Title
Logically Presented Domains
Abstract
In this paper we connect the theory of Scott-Ershov domains to first order model theory. The completeness property of domains is related to the model-theoretic notion of saturation. In constraint programming this analogy is already used on the level of finite approximations. A simple relation to structures used in nonstandard analysis is obtained. This leads to natural logical presentations of domain constructions such as function space, products and the Smyth power domain. Sufficient conditions on models for constructing function spaces are given.
Year
DOI
Venue
1995
10.1109/LICS.1995.523279
LICS
Keywords
Field
DocType
completeness property,function space,finite approximation,order model theory,smyth power domain,logically presented domains,constraint programming,domain construction,natural logical presentation,model-theoretic notion,scott-ershov domain,formal logic,set theory,nonstandard analysis,model theory,algebra,formal languages,mathematical programming,first order,function spaces,logic programming,saturation
Set theory,Discrete mathematics,Function space,Combinatorics,Power domains,Computer science,Constraint programming,Domain theory,Logic programming,Model theory,Least-upper-bound property
Conference
ISSN
ISBN
Citations 
1043-6871
0-8186-7050-6
0
PageRank 
References 
Authors
0.34
5
2
Name
Order
Citations
PageRank
Erik Palmgren123343.17
Viggo Stoltenberg-hansen211018.25