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» Partition Theorems and Computability Theory
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155
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ENTCS
2006
113views more  ENTCS 2006»
15 years 1 months ago
A Large-Scale Experiment in Executing Extracted Programs
It is a well-known fact that algorithms are often hidden inside mathematical proofs. If these proofs are formalized inside a proof assistant, then a mechanism called extraction ca...
Luís Cruz-Filipe, Pierre Letouzey
JCT
2010
113views more  JCT 2010»
15 years 10 days ago
Equations resolving a conjecture of Rado on partition regularity
A linear equation L is called k-regular if every k-coloring of the positive integers contains a monochromatic solution to L. Richard Rado conjectured that for every positive intege...
Boris Alexeev, Jacob Tsimerman
112
Voted
MKM
2007
Springer
15 years 8 months ago
Context Aware Calculation and Deduction
We address some aspects of a proposed system architecture for mathematical assistants, integrating calculations and deductions by common infrastructure within the Isabelle theorem ...
Amine Chaieb, Makarius Wenzel
89
Voted
STACS
2009
Springer
15 years 8 months ago
Randomness on Computable Probability Spaces - A Dynamical Point of View
We extend the notion of randomness (in the version introduced by Schnorr) to computable Probability Spaces and compare it to a dynamical notion of randomness: typicality. Roughly, ...
Péter Gács, Mathieu Hoyrup, Cristoba...
COMBINATORICA
2008
92views more  COMBINATORICA 2008»
15 years 2 months ago
A separation theorem in property testing
Consider the following seemingly rhetorical question: Is it crucial for a property-tester to know the error parameter in advance? Previous papers dealing with various testing prob...
Noga Alon, Asaf Shapira