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(Almost) Lowness for K and finite self-information

Presented by: 
I Herbert University of California, Berkeley
Date: 
Tuesday 3rd July 2012 - 15:00 to 15:30
Venue: 
INI Seminar Room 1
Abstract: 
A real $X$, is called low for K if there is a constant $c$ such that using $X$ as an oracle does not decrease the Kolmogorov complexity of any string by more than $c$. That is, the inequality $K(\sigma) \leq K^{X}(\sigma) +c$ holds for all $\sigma \in 2^{
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons