Try Our Apps


WATCH "Lumbersexual"

church integer

church integer in Technology

A representation of integers as functions invented by Alonzo Church, inventor of lambda-calculus. The integer N is represented as a higher-order function which applies a given function N times to a given expression. In the pure lambda-calculus there are no constants but numbers can be represented by Church integers.
A Haskell function to return a given Church integer could be written:
church n = c where c f x = if n == 0 then x else c' f (f x) where c' = church (n-1)
A function to turn a Church integer into an ordinary integer:
unchurch c = c (+1) 0
See also von Neumann integer.

The Free On-line Dictionary of Computing, © Denis Howe 2010
Cite This Source

Word of the Day

Word Value for church

Scrabble Words With Friends

Nearby words for church integer