Concrete syntax for open type kind?
Conal Elliott
conal at conal.net
Mon Apr 21 17:53:05 UTC 2014
Thanks, Simon. I wouldn’t say that I’m really really stuck yet, and I’d
rather no one wasted time on a dead-end workaround. I like the plan you
described using kind polymorphism instead of subkinding, because I think
the relaxed kinds would naturally be inferred where I need them.
The problem I’m trying to solve here is defining a GADT for statically
typed expressions, where some types are lifted and some are unlifted:
data E ∷ ? → * where
⋯
App ∷ ∀ (a ∷ ?) (b ∷ ?) . E (a → b) → E a → E b
⋯
All literals would be monomorphic and unlifted, and E itself is lifted, so
we’d never need to represent anything of an open-kinded type in GHC’s RTS.
Instead, the ? kinds here are purely for managing the type constraints
needed to ensure well-typedness of represented expressions while still
allowing enough generality, including both lifted and unlifted types.
Without support for open kinds (somehow), I don’t know of any way to say
what I need to say.
I’ll keep trying to find ways to avoid this limitation. Meanwhile, I’d like
to explore what it’d take to change over the current subkinding system to
the polymorphic one. I’ve not done such a project, but I’d be glad to help
and learn my way around in the process.
-- Conal
On Mon, Apr 21, 2014 at 12:20 AM, Simon Peyton Jones
<simonpj at microsoft.com>wrote:
> Is it possible to do so with any sort of concrete syntax?
>
> I’m afraid not. And I’m strongly disinclined to add it because we’d then
> just delete it again. Are you really really stuck?
>
> S
>
>
>
> *From:* Glasgow-haskell-users [mailto:
> glasgow-haskell-users-bounces at haskell.org] *On Behalf Of *Conal Elliott
> *Sent:* 19 April 2014 01:11
> *To:* Simon Peyton Jones
>
> *Cc:* glasgow-haskell-users at haskell.org
> *Subject:* Re: Concrete syntax for open type kind?
>
>
>
> Thanks for that explanation, Simon. The new scheme sounds neater, indeed.
> Looks like the same trick used for inheritance mentioned in Calling *hell*from
> *heaven* and *heaven* from *hell*<http://research.microsoft.com/pubs/64260/comserve.ps.gz>
> .
>
> Meanwhile, I think I can work around the limitation, somewhat clumsily, of
> no open kinds if I could make a definition polymorphic over unlifted kinds,
> e.g.,
>
> > foo :: #
>
> > foo = error "foo?"
>
> Is it possible to do so with any sort of concrete syntax?
>
> -- Conal
>
>
>
>
>
> On Wed, Apr 16, 2014 at 2:35 PM, Simon Peyton Jones <simonpj at microsoft.com>
> wrote:
>
> Does anyone remember the justification of not having unlifted or open
> kinds in the source language?
>
> They aren’t in the source language because they are a gross hack, with
> many messy consequences. Particularly the necessary sub-kinding, and the
> impact on inference. I’m not proud of it.
>
>
>
> But I do have a plan. Namely to use polymorphism. Currently we have
>
> kinds k ::= * | # | ? | k1 -> k2 | ...
>
>
>
> Instead I propose
>
> kinds k ::= TYPE bx | k1 -> k2 | ....
>
> boxity bx ::= BOXED | UNBOXED | bv
>
> where bv is a boxity variable
>
>
>
> So
>
> · * = TYPE BOXED
>
> · # = TYPE UNBOXED
>
> · ? = TYPE bv
>
> Now error is polymorphic:
>
> error :: forall bv. forall (a:TYPE bv). String -> a
>
>
>
> And now everything will work out smoothly I think. And it should be
> reasonably easy to expose in the source language.
>
>
>
> All that said, there’s never enough time to do these things.
>
>
>
> Simon
>
>
>
> *From:* Glasgow-haskell-users [mailto:
> glasgow-haskell-users-bounces at haskell.org] *On Behalf Of *Conal Elliott
> *Sent:* 16 April 2014 18:01
> *To:* Richard Eisenberg
> *Cc:* glasgow-haskell-users at haskell.org
> *Subject:* Re: Concrete syntax for open type kind?
>
>
>
> Oops! I was reading ParserCore.y, instead of Parser.y.pp. Thanks.
>
> Too bad it's not possible to replicate this type interpretation of `error`
> and `undefined`. I'm doing some Core transformation, and I have a
> polymorphic function (reify) that I want to apply to expressions of lifted
> and unlifted types, as a way of structuring the transformation. When my
> transformation gets to unlifted types, the application violates the
> *-kindedness of my polymorphic function. I can probably find a way around.
> Maybe I'll build the kind-incorrect applications and then make sure to
> transform them away in the end. Currently, the implementation invokes
> `error`.
>
> Does anyone remember the justification of not having unlifted or open
> kinds in the source language?
>
> -- Conal
>
>
>
> On Tue, Apr 15, 2014 at 5:09 PM, Richard Eisenberg <eir at cis.upenn.edu>
> wrote:
>
> What version of the GHC code are you looking at? The parser is currently
> stored in compiler/parser/Parser.y.pp (note the pp) and doesn’t have these
> lines. As far as I know, there is no way to refer to OpenKind from source.
>
>
>
> You’re absolutely right about the type of `undefined`. `undefined` (and
> `error`) have magical types. GHC knows that GHC.Err defines an `undefined`
> symbol and gives it its type by fiat. There is no way (I believe) to
> reproduce this behavior.
>
>
>
> If you have -fprint-explicit-foralls and -fprint-explicit-kinds enabled,
> quantified variables of kind * are not given kinds in the output. So, the
> lack of a kind annotation tells you that `a`’s kind is *. Any other kind
> (assuming these flags) would be printed.
>
>
>
> I hope this helps!
>
> Richard
>
>
>
> On Apr 15, 2014, at 7:39 PM, Conal Elliott <conal at conal.net> wrote:
>
>
>
> I see ‘#’ for unlifted and ‘?’ for open kinds in
> compiler/parser/Parser.y:
>
> akind :: { IfaceKind }
>
> : '*' { ifaceLiftedTypeKind }
>
> | '#' { ifaceUnliftedTypeKind }
>
> | '?' { ifaceOpenTypeKind }
>
> | '(' kind ')' { $2 }
>
>
>
> kind :: { IfaceKind }
>
> : akind { $1 }
>
> | akind '->' kind { ifaceArrow $1 $3 }
>
> However, I don’t know how to get GHC to accept ‘#’ or ‘?’ in a kind
> annotation. Are these kinds really available to source programs.
>
> I see that undefined has an open-kinded type:
>
> *Main> :i undefined
>
> undefined :: forall (a :: OpenKind). a -- Defined in ‘GHC.Err’
>
> Looking in the GHC.Err source, I just see the following:
>
> undefined :: a
>
> undefined = error "Prelude.undefined"
>
> However, if I try similarly,
>
> q :: a
>
> q = error "q"
>
> I don’t see a similar type:
>
> *X> :i q
>
> q :: forall a. a -- Defined at ../test/X.hs:12:1
>
>
>
> I don't know what kind 'a' has here, nor how to find out.
>
> -- Conal
>
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