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Timeline for Subcountability

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S Apr 15 at 9:23 history suggested C7X CC BY-SA 4.0
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Dec 15, 2021 at 19:12 vote accept ToucanIan
Dec 15, 2021 at 18:42 comment added Ulrik Buchholtz You picked about the most complicated case possible, because we need subset collection (or strong collection + fullness). In any case, looking at Rathjen's proof, you obtain the description by combining Aczel's sets-as-trees interpretation of CZF into a version of Martin-Löf type theory with one inductive type of trees, together with a recursive realizability interpretation. (The Cauchy reals also form a set and would be easier to represent directly via codes for recursive functions.)
Dec 15, 2021 at 17:09 comment added ToucanIan How are real numbers, for example, represented as codes? I guess it’s necessary to specify the Dedekind reals since in CZF they form a set.
Dec 14, 2021 at 18:28 history answered Ulrik Buchholtz CC BY-SA 4.0