de bruijn notation

Computing Dictionary

De Bruijn notation definition

A variation of lambda notation for specifying functions using numbers instead of names to refer to formal parameters. A reference to a formal parameter is a number which gives the number of lambdas (written as \ here) between the reference and the lambda which binds the parameter. E.g. the function \ f . \ x . f x would be written \ . \ . 1 0. The 0 refers to the innermost lambda, the 1 to the next etc. The chief advantage of this notation is that it avoids the possibility of name capture and removes the need for alpha conversion.
[N.G. De Bruijn, "Lambda Calculus Notation with Nameless Dummies: A Tool for Automatic Formula Manipulation, with Application to the Church-Rosser Theorem", Indag Math. 34, pp 381-392].
The Free On-line Dictionary of Computing, © Denis Howe 2010
Cite This Source
Previous Definition: de bruijn graph
Next Definition: de bruise
Words Near: de Bruijn notation
More from
Synonyms and Antonyms for de Bruijn notation
More from
Search for articles containing de Bruijn notation Word FAQs presents 366 FAQs, incorporating some of the frequently asked questions from the past with newer queries.

Copyright © 2014, LLC. All rights reserved.
  • Please Login or Sign Up to use the Recent Searches feature