complexity
We study the complexity of computing Boolean functions using AND, OR and NOT gates. We show that a circuit of depth d with S gates can be made to output a constant by setting O(S1...
Shiva Chaudhuri, Jaikumar Radhakrishnan
STOC
1989
ACM
96views Algorithms» more  STOC 1989»
15 years 1 months ago
Optimal Size Integer Division Circuits
Division is a fundamental problem for arithmetic and algebraic computation. This paper describes Boolean circuits of bounded fan-in for integer division  nding reciprocals that...
John H. Reif, Stephen R. Tate