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How incomputable is Kolmogorov complexity?
February 18, 2020 Β· Declared Dead Β· π Entropy
"No code URL or promise found in abstract"
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Authors
Paul Vitanyi
arXiv ID
2002.07674
Category
cs.IT: Information Theory
Cross-listed
cs.CC
Citations
38
Venue
Entropy
Last Checked
6 months ago
Abstract
Kolmogorov complexity is the length of the ultimately compressed version of a file (that is, anything which can be put in a computer). Formally, it is the length of a shortest program from which the file can be reconstructed. We discuss the incomputabilty of Kolmogorov complexity, which formal loopholes this leaves us, recent approaches to compute or approximate Kolmogorov complexity, which approaches are problematic and which approaches are viable.
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