On Ultrametric Algorithmic Information
Artificial Intelligence
2011-06-14 v2 Computation and Language
Abstract
How best to quantify the information of an object, whether natural or artifact, is a problem of wide interest. A related problem is the computability of an object. We present practical examples of a new way to address this problem. By giving an appropriate representation to our objects, based on a hierarchical coding of information, we exemplify how it is remarkably easy to compute complex objects. Our algorithmic complexity is related to the length of the class of objects, rather than to the length of the object.
Cite
@article{arxiv.0709.0116,
title = {On Ultrametric Algorithmic Information},
author = {Fionn Murtagh},
journal= {arXiv preprint arXiv:0709.0116},
year = {2011}
}
Comments
Forthcoming, Computer Journal. Minor corrections 29 Oct. 2007