| bird | syntax | combinator | interpretation |
|---|---|---|---|
| idiot | a -> a | I combinator | id |
| kestrel | a -> b -> a | K combinator | const |
| bluebird | (b -> c) -> (a -> b) -> a -> c | B combinator | compose |
| cardinal | (a -> b -> c) -> b -> a -> c | C combinator | flip |
| applicator | (a -> b) -> a -> b | A combinator | function application |
| psi | (b -> b -> c) -> (a -> b) -> a -> a -> c | Psi combinator | on |
| becard | (c -> d) -> (b -> c) -> (a -> b) -> a -> d | B3 combinator | |
| blackbird | (c -> d) -> (a -> b -> c) -> a -> b -> d | B1 combinator | |
| bluebird prime | (a -> c -> d) -> a -> (b -> c) -> b -> d | B' combinator | |
| bunting | (d -> e) -> (a -> b -> c -> d) -> a -> b -> c -> e | B2 combinator |
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Implementations Haskell data-aviary, Purescript Aviary.Birds, JavaScript fantasy-birds, Scala folone/type-level-birds
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Resources
- Combinator Birds - Chris Rathman Reference of Birds expressed as Combinatory Logic (SKI calculus)
- functions from Functor, Applicative, Monad, Comond as combinators
- Haskell Wiki Combinatory logic
- Combinatory Logic Tutorial - Chris Barker
- The Thrush combinator in Scala - Debasish Ghosh (blog post)
- (Haskell) Combinators in Haskell - geophf (blog post)
- (Haskell) Combinatory Birds as Types - geophf (blog post)