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APPROX
2010
Springer
213views Algorithms» more  APPROX 2010»
14 years 11 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
TCS
2008
14 years 9 months ago
Polyhedra genus theorem and Euler formula: A hypermap-formalized intuitionistic proof
This article presents formalized intuitionistic proofs for the polyhedra genus theorem, the Euler formula and a sufficient condition of planarity. They are based on a hypermap mod...
Jean-François Dufourd
IPL
2006
92views more  IPL 2006»
14 years 9 months ago
A constructive approach to sequential Nash equilibria
We present a Coq-formalised proof that all non-cooperative, sequential games have a Nash equilibrium point. Our proof methodology follows the style advocated by LCFstyle theorem p...
René Vestergaard
SAT
2010
Springer
125views Hardware» more  SAT 2010»
15 years 1 months ago
Two Techniques for Minimizing Resolution Proofs
Some SAT-solvers are equipped with the ability to produce resolution proofs for problems which are unsatisfiable. Such proofs are used in a variety of contexts, including finding...
Scott Cotton
MP
2007
91views more  MP 2007»
14 years 9 months ago
Set Intersection Theorems and Existence of Optimal Solutions
The question of nonemptiness of the intersection of a nested sequence of closed sets is fundamental in a number of important optimization topics, including the existence of optima...
Dimitri P. Bertsekas, Paul Tseng