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» Extensional Uniformity for Boolean Circuits
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CSL
2008
Springer
13 years 6 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»
13 years 2 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»
12 years 11 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»
13 years 8 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»
13 years 8 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