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Oct 6, 2018 at 21:20 vote accept Stella Biderman
Oct 6, 2018 at 18:00 comment added Andrej Bauer I meant that for every $k$ there exists an encoding. I supplemented my answer with a construction that works for all $k$'s at once.
Oct 6, 2018 at 18:00 history edited Andrej Bauer CC BY-SA 4.0
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Oct 6, 2018 at 15:44 comment added Stella Biderman @tomasz Cool, that’s what I had figured but the wording seemed to imply the latter to me for some reason.
Oct 6, 2018 at 14:48 comment added tomasz @StellaBiderman: For every $k$ there is an encoding.
Oct 6, 2018 at 12:58 comment added Stella Biderman Thank you for the further details! I’m a little confused by your third paragraph; the implicit order of quantifiers is throwing me. Do you mean that, for any $k$, there exists an encoding such that $d(x, H)=k$ is undecidable? Or that there exists an encoding such that, for any $k$, $d(x, H)$ is undecidable?
Oct 6, 2018 at 8:41 history answered Andrej Bauer CC BY-SA 4.0