1.8 KiB
1.8 KiB
References
Primary Learning Resources
| Abbr | Title | Link |
|---|---|---|
| FPIL | Functional Programming in Lean | https://lean-lang.org/functional_programming_in_lean/ |
| TPIL | Theorem Proving in Lean 4 | https://leanprover.github.io/theorem_proving_in_lean4/ |
| MiL | Mathematics in Lean | https://leanprover-community.github.io/mathematics_in_lean/ |
PL Semantics Formalizations in Lean 4
| Resource | What it covers | Link |
|---|---|---|
| syndikos/lean4-stlc | STLC: syntax, semantics, typing, metatheory (Progress + Preservation) | https://github.com/syndikos/lean4-stlc |
| chenson2018/LeanScratch | Untyped λ-calculus: de Bruijn + locally nameless, confluence proofs | https://github.com/chenson2018/LeanScratch |
| sdemos/type-inference | STLC + HM type inference, soundness & completeness of W | https://github.com/sdemos/type-inference |
| rami3l/PLFaLean | PLFA Parts 2–3 translated to Lean 4 | https://github.com/rami3l/PLFaLean |
PL Theory (Non-Lean)
| Resource | Format | Link |
|---|---|---|
| Software Foundations Vol.2 | Rocq book | https://softwarefoundations.cis.upenn.edu/ |
| PLFA Part 2 | Agda book | https://plfa.github.io/ |
| Chris Henson: Beginner Resources for Formalizing Lambda Calculi | Blog post | https://chrishenson.net/posts/2025-05-10-formalized_lambda_calculus.html |
HM Type System
| Resource | Format | Link |
|---|---|---|
| Wikipedia: Hindley-Milner type system | Reference | https://en.wikipedia.org/wiki/Hindley%E2%80%93Milner_type_system |
| Jeff Vaughan: "A proof of correctness for the HM type inference algorithm" | PDF (2008) | https://www.jeffvaughan.net/docs/hmproof.pdf |
Community
- Official site: https://lean-lang.org/
- Zulip chat: https://leanprover.zulipchat.com/
- Lean 4 docs: https://lean-lang.org/documentation/