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Apr 5 at 7:28 comment added agemO The only correct understanding I see for this question is "Given a random string (produced by a random TM), how far is its Solomonoff TM probability from its Solomonoff DFA one?"
Apr 5 at 7:20 comment added agemO "I suppose we are not looking at finite observation data" but Solomonoff induction and Kolmogorov complexity are about finite observation data.
Jun 12, 2021 at 20:56 history edited Joel David Hamkins
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Aug 24, 2010 at 0:00 answer added Joel David Hamkins timeline score: 17
Aug 18, 2010 at 19:16 comment added Bjørn Kjos-Hanssen @Joel: I suppose we are not looking at finite observation data, but rather observing what has transpired at time $\omega$ (infinity). @Robin: It should be non-zero because there is at least one DFA.
Aug 18, 2010 at 14:55 vote accept Mikola
Aug 18, 2010 at 6:29 answer added Bjørn Kjos-Hanssen timeline score: 6
Aug 18, 2010 at 4:21 comment added Robin Kothari Do you know if the probability is non-zero?
Aug 18, 2010 at 0:09 comment added Joel David Hamkins Could you make the question more precise? Since any finite observation data is of course the language accepted by a DFA, I'm confused about what you are asking.
Aug 17, 2010 at 23:53 history asked Mikola CC BY-SA 2.5