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» A Direct Product Theorem for Discrepancy
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EJC
1998
13 years 5 months ago
The Intersection Theorem for Direct Products
Rudolf Ahlswede, Harout K. Aydinian, Levon H. Khac...
DCFS
2011
66views more  DCFS 2011»
12 years 5 months ago
Kleene Theorems for Product Systems
We prove Kleene theorems for two subclasses of labelled product systems which are inspired from well-studied subclasses of 1bounded Petri nets. For product T-systems we define a c...
Kamal Lodaya, Madhavan Mukund, Ramchandra Phawade
APPROX
2010
Springer
213views Algorithms» more  APPROX 2010»
13 years 7 months ago
Constructive Proofs of Concentration Bounds
We give a simple combinatorial proof of the Chernoff-Hoeffding concentration bound [Che52, Hoe63], which says that the sum of independent {0, 1}-valued random variables is highly ...
Russell Impagliazzo, Valentine Kabanets
MFPS
1991
13 years 9 months ago
Decomposition of Domains
The problem of decomposing domains into sensible factors is addressed and solved for the case of dI-domains. A decomposition theorem is proved which allows the represention of a l...
Achim Jung, Leonid Libkin, Hermann Puhlmann
CC
2008
Springer
133views System Software» more  CC 2008»
13 years 5 months ago
Hardness Amplification via Space-Efficient Direct Products
We prove a version of the derandomized Direct Product lemma for deterministic space-bounded algorithms. Suppose a Boolean function g : {0, 1}n {0, 1} cannot be computed on more th...
Venkatesan Guruswami, Valentine Kabanets