leanprover-community / leanprover-community/lean

universe error in definition generated by the equation compiler

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C++
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Description

This was found by Joseph Rotella. The equation compiler fails to create a helper definition because of a universe error, even though the definition itself is sensible.

-- fails to create a helper definition
def foldr_cps {α β γ : Sort*} (g : α → β → β) (z : β) : list α → (β → γ) → γ
| list.nil k := k z
| (list.cons x xs) k := foldr_cps xs (λz', k (g x z'))

-- succeeds
def foldr_cps' {α β γ : Sort*} (g : α → β → β) (z : β) (l : list α) : (β → γ) → γ :=
@list.rec_on α (λ _, (β → γ) → γ) l
  (λ k : β → γ, k z) 
  (λ x xs r k, r (λ z', k (g x z')))
Prerequisites
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Description

[Description of the issue]

Steps to Reproduce
  1. [First Step]
  2. [Second Step]
  3. [and so on...]

Expected behavior: [What you expect to happen]

Actual behavior: [What actually happens]

Reproduces how often: [What percentage of the time does it reproduce?]

Versions

You can get this information from copy and pasting the output of lean --version,
please include the OS and what version of the OS you're running.

Additional Information

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Contributor guide

Open the contributing guide

First steps

  1. Read the whole issue, then the project's contributing guide.
  2. Comment on the issue to say you are picking it up — it saves two people doing the same work.
  3. Fork the repository and make your change on a branch.
  4. Open a pull request that references the issue number.

Research direction

Start with the equation compiler and the supplied foldr_cps and foldr_cps' reproductions. Compare why the pattern-matching definition fails while the explicit list.rec_on definition succeeds; done means the first definition creates its helper definition without a universe error.

Written by the indexing model from the issue text.

Assessment

Domain
compilers
Issue type
Bug
Difficulty
4/5
Estimated time
3-5 days
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
35/100

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