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