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» Forcing with Random Variables and Proof Complexity
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CIE
2006
Springer
13 years 8 months ago
Forcing with Random Variables and Proof Complexity
or representation theory of groups), and even borrows abstract geometrical concepts like Euler characteristic or Grothendieck ring. However, the most stimulating for proof complexi...
Jan Krajícek
APPROX
2010
Springer
213views Algorithms» more  APPROX 2010»
13 years 6 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
JCST
2010
189views more  JCST 2010»
12 years 11 months ago
Formally Analyzing Expected Time Complexity of Algorithms Using Theorem Proving
Probabilistic techniques are widely used in the analysis of algorithms to estimate the computational complexity of algorithms or a computational problem. Traditionally, such analys...
Osman Hasan, Sofiène Tahar
POPL
2003
ACM
14 years 4 months ago
Discovering affine equalities using random interpretation
We present a new polynomial-time randomized algorithm for discovering affine equalities involving variables in a program. The key idea of the algorithm is to execute a code fragme...
Sumit Gulwani, George C. Necula
SIAMCOMP
2002
112views more  SIAMCOMP 2002»
13 years 4 months ago
The Efficiency of Resolution and Davis--Putnam Procedures
We consider several problems related to the use of resolution-based methods for determining whether a given boolean formula in conjunctive normal form is satisfiable. First, build...
Paul Beame, Richard M. Karp, Toniann Pitassi, Mich...