Type-lifting function
A type-lifting function embeds a value into a corresponding computational context, container, or type, often a monadic type.
Functional Programming in Scala, Second Edition
unit is a book-defined operation that constructs a state-threading computation containing a supplied value without changing the state.
- How it is used
- Lifts ordinary values into State, Par, and other computation types so combinators can compose them.
- How deep it goes
- Defines state-preserving lifting, derives combinators from it, and states Monad and Applicative identity laws.
- Examples
- Uses empty-list state sequencing, element numbering, parallel sorting, and concrete Option, List, Par, and State instances.
- What you can do after
- Apply it via Monad or Applicative combinators to introduce values and construct composed computations.
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Functional Programming in JavaScript
A monadic constructor operation that lifts a plain value into a monadic context.
- How it is used
- Uses lifting to bring ordinary results into Maybe-based functional error-handling pipelines.
- How deep it goes
- Defines the operation with a short implementation and example, but does not derive its laws or generalize beyond Maybe.
- Examples
- Demonstrates lifting console.log and database lookup results into Maybe.
- What you can do after
- Apply it via JavaScript and Ramda to process nullable values without explicit branching.
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The Joy of JavaScript
A type-lifting function is a constructor-like function that places a raw value into a context or container type.
- How it is used
- Raises ordinary functions into container-based composition while retaining contextual data and encapsulating application effects.
- How deep it goes
- Defines construction, mapping, and extraction, then demonstrates them with arrays without fully specifying wrapper-specific logic.
- Examples
- Uses Array.of with unique, join, and toUpper to transform "aabbcc" into "ABC".
- What you can do after
- Apply it via JavaScript containers by lifting values, mapping transformations, and extracting results.
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Fabulous Adventures in Data Structures and Algorithms
Unit is the conventional monadic operation that wraps a value of type T into the corresponding monadic type M<T>.
- How it is used
- Creates a monadic wrapper so ordinary values can enter workflows carrying nullability, laziness, asynchrony, sequences, or other capabilities.
- How deep it goes
- Defines Unit, gives C# implementations, and connects it to Bind, Map, and Join without developing monad laws.
- Examples
- Uses Nullable<T>, Lazy<T>, Task<T>, IEnumerable<T>, and discrete distributions as concrete lifting targets.
- What you can do after
- Builds Unit functions that place values into nullable, lazy, asynchronous, sequence, or probability workflows.
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Related concepts
- monadused by · A monad is a functional abstraction that encapsulates computational context and provides operations for composing computations while preserving that context.
- traverseused by · Traverse is an operation that maps an effectful function across a traversable structure and collects the results within an applicative context.
- data transformationused by · A data transformation is an operation or function that maps input data or its representation to modified data or a different representation.
- identity elementkind of · An identity element is an element that leaves every compatible element unchanged when combined with it under a specified binary operation.
- joincontrasts with · Join is a monadic operation that removes one level of nesting from a nested monadic value.
- applicative functorused by · An applicative functor is an abstraction that applies functions within a computational context to context-wrapped values while combining their contexts.
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