Fiore, Marcelo (1997) An enrichment theorem for an axiomatisation of categories of domains and continuous functions. Mathematical Structures in Computer Science, 7 (5). pp. 591-618. ISSN 09601295

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Abstract

Domain-theoretic categories are axiomatised by means of categorical non-order-theoretic requirements on a cartesian closed category equipped with a commutative monad. In this paper we prove an enrichment theorem showing that every axiomatic domain-theoretic category can be endowed with an intensional notion of approximation, the path relation, with respect to which the category Cpo-enriches.

Our analysis suggests more liberal notions of domains. In particular, we present a category where the path order is not [omega]-complete, but in which the constructions of domain theory (such as, for example, the existence of uniform fixed-point operators and the solution of domain equations) are available.

Item Type:	Article
Schools and Departments:	School of Engineering and Informatics > Informatics
Depositing User:	EPrints Services
Date Deposited:	06 Feb 2012 21:24
Last Modified:	14 Jun 2012 10:58
URI:	http://sro.sussex.ac.uk/id/eprint/31081

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