annotate paste/paste.12027 @ 6941:261be2d51dea

<oerjan> learn Postorder is the same as Polish notation, since Post was Polish. Not to be confused with reverse Polish notation, which puts operations last.
author HackBot
date Wed, 24 Feb 2016 05:00:46 +0000
parents 8f79561a34c2
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8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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1 2013-01-27.txt:09:43:46: <shachaf> monqy: imo the Await part is like (r,CoYoneda k r)
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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2 2013-01-27.txt:09:44:24: <shachaf> monqy: btw are you a CoYoneda expert
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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3 2013-01-27.txt:09:45:12: <shachaf> monqy: well you know how CoYoneda IORef = a read-only IORef
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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4 2013-01-27.txt:09:47:24: <shachaf> CoYoneda f a = forall r. CoYoneda (r -> a) (f r)
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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5 2013-01-27.txt:09:49:50: <shachaf> monqy: anyway when f is a functor CoYoneda f is isomorphic to f??
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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6 2013-01-27.txt:09:50:51: <shachaf> maybe THIS CoYoneda will be more to your liking!!!!!!!!!! http://ncatlab.org/nlab/show/co-Yoneda+lemma
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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7 2013-01-28.txt:05:37:44: <shachaf> kmc: By the way, you know ho CoYoneda IORef gives you a "read-only IORef" that can't do any other effects?
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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8 2013-02-07.txt:08:55:26: <shachaf> monqy: should i prefer yoneda or coyoneda
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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9 2013-02-07.txt:09:06:02: <monqy> shachaf: idk i havent studied them much at all?? my only real "experience" with them is that one time you asked me about how yoneda looks like partially applied >>= and coyoneda like =>>, or something like that
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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10 2013-02-07.txt:09:09:06: <shachaf> but coyoneda seems "more obvious to me"
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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11 2013-02-07.txt:09:09:33: <shachaf> also coyoneda can be meaningful for things that arne't functors
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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12 2013-02-07.txt:09:13:21: <shachaf> ion: do you know what coyoneda is
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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13 2013-02-07.txt:09:16:06: <shachaf> "CoYoneda Tree" keeps a tree, and a function to be mapped over it.
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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14 2013-02-07.txt:09:17:52: <shachaf> So CoYoneda Tree a = (Tree x, x -> a), for some x.
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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15 2013-04-02.txt:23:20:43: <shachaf> CoYoneda is easy.
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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16 2013-04-02.txt:23:21:41: <shachaf> CoYoneda is related to Functor.
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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17 2013-04-02.txt:23:35:10: <shachaf> Bike: As you probably guessed, Foo is CoYoneda.
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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18 2013-04-02.txt:23:37:57: <shachaf> You can treat (CoYoneda IORef) as a read-only IORef, sort of.
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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19 2013-04-02.txt:23:38:23: <shachaf> Bike: However: When f is a Functor, CoYoneda f is isomorphic to f
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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20 2013-04-02.txt:23:40:54: <shachaf> Bike: btw Yoneda is like CoYoneda except backwards
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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21 2013-04-02.txt:23:41:17: <shachaf> I think CoYoneda is more intuitive than Yoneda
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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22 2013-04-02.txt:23:57:19: <shachaf> oerjan: What do you think: Yoneda or CoYoneda?
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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23 2013-04-02.txt:23:59:13: <shachaf> oerjan: data CoYoneda f a = forall x. CoYoneda (f x) (x -> a)
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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24 2013-04-02.txt:23:59:38: <shachaf> when f is a functor it's isomorphic to Yoneda f and to CoYoneda f
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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25 2013-04-03.txt:00:00:01: <shachaf> btw Bike did you write lift and lower for CoYoneda
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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26 2013-04-03.txt:00:07:28: <shachaf> Where CoYoneda has the *arguments* to fmap, Yoneda has the *result* of fmap.
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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27 2013-04-03.txt:00:09:51: <shachaf> I guess you could say: fmap :: CoYoneda f a -> f a
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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28 2013-04-03.txt:09:08:43: <shachaf> ais523: Do you prefer one of Yoneda/CoYoneda?
8f79561a34c2 <nooodl> pastelogs shachaf.*coyoneda
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29 2013-04-03.txt:09:09:23: <shachaf> data CoYoneda f a = forall x. CoYoneda (f x) (x -> a)