Information Systems with Witnesses: The Function Space Construction
Logic in Computer Science
2021-10-15 v3
Abstract
Information systems with witnesses have been introduced in [D. Spreen. Generalised information systems capture L-domains. arXiv:1610.02260v2] as a logic-style representation of L-domains: The category of such information systems with approximable mappings as morphisms is equivalent to the category of L-domains with Scott continuous functions, which is known to be Cartesian closed. In the present paper a direct proof of the Cartesian closure of the category of information systems with witnesses and approximable mapppings is given. As is shown, the collection of approximable mappings between two information systems with witnesses comes with a natural information system structure.
Cite
@article{arxiv.1702.05079,
title = {Information Systems with Witnesses: The Function Space Construction},
author = {Dieter Spreen},
journal= {arXiv preprint arXiv:1702.05079},
year = {2021}
}
Comments
40 pages. arXiv admin note: text overlap with arXiv:1610.02260