# Domain theory

@inproceedings{Abramsky1995DomainT,
title={Domain theory},
author={Samson Abramsky and Achim Jung},
booktitle={Logic in Computer Science},
year={1995}
}
• Published in Logic in Computer Science 15 January 1995
• Mathematics
bases were introduced in [Smy77] where they are called “R-structures”. Examples of abstract bases are concrete bases of continuous domains, of course, where the relation≺ is the restriction of the order of approximation. Axiom (INT) is satisfied because of Lemma 2.2.15 and because we have required bases in domains to have directed sets of approximants for each element. Other examples are partially ordered sets, where (INT) is satisfied because of reflexivity. We will shortly identify posets as…
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