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by srcreigh 163 days ago
As an aside, I wonder how to account for the information content embedded in the hardware itself.

A Turing Machine compressor program would likely have more bytes than the amd64 binary. So how to evaluate KolmogorovComplexity(amd64)?

The laws of physics somehow need to be accounted for too, probably.

2 comments

Kolmogorov Complexity is only defined up to a constant, which represents Turing machine translation length.
I guess we need to guesstimate the length of a shortest Turing machine implementation of amd64 then?
This is cool. No need to guesstimate, it could be a world record category.
The complexity of a simple turing machine is itty bitty, and you can bootstrap that into an x86 emulator in a matter of kilobytes, so when we're messing with 100MB files it's not a big factor.