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Author Rosen, Barry K.
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©1973
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Abstract Subtree replacement systems form a broad class of tree-manipulating systems. Systems with the “Church-Rosser property” are appropriate for evaluation or translation processes: the end result of a complete sequence of applications of the rules does not depend on the order in which the rules were applied. Theoretical and practical advantages of such flexibility are sketched. Values or meanings for trees can be defined by simple mathematical systems and then computed by the cheapest available algorithm, however intricate that algorithm may be.We derive sufficient conditions for the Church-Rosser property and discuss their applications to recursive definitions, to the lambda calculus, and to parallel programming. Only the first application is treated in detail. We extend McCarthy's recursive calculus by allowing a choice between call-by-value and call-by-name. We show that recursively defined functions are single-valued despite the nondeterminism of the evaluation algorithm. We also show that these functions solve their defining equations in a “canonical” manner.
ISSN 00045411
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1973-01-01
Publisher Place New York
e-ISSN 1557735X
Journal Journal of the ACM (JACM)
Volume Number 20
Issue Number 1
Page Count 28
Starting Page 160
Ending Page 187


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Source: ACM Digital Library