leanprover-community / leanprover-community/mathlib4

Parameterized Coinduction

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Description

Hi there, I've been working on some proofs that required coinductive techniques and found myself having to work outside Mathlib. I ended up building a faithful port of Paco from Coq → Lean so I could work with known proof techniques.

Original: https://github.com/snu-sf/paco

Lean version: https://github.com/hxrts/paco-lean

Differences between the two: https://hxrts.com/paco-lean/07-coq-differences.html

I'm happy to keep this as a separate library, but it seems like common machinery of this sort tends to end up in Mathlib, so I thought I'd ask if this seemed of use to the Mathlib community. If so, I can split it up into a few PRs, or follow contributor guidance for inclusion.

Thanks!

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 reviewing the linked paco-lean library, the original Coq Paco project, and the documented Coq-to-Lean differences. Determine whether parameterized coinduction fits Mathlib's scope and contributor process; done means an agreed inclusion plan or a clear decision to keep it separate.

Written by the indexing model from the issue text.

Assessment

Domain
compilers
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
25/100

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