The Directed Probabilistic Powerspace
General Topology
2022-03-14 v2
Abstract
Probabilistic powerdomain in domain theory plays an important role in modeling the semantics of nondeterministic functional programming languages with probabilistic choice. In this paper, we extend the notion of powerdomain to directed spaces, which is equivalent to the notion of the T0 monotone-determined space [4]. We construct the probabilistic powerspace of the directed space, which is defined as a free directed space-cone. In addition, the relationships between our construction and classical probabilistic powerdomain are studied.
Cite
@article{arxiv.2203.04506,
title = {The Directed Probabilistic Powerspace},
author = {Xiaolin Xie and Hui Kou and Zhenchao Lyu},
journal= {arXiv preprint arXiv:2203.04506},
year = {2022}
}
Comments
14 pages