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» A simple proof of Bazzi's theorem
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109
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TPHOL
2007
IEEE
15 years 6 months ago
Finding Lexicographic Orders for Termination Proofs in Isabelle/HOL
We present a simple method to formally prove termination of recursive functions by searching for lexicographic combinations of size measures. Despite its simplicity, the method tur...
Lukas Bulwahn, Alexander Krauss, Tobias Nipkow
104
Voted
CORR
1999
Springer
138views Education» more  CORR 1999»
14 years 12 months ago
A simple proof of the unconditional security of quantum key distribution
Quantum key distribution is the best known application of quantum cryptography. Previously proposed proofs of security of quantum key distribution contain various technical subtle...
Hoi-Kwong Lo
125
Voted
TPHOL
1999
IEEE
15 years 4 months ago
Three Tactic Theorem Proving
Abstract. We describe the key features of the proof description language of Declare, an experimental theorem prover for higher order logic. We take a somewhat radical approach to p...
Don Syme
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
15 years 5 days 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