https://github.com/omentic/mechanicals

Various implementations of the lambda calculus and friends
https://github.com/omentic/mechanicals

bidirectional-typechecking lambda-calculus

Last synced: 5 days ago
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Various implementations of the lambda calculus and friends

• Host: GitHub
• URL: https://github.com/omentic/mechanicals
• Owner: omentic
• License: 0bsd
• Created: 2024-05-15T01:33:05.000Z (6 months ago)
• Default Branch: main
• Last Pushed: 2024-10-24T01:10:09.000Z (15 days ago)
• Last Synced: 2024-10-24T16:16:05.024Z (14 days ago)
• Topics: bidirectional-typechecking, lambda-calculus
• Language: Racket
• Homepage:
• Size: 161 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# the mechanicals

Various implementations of the lambda calculus (and friends).

The code here is hopefully pretty readable: but makes heavy use of quasiquoting, and contracts. \

For an introduction to quasiquoting, see [*Explaining Lisp's quoting without getting tangled*](quasiquoting). For an introduction to contracts, see [*Simple contracts on functions*](https://docs.racket-lang.org/guide/contract-func.html).

* untyped

  * [ ] lc.rkt: The untyped lambda calculus.

  * [ ] ski.rkt: The SKI combinator calculus.

  * [ ] iota.rkt, jot.rkt, zot.rkt: Implementations of Chris Barker's combinator languages.

  * [ ] aviary.rkt: Various combinators and constructions of equivalence.

* simple

  * [x] stlc.rkt: The simply-typed lambda calculus.

  * [x] ext.rkt: Simple extensions. Sums, products, lists, ascryptions.

  * [x] fix.rkt: General recursion.

  * [x] rec.rkt: Iso-recursive types.

  * [x] ref.rkt: References. No garbage collection. Nonterminating.

* research

  * [x] hor.rkt: Higher-order im/predicative references. Terminating.

  * [x] dll.rkt: Doubly-linked lists via sums, products, ascryption, recursive types, and impredicative references. Terminating?

  * [x] levels.rkt: Higher-order im/predicative references with an algebraic level system. Terminating?

[quasiquoting]: https://cadence.moe/blog/2022-10-17-explaining-lisp-quoting-without-getting-tangled