Alpha-equivalence for recursive let-bindings

Simon Peyton Jones simonpj at microsoft.com
Mon Nov 8 12:02:39 UTC 2021


Huh!  Dead right!

Would you like to:

  *   Open a ticket (you can use the text from this email)
  *   Submit a MR?

On the MR,

  *   Add a Note that again gives your killer example; and mention why we don't need the check for NonRec
  *   Worth also pointing out that letrec { x = e1; y = e2 } in b is NOT considered equal to letrec { y = e1; x = e1 } in b.   Nor are let x=e1 in let y = e2 in b   considered equal to  let y = e1 in let x = e1 in b.   This is fine; but worth pointing out.

Thanks for pointing this out!

Simon

PS: I am leaving Microsoft at the end of November 2021, at which point simonpj at microsoft.com<mailto:simonpj at microsoft.com> will cease to work.  Use simon.peytonjones at gmail.com<mailto:simon.peytonjones at gmail.com> instead.  (For now, it just forwards to simonpj at microsoft.com.)

From: ghc-devs <ghc-devs-bounces at haskell.org> On Behalf Of Christiaan Baaij
Sent: 07 November 2021 21:08
To: ghc-devs <ghc-devs at haskell.org>
Subject: Alpha-equivalence for recursive let-bindings

Hi list,

I was looking at the `Eq (DeBruijn CoreExpr)` instance and I noticed that the types of recursive let-bindings aren't checked for alpha-equivalence:

https://gitlab.haskell.org/ghc/ghc/-/blob/master/compiler/GHC/Core/Map/Expr.hs#L166-174<https://nam06.safelinks.protection.outlook.com/?url=https%3A%2F%2Fgitlab.haskell.org%2Fghc%2Fghc%2F-%2Fblob%2Fmaster%2Fcompiler%2FGHC%2FCore%2FMap%2FExpr.hs%23L166-174&data=04%7C01%7Csimonpj%40microsoft.com%7C4e4f1afdc4d64d66f2ef08d9a232bca8%7C72f988bf86f141af91ab2d7cd011db47%7C1%7C0%7C637719161836942634%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=6TGl3MHDSGLyUFjfMwce13K%2FVprCl7YRMQnRGrJj%2BAI%3D&reserved=0>

    go (Let (Rec ps1) e1) (Let (Rec ps2) e2)
      = equalLength ps1 ps2
      && D env1' rs1 == D env2' rs2
      && D env1' e1  == D env2' e2
      where
        (bs1,rs1) = unzip ps1
        (bs2,rs2) = unzip ps2
        env1' = extendCMEs env1 bs1
        env2' = extendCMEs env2 bs2

But doesn't that mean that:
let (x :: Int) = x in x
and
let (y :: Bool) = y in y
are considered alpha-equivalent?
If that is the case, then I think that's wrong. Agree?
I understand that you don't have to check types for non-recursive let-bindings: when the RHSs match, the types must be the same.

-- Christiaan

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