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Timeline for Relative Kolmogorov complexity

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Jun 19, 2022 at 12:48 answer added Ville Salo timeline score: 1
Jun 18, 2022 at 6:56 comment added Emil Jeřábek @VilleSalo Perhaps you could make this an answer?
Jun 18, 2022 at 5:04 history bumped CommunityBot This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.
Feb 18, 2022 at 4:09 history bumped CommunityBot This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.
Oct 21, 2021 at 3:11 history bumped CommunityBot This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.
Sep 21, 2021 at 3:09 answer added Artemy timeline score: 1
Sep 2, 2021 at 11:03 comment added Ville Salo Of course the result does not directly follow from that formula, $m, n$ could be long but have very low complexity. In any case suggest looking at the proof of SoI to see if it is helpful, if you did not do that already. E.g. people.cs.uchicago.edu/~fortnow/papers/kaikoura.pdf seems pretty understandable.
Sep 2, 2021 at 10:20 comment added Ville Salo By symmetry of information, $K(\langle m,n \rangle) = K(n) + K_n(m) + \Theta(\log(\max(|m|,|n|)))$ (where $|m|$ is the length of the binary representation of $m$). I feel like that means the answer is no.
Sep 2, 2021 at 9:55 history edited Zanzi CC BY-SA 4.0
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S Sep 2, 2021 at 4:22 review First questions
Sep 2, 2021 at 5:29
S Sep 2, 2021 at 4:22 history asked Zanzi CC BY-SA 4.0