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the mechanicals

Various implementations of the lambda calculus (and friends).

The code here is hopefully pretty readable: but makes heavy use of quasiquoting. For an introduction, see Explaining Lisp's quoting without getting tangled.

  • [~] LC: The untyped lambda calculus.
  • [x] STLC: The simply-typed lambda calculus.
  • [x] STLC-ext: Simple extensions. Sums, products, lists, ascryptions.
  • [x] STLC-fix: General recursion.
  • [x] STLC-rec: Iso-recursive types.
  • [ ] STLC-sub: Subtyping. Structural records, intersective unions, implicit typeclasses, ⊤, ⊥.
  • [x] STLC-ref: References.
  • [x] STLC-pred: Higher-order predicative references. Terminating.
  • [x] STLC-imp: Higher-order impredicative references. Terminating.
  • [x] STLC-dll: Doubly-linked lists via sums, products, ascryption, recursive types, and impredicative references. Terminating?
  • [ ] STLC-rc: References with reference counting.
  • [ ] STLC-gc: References with a tracing garbage collector.
  • [ ] STLC-own: References with first-class ownership, Rust-style.
  • [ ] STLC-lent: References with second-class ownership.
  • [ ] STLC-dep: Dependent types with normalization by evaluation.
  • [~] SKI: The SKI combinator calculus.
  • [~] Iota, Jot, Zot: Implementations of Chris Barker's languages.
  • [~] Aviary: Various combinators and constructions of equivalence.