Zone 01 / The Quest Begins

λ calculus in wet neon

haskell.quest

A journey through types, abstractions, and elegant composition.

main :: IO Discovery
signature map :: (a → b) → [a] → [b]
premise

Types Illuminate

Every expression carries a shape. The compiler becomes a lantern, revealing paths before the program takes a single step.

module 
quest :: Reader World Insightquest = ask >>= observe              >>= pure . clarifyclarify :: World → Insight
kind Maybe :: Type → Type
Zone 02 / The Abstractions
<$> Functor

Map the Shape

A functor preserves structure while changing contents. The vessel remains; the value transforms.

category diagram fmap pure bind
Applicative

Lifted Light

Independent computations meet inside context. Effects align like pigment bands bleeding in parallel.

(<*>) :: f (a → b) → f a → f b
type hierarchy F A M T IO
>>=
Monad

Sequence Meaning

Monad binds each discovery to the next. It is not mystery; it is a riverbed for decisions.

(>>=) :: m a → (a → m b) → m b
Zone 03 / The Composition
composition flow

Functions Flow

parse
validate
render
render . validate . parse
lazy stream 
naturals :: [Integer]naturals = [1..]answer :: Integeranswer = naturals !! 1000000-- only what is needed-- comes into focus
typeclasses

Shared Laws

Interfaces become constellations: different instances, one lawful geometry.

identityassociativitycomposition
reader ask :: Reader r r
quest complete

Elegance Emerges

At the end of the grid, the concepts do not collapse into slogans. They compose: small certainties, luminous against the void.

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