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CSL
2004
Springer
14 years 1 months ago
A Third-Order Bounded Arithmetic Theory for PSPACE
We present a novel third-order theory W1 1 of bounded arithmetic suitable for reasoning about PSPACE functions. This theory has the advantages of avoiding the smash function symbol...
Alan Skelley
ARSCOM
2002
69views more  ARSCOM 2002»
13 years 7 months ago
On Deuber's partition theorem for (m, p, c)-sets
In 1973, Deuber published his famous proof of Rado's conjecture regarding partition regular sets. In his proof, he invented structures called (m, p, c)-sets and gave a partit...
David S. Gunderson
APPROX
2010
Springer
213views Algorithms» more  APPROX 2010»
13 years 9 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
CORR
2007
Springer
128views Education» more  CORR 2007»
13 years 7 months ago
Verified Real Number Calculations: A Library for Interval Arithmetic
—Real number calculations on elementary functions are remarkably difficult to handle in mechanical proofs. In this paper, we show how these calculations can be performed within a...
Marc Daumas, David Lester, César Muñ...
SAC
2006
ACM
13 years 7 months ago
Assisted verification of elementary functions using Gappa
The implementation of a correctly rounded or interval elementary function needs to be proven carefully in the very last details. The proof requires a tight bound on the overall er...
Florent de Dinechin, Christoph Quirin Lauter, Guil...