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APPROX
2010
Springer
213views Algorithms» more  APPROX 2010»
15 years 1 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 11 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 11 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 3 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 11 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