leanprover / leanprover/lean4

Can't use `attribute [semireducible]` on well-founded definitions.

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Lean
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Description

Description

While we can make a well-founded definition (which is irreducible by default) semireducible using @[semireducible], we can't make it semireducible with attribute [semireducible], even immediately afterwards.

Steps to Reproduce
abbrev F (α : Type _) := (Nat → α) → α

inductive Circuit (α : Type _) (γ : List (F α))
| input : Nat → Circuit α γ
| gate : (g : F α) → (_ : g ∈ γ) → List (Circuit α γ) → Circuit α γ

namespace Circuit

variable {α : Type _} [Inhabited α] {γ : List (F α)}

-- @[semireducible] -- This works!
def eval (c : Circuit α γ) (input : Nat → α) : α :=
  match c with
  | .input n => input n
  | .gate g _ cs => g fun n => match h : cs[n]? with
    | some c =>
      have : c ∈ cs := List.getElem?_mem h
      eval c input
    | none => default

attribute [semireducible] eval -- But this doesn't. Fails with:
-- failed to set `[semireducible]` for `Circuit.eval`, declarations are `[semireducible]` by default

end Circuit
Impact

Relatively minor. I wouldn't even mind if it was still disallowed, but with an actionable error message.

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 by running the reproducer for Circuit.eval and compare the inline @[semireducible] declaration with the later attribute [semireducible] command. Trace the handling of the semireducible attribute for well-founded definitions. Done means the command works consistently or reports an actionable error explaining why it is disallowed.

Written by the indexing model from the issue text.

Assessment

Domain
compilers
Issue type
Bug
Difficulty
3/5
Estimated time
1-2 days
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
45/100

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