# Weak head normal form

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− | An expression is in weak head normal form, iff it is either: |
+ | An expression is in weak head normal form (WHNF), if it is either: |

* a constructor (eventually applied to arguments) like True, Just (square 42) or (:) 1 |
* a constructor (eventually applied to arguments) like True, Just (square 42) or (:) 1 |
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* a built-in function applied to too few arguments (perhaps none) like (+) 2 or sqrt. |
* a built-in function applied to too few arguments (perhaps none) like (+) 2 or sqrt. |

## Revision as of 23:47, 25 December 2012

An expression is in weak head normal form (WHNF), if it is either:

- a constructor (eventually applied to arguments) like True, Just (square 42) or (:) 1
- a built-in function applied to too few arguments (perhaps none) like (+) 2 or sqrt.
- or a lambda abstraction \x -> expression.

Note that the arguments do not themselves have to be fully evaluated for an expression to be in weak head normal form; thus, while (square 42) can be reduced to (42 * 42), which can itself be reduced to a normal form of 1764, Just (square 42) is WHNF without further evaluation. Similarly, (+) (2 * 3 * 4) is WHNF, even though (2 * 3 * 4) could be reduced to the normal form 24.