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An Adequate Left-Associated Binary Numeral System in the lambda-Calculus

BRICS Report Series

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Title An Adequate Left-Associated Binary Numeral System in the lambda-Calculus
 
Creator Goldberg, Mayer
 
Description This paper introduces a sequence of lambda-expressions, modelling the binaryexpansion of integers. We derive expressions computing the testfor zero, the successor function, and the predecessor function, therebyshowing the sequence to be an adequate numeral system. These functionscan be computed efficiently. Their complexity is independent ofthe order of evaluation.Keywords: Programming calculi, lambda-calculus, functional programming.
 
Publisher Aarhus University
 
Contributor
 
Date 1995-06-12
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion

 
Format application/pdf
 
Identifier https://tidsskrift.dk/brics/article/view/19943
10.7146/brics.v2i42.19943
 
Source BRICS Report Series; No 42 (1995): RS-42 An Adequate Left-Associated Binary Numeral System in the lambda-Calculus
BRICS Report Series; No 42 (1995): RS-42 An Adequate Left-Associated Binary Numeral System in the lambda-Calculus
1601-5355
0909-0878
 
Language eng
 
Relation https://tidsskrift.dk/brics/article/view/19943/17596
 
Rights Copyright (c) 2015 BRICS Report Series