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An Initial−Algebra Approach to Directed Acyclic Graphs

Abstract:
The initial-algebra approach to modelling datatypes consists of giving constructors\\/ for building larger objects of that type from smaller ones, and laws\\/ identifying different ways of constructing the same object. The recursive decomposition of objects of the datatype leads directly to a recursive pattern of computation on those objects, which is very helpful for both functional and parallel programming.

We show how to model a particular kind of directed acyclic graph using this initial-algebra approach.

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
Publisher:
Springer−Verlag
Host title:
Mathematics of Program Construction
Volume:
947
Publication date:
1995-01-01
UUID:
uuid:cdfd12d7-d7e0-4ff4-a40d-bc3cae101c77
Local pid:
cs:2341
Deposit date:
2015-03-12

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