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2021-03-08 14:55:40 <dolio> Domain theory is the most fleshed out stuff I know of that studies more detailed accounts of what is going on here, though.
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2021-03-08 14:58:44 <dolio> And I'm not sure they use 'total' and 'partial', since things can generally be a lot more complicated than e.g. 'sets and total/partial functions' in that setting.
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2021-03-08 14:59:10 <dolio> The set setting is only really adequate for very simple, flat domains.
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2021-03-08 15:18:01 <d34df00d> siraben: https://github.com/bos/vector-binary-instances/blob/master/Data/Vector/Binary.hs#L91-L99 — that's re unsafePerformIO.
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2021-03-08 15:43:57 <Gurkenglas> Shouldn't https://www.cs.ox.ac.uk/jeremy.gibbons/publications/fast+loose.pdf -> (69) use Nu rather than Mu?
2021-03-08 15:44:31 <dolio> Depends.
2021-03-08 15:45:05 <dolio> Oh, you're talking about a specific equation.
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2021-03-08 15:45:59 <dolio> ν does seem more appropriate for that.
2021-03-08 15:47:00 <dolio> Oh, but they say why just after.
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2021-03-08 15:58:05 <Gurkenglas> i think i see... but if they were gonna cheat like that, shouldnt they have more explicitly said "since we are now reasoning partially, μ = ν" and used their own unfold?
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2021-03-08 16:01:30 <dolio> Well, they're not equal. Just isomorphic.
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2021-03-08 16:11:23 <Gurkenglas> ah they say in 10.3 that 10.2 could "go for coinductive instead of inductive lists, and replace the approximation lemma with the take lemma"
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