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On powerdomains and modality

✍ Scribed by Glynn Winskel


Book ID
107948520
Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
620 KB
Volume
36
Category
Article
ISSN
0304-3975

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πŸ“œ SIMILAR VOLUMES


Universality and Powerdomains
✍ K.J. Nüßler πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 840 KB

In this paper we i n vestigate the Plotkin powerdomain under order-theoretical aspects. We answer a problem of G. Plotkin whether any bi nite domain can be embedded (with embedding-projection pairs) into the Plotkin powerdomain of a Scott-domain. Here we obtain counter-examples. There is a 9-element

Powerdomains and zero finding
✍ Keye Martin πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 262 KB
Measuring the probabilistic powerdomain
✍ Keye Martin; Michael Mislove; James Worrell πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 377 KB

In this paper we initiate the study of measurements on the probabilistic powerdomain. We show how measurements on an underlying domain naturally extend to its probabilistic powerdomain, so that the kernel of the extension consists of exactly those normalized measures on the kernel of the measurement

Resolution in the Smyth powerdomain
✍ Guo-Qiang Zhang; William C. Rounds πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 28 KB

The purposes of this paper are (i) to give a new, efficient representation of Smyth powerdomains as 0-inhabited information systems, following the style of Scott; (ii) to introduce, as a consequence of this representation, a generalized resolution method for an arbitrary Smyth powerdomain and show t

A Powerdomain of Possibility Measures
✍ Michael Huth πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 780 KB

We p r o vide a domain-theoretic framework for possibility theory by studying possibility measures on the lattice of opens O(X) of a topological space X . The powerspaces P 0 1] (X) and P 0 1] (X) o f a l l s u c h maps extend to functors in the natural way. We m a y think of possibility measures as