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Free monad

A free monad represents computations as composable syntax over an operation set, with interpretation and execution supplied separately.

How 2 Manning books explain it

Functional Design and Architecture: Examples in Haskell

The Free Monad pattern represents a sequence of domain operations as a data structure that can be interpreted independently from execution.

How it is used
Separates domain scenarios from effectful execution through interpretable functional interfaces.
How deep it goes
Explains pattern roles, recursive Free and Pure constructors, smart constructors, functor mapping, and bind-based chaining.
Examples
Uses terminal input and output, sandwich construction, hardware-controller setup, sensor reading, and a weather-reading script.
What you can do after
Build it from scratch by defining an algebra, functor, Free wrapper, smart constructors, scenarios, and interpreters.

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Functional Programming in Scala, Second Edition

A free monad is a monad generated from an underlying set of operations, representing computations as composable syntax whose interpretation is supplied separately.

How it is used
Represents effectful programs as pure values before a separate interpreter executes them.
How deep it goes
Defines recursive structure, monadic construction, trampolined execution, and generic interpretation without detailing a complete implementation.
Examples
Uses Free[F, A], Return and FlatMap, runTrampoline, generic run, and combined Files and Console algebras.
What you can do after
Builds Free monad operations and interpreters, including a specialized tail-recursive interpreter and a generic interpreter given Monad[F].

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Related concepts

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