input-output-hk / input-output-hk/Lean-blaster

Support for Inductive datatype with instance parameters

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area: smt enhancement
Dominant language
Lean
Stars
57
Forks
11
Avg merge
1d 5h
Merged PRs (30d)
10

Description

There is a need to extend Lean4 to Smt translation to properly handle inductive data types with instance parameters. Examples:

```lean
inductive NatGroupParam (x : Nat) where
| first (n : Nat) (h1 : n ≥ x) (h2 : n < x + 100) : NatGroupParam x
| second (n : Nat) (h1 : n > x + 100) (h2 : n < x + 200) : NatGroupParam x
| next (n : NatGroupParam x)
```

```lean
structure Fin (n : Nat) where
/-- Creates a `Fin n` from `i : Nat` and a proof that `i < n`. -/
mk ::
/-- If `i : Fin n`, then `i.val : ℕ` is the described number. It can also be
written as `i.1` or just `i` when the target type is known. -/
val : Nat
/-- If `i : Fin n`, then `i.2` is a proof that `i.1 < n`. -/
isLt : LT.lt val n

```

---
**Transferred from:** input-output-hk/sc-fvt#246

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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 locating the Lean4-to-SMT translation entry point for inductive declarations and reproduce the two examples from the issue. Check how instance parameters are represented during translation; done means both NatGroupParam and Fin translate correctly without losing their parameters.

Written by the indexing model from the issue text.

Assessment

Domain
compilers
Issue type
Feature
Difficulty
4/5
Estimated time
3-5 days
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
35/100

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