An Initial−Algebra Approach to Directed Acyclic Graphs

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 recu...

Full description

Bibliographic Details
Main Author: Gibbons, J
Format: Conference item
Published: Springer−Verlag 1995
Description
Summary: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. <p> We show how to model a particular kind of directed acyclic graph using this initial-algebra approach.</p>