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by mherrmann 3554 days ago
When two strings have the same Kolmogorov Complexity, one of them might take significantly longer to "decompress". Shouldn't we then say that this string has higher information content?

It feels to me like Kolmogorov Complexity (while very elegant) might just be a crude approximation to a measure that also takes into account the time it takes to print the string.

2 comments

See "Logical Depth" as defined by Charles Bennett: http://researcher.ibm.com/researcher/files/us-bennetc/UTMX.p... as well as Chapter 7, "Resource-Bounded Complexity", from "An introduction to Kolmogorov complexity and its applications".
I'll take a look. Thanks!
It might be interesting for you to contemplate Schmidthuber's "speed prior".

http://people.idsia.ch/~juergen/speedprior.html