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Bind

As explained in Functional Design and Architecture: Examples in Haskell

Bind is the monadic operation that sequences a computation producing a contextual value with a function that consumes that value and produces the next contextual computation.

Bind sequences a computation that produces a contextual value with a function that consumes that value and produces the next contextual computation. In free-monad code, it turns a sequence of domain actions into nested continuations while preserving one unified recipe type. section 6.3.1 section 6.3.4

Bind improves a sequential recipe in three related ways:

  • Replaces do-notation’s left-arrow steps with explicit >>= calls. section 6.3.1
  • Passes each intermediate SandwichBody to the continuation for the next action. section 6.3.1
  • Keeps arbitrarily long free-monad chains under the common type SandwichRecipe a instead of growing nested action types. section 6.3.4

A sandwich recipe

mySandwich2 = startNewSandwich Toast Tomato >>= (\body1 -> addComponent Cheese body1 >>= (\body2 -> addComponent Salt body2 >>= (\body3 -> finishSandwich (Just Toast) body3))) section 6.3.1

mySandwich3 :: SandwichRecipe Sandwich
mySandwich3
   = startNewSandwich Toast Tomato
 >>= addComponent Cheese
 >>= addComponent Salt
 >>= finishSandwich (Just Toast)

Compare explicit nested lambdas with partial application: the same bind chain becomes shorter without losing its sequencing behavior. section 6.3.1

How Functional Design and Architecture: Examples in Haskell covers it

How deep it goes
Explains nested continuations, fmap-based recursion, and unified types while deemphasizing deeper fixed-point theory.
Examples
Uses a sandwich recipe that starts bread, adds cheese and salt, and finishes with optional bread.
What it assumes
Assumes familiarity with monadic scripts and introduces recursive Free values as the mechanism behind uniform chaining.
What you can do after
Build it from scratch by expressing and simplifying sequential free-monad computations with bind.
How it connects
Connects monads, free monads, continuations, do-notation, fmap, and recursion.

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