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2021-06-16 17:58:52 <dolio> Ariakenom: Maybe he came up with Turing machines first and then tried to show how you could mechanize lambda calculus with them. The papers I was able to find were published in the opposite order of that, though. But I'm not a historian, and it's hard to find papers that old.
2021-06-16 18:00:20 <Zemyla> @let newtype Sorted a = Sorted { runSorted :: (a -> a -> Ordering) -> [a] }
2021-06-16 18:00:21 <lambdabot> Defined.
2021-06-16 18:00:41 <Ariakenom> some forms of LC seems to have existed for a decade or so before so your story makes sense
2021-06-16 18:00:54 × micro quits (~micro@user/micro) (Ping timeout: 264 seconds)
2021-06-16 18:01:04 <dminuoso> What I find quite interesting, is how Turing, Gödel, Post, Church and Curry came up with equivalent computational in a very short time period.
2021-06-16 18:01:06 <dolio> Yeah, LC goes back at least to 32, I think. But it wasn't really for computation at that point.
2021-06-16 18:01:22 <dminuoso> (Or rather with models, that later turned out to be computational models that were equivalent in power=
2021-06-16 18:01:23 micro joins (~micro@user/micro)
2021-06-16 18:02:22 <Zemyla> @let mergeWith cmp = let { go [] bs = bs, go as [] = as, go as@(a:as') bs@(b:bs') = if cmp a b == GT then b:go as bs' else a:go as' bs } in go
2021-06-16 18:02:23 <lambdabot> Parse failed: Parse error: ,
2021-06-16 18:02:35 <tomsmeding> Zemyla: ; not ,
2021-06-16 18:02:47 dhil joins (~dhil@195.213.192.47)
2021-06-16 18:02:55 <dolio> I think that is probably not that miraculous, either. They were probably communicating, even if by proxies.
2021-06-16 18:03:06 <Ariakenom> "The λ-calculus was invented in about 1928 by Alonzo Church, and was firstpublished in[Church, 1932]."
2021-06-16 18:04:10 <dolio> So there were probably informal ideas that they all were aware of, but came up with their own particulars.
2021-06-16 18:04:38 <Zemyla> @let mergeWith cmp = let { go [] bs = bs; go as [] = as; go as@(a:as') bs@(b:bs') = if cmp a b == GT then b:go as bs' else a:go as' bs } in go
2021-06-16 18:04:39 <lambdabot> Defined.
2021-06-16 18:05:02 ddellacosta joins (~ddellacos@86.106.121.100)
2021-06-16 18:06:09 <Zemyla> @let instance Functor Sorted where { fmap f (Sorted m) = Sorted (\cmp -> f <$> m (\a b -> cmp (f a) (f b)); a <$ Sorted m = Sorted (\_ -> a <$ m (\_ _ -> EQ)) }
2021-06-16 18:06:09 <lambdabot> Parse failed: Parse error: ;
2021-06-16 18:06:21 <Zemyla> @let instance Functor Sorted where { fmap f (Sorted m) = Sorted (\cmp -> f <$> m (\a b -> cmp (f a) (f b))); a <$ Sorted m = Sorted (\_ -> a <$ m (\_ _ -> EQ)) }
2021-06-16 18:06:22 <lambdabot> .L.hs:171:17: error:
2021-06-16 18:06:22 <lambdabot> Ambiguous occurrence ‘Sorted’
2021-06-16 18:06:22 <lambdabot> It could refer to
2021-06-16 18:06:30 <Zemyla> @undef
2021-06-16 18:06:31 <lambdabot> Undefined.
2021-06-16 18:06:36 <dminuoso> tomsmeding: But yeah, these are quite simple. Arrow I never really understood, perhaps that's just because I never used any arrow libraries - I hear this used to be a thing for some frp libraries.
2021-06-16 18:07:02 <Zemyla> @let newtype Sorting a = Sorting { runSorting :: (a -> a -> Ordering) -> [a] }
2021-06-16 18:07:03 <lambdabot> Defined.
2021-06-16 18:07:06 <dminuoso> Other than hxt Im not even aware of any library that exposes its users to arrows.
2021-06-16 18:07:12 <Zemyla> @let mergeWith cmp = let { go [] bs = bs; go as [] = as; go as@(a:as') bs@(b:bs') = if cmp a b == GT then b:go as bs' else a:go as' bs } in go
2021-06-16 18:07:14 <lambdabot> Defined.
2021-06-16 18:07:47 <Zemyla> @let instance Functor Sorting where { fmap f (Sorting m) = Sorting (\cmp -> f <$> m (\a b -> cmp (f a) (f b))); a <$ Sorting m = Sorting (\_ -> a <$ m (\_ _ -> EQ)) }
2021-06-16 18:07:48 <lambdabot> Defined.
2021-06-16 18:09:23 × edun quits (~edun@user/edun) (Ping timeout: 268 seconds)
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2021-06-16 18:10:57 <Ariakenom> dolio: did you have links to the LC machine paper and TM paper?
2021-06-16 18:11:22 <dolio> No, I looked briefly, but I'm not sure which wikipedia article they were cited on.
2021-06-16 18:11:34 <dolio> It's entirely possible the citations were changed, too.
2021-06-16 18:13:59 __monty__ joins (~toonn@user/toonn)
2021-06-16 18:15:04 <dolio> I seem to recall it was after Church's paper on an undecidable problem in number theory, though, so it'd put it around 36 at the earliest.
2021-06-16 18:16:44 tromp joins (~textual@dhcp-077-249-230-040.chello.nl)
2021-06-16 18:21:07 × azeem quits (~azeem@dynamic-adsl-78-13-238-239.clienti.tiscali.it) (Read error: Connection reset by peer)
2021-06-16 18:21:38 × danso quits (~danso@23-233-111-52.cpe.pppoe.ca) (Quit: WeeChat 3.1)
2021-06-16 18:22:01 <Zemyla> @let fromSorting (Sorting m) = m compare
2021-06-16 18:22:03 <lambdabot> Defined.
2021-06-16 18:22:27 <Zemyla> @let toSorting a = Sorting (const a)
2021-06-16 18:22:28 <lambdabot> Defined.
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2021-06-16 18:23:32 <Ariakenom> dolio: the TM paper was released 36 tho. I thought you said the order was the opposite
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2021-06-16 18:24:20 <Zemyla> > fromSorting $ mconcat $ fmap toSorting [5, 1, 4, 2, 3]
2021-06-16 18:24:22 <lambdabot> error:
2021-06-16 18:24:22 <lambdabot> • No instance for (Num [()]) arising from a use of ‘e_151423’
2021-06-16 18:24:22 <lambdabot> • In the expression: e_151423
2021-06-16 18:24:30 <Zemyla> :t toSorting
2021-06-16 18:24:32 <lambdabot> [a] -> Sorting a
2021-06-16 18:24:38 slowButPresent joins (~slowButPr@user/slowbutpresent)
2021-06-16 18:24:40 <dolio> Ariakenom: Maybe the TM paper I found was not the earliest TM paper.
2021-06-16 18:24:51 <Zemyla> @let toSorting' a = Sorting (const [a])
2021-06-16 18:24:52 <dolio> Or was a republish or something.
2021-06-16 18:24:52 <lambdabot> Defined.
2021-06-16 18:25:02 <Zemyla> > fromSorting $ mconcat $ fmap toSorting' [5, 1, 4, 2, 3]
2021-06-16 18:25:04 <lambdabot> [1,2,3,4,5]
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2021-06-16 18:32:13 <Zemyla> Is there a reason why tail is partial? Couldn't tail [] = []?
2021-06-16 18:32:41 <Clint> Zemyla: what would its type be then?
2021-06-16 18:32:59 <Clint> nevermind, i misread
2021-06-16 18:33:17 <Zemyla> @let tail' [] = []; tail' (_:as) = as
2021-06-16 18:33:19 <lambdabot> Defined.
2021-06-16 18:33:21 <Zemyla> :t tail'
2021-06-16 18:33:22 <lambdabot> [a] -> [a]
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2021-06-16 18:36:43 <dolio> Ariakenom: The TM part wasn't my main point anyway. That the history of lambda calculus makes Curry-Howard very unsurprising was the main point.
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2021-06-16 18:40:29 <crazazy> so i was wondering: is this considered bad practice? https://ttm.sh/FU4.png
2021-06-16 18:41:06 <tomsmeding> Zemyla: I guess the same reason that the 'rm' command-line tool throws an error when you try to remove a non-existent file except silently exiting
2021-06-16 18:41:31 × tromp quits (~textual@dhcp-077-249-230-040.chello.nl) (Quit: My iMac has gone to sleep. ZZZzzz…)
2021-06-16 18:41:59 <tomsmeding> and you can always use 'drop 1' instead

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