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Some reasons for generalising domain theory

MARTIN HYLAND

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Source: Crossref

Published: Mar 25, 2010

DOI: 10.1017/s0960129509990375

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Source abstract

One natural way to generalise domain theory is to replace partially ordered sets by categories. This kind of generalisation has recently found application in the study of concurrency. An outline is given of the elegant mathematical foundations that have been developed. This is specialised to give a construction of cartesian closed categories of domains, which throws light on standard presentations of domain theory.

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Some reasons for generalising domain theory — Mathematical Frontier Network