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Monads in Lean

Eli Bendersky's tutorial demonstrates how monads in Lean 4 can elegantly handle failure propagation in expression evaluators, replacing tedious nested match statements with cleaner compositional patterns. The article walks through a concrete motivating example using safe division and the Option type to illustrate the core problem monads solve.

Background

Monads are a fundamental abstraction in functional programming used to compose computations with side effects such as error handling, state, or IO. Lean 4 incorporates monadic constructs from languages like Haskell while supporting formal verification workflows.

Source
Lobsters
Published
Nov 11, 2026 at 06:13 PM
Score
6.0 / 10