Title
Expedited Broda-Damas Bracket Abstraction
Abstract
A bracket abstraction algorithm is a means of translating lambda -terms into combinators. Broda and Damas, in [1]. introduce a new. rather natural set of combinators and a new form of bracket abstraction which introduces at most one combinator for each lambda -abstraction. This leads to particularly compact combinatory terms. A disadvantage of their abstraction process is that it includes the whole Schonfinkel [4] algorithm plus two mappings which convert the Schonfinkel abstract into the new abstract. This paper shows how the new abstraction can be done more directly. in fact. using only 2n - 1 algorithm steps if there are n occurrences of the variable to be abstracted in the term. some properties of the Broda-Damas combinators are also considered.
Year
DOI
Venue
2000
10.2307/2695081
JOURNAL OF SYMBOLIC LOGIC
DocType
Volume
Issue
Journal
65
4
ISSN
Citations 
PageRank 
0022-4812
0
0.34
References 
Authors
0
1
Name
Order
Citations
PageRank
Martin W. Bunder16416.78