Some reasons for generalising domain theory

Author:

HYLAND MARTIN

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.

Publisher

Cambridge University Press (CUP)

Subject

Computer Science Applications,Mathematics (miscellaneous)

Reference67 articles.

1. Coherence for compact closed categories

2. The Dedekind reals in abstract Stone duality

3. Lopez Franco, I. (2008) Autonomous pseudo-monoids, Ph.D. dissertation, University of Cambridge.

4. An algebraic approach to stable domains

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