Domains as Models for Semantic Information

Issue title: Special issue in memoriam of Yurii Rogozhin

Article type: Research Article

Authors: Muravitsky, Alexei Y.

Affiliations: Louisiana Scholars' College, Northwestern State University, Natchitoches, LA 71497, USA. alexeim@nsula.edu

Note: [] Address for correspondence: Louisiana Scholars' College, Northwestern State University, Natchitoches, LA 71497, USA

Abstract: We propose a framework in terms of domain theory for semantic information models. We show how an artificial agent (the computer) can operate within such a model in a multiple attitude environment (fuzziness) where information is conveyed. We illustrate our approach by two examples — taking as the set of the degrees of reliability Kleene's 3-valued strong logic and Belnap-Dunn's 4-valued logic.

Keywords: semantic information, complete semilattice, domain, upper powerdomain, Scott-continuous function

DOI: 10.3233/FI-2015-1208

Journal: Fundamenta Informaticae, vol. 138, no. 1-2, pp. 207-225, 2015