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Preprints, Working Papers, ... Year : 2020

Information Distance Revisited

Abstract

We consider the notion of information distance between two objects x and y introduced by Bennett, G\'acs, Li, Vitanyi, and Zurek [1] as the minimal length of a program that computes x from y as well as computing y from x, and study different versions of this notion. It was claimed by Mahmud [11] that the prefix version of information distance equals max(K(x|y), K(y|) + O(1) (this equality with logarithmic precision was one of the main results of the paper by Bennett, G\'acs, Li, Vitanyi, and Zurek). We show that this claim is false.
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Dates and versions

lirmm-01982345 , version 1 (17-01-2020)

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Bruno Bauwens, Alexander Shen. Information Distance Revisited. 2020. ⟨lirmm-01982345⟩
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