Transformation Function Called Higher-Order
summary
Uses System F and basic lambda-calculus rules to derive the identity functor, applicative, and monad from their types, with concrete Scala code recipes. Shows how to read types via beta-reduction, derives bind from pure and ap (including an explicit join implementation), and defines pipeline and Kleisli composition with an associativity proof for refactoring.
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chapters (11)
- 0:00Higher-order intro
- 1:49Lambda identity type
- 2:53Function application
- 5:24Functional transformation
- 7:52Function pipelines
- 9:57Type constructors
- 11:22Pure functions
- 13:47Bind function
- 15:55Kleisli operator
- 18:03Functional vs data-centric
- 19:49Further resources
