Topological predicates between spatial objects have always been a main area of research on spatial data handling, reasoning, and query languages. The focus of research has definit...
Abstract. We consider quantifier-free spatial logics, designed for qualitative spatial representation and reasoning in AI, and extend them with the means to represent topological c...
Roman Kontchakov, Ian Pratt-Hartmann, Frank Wolter...
If a locale is presented by a "flat site", it is shown how its frame can be presented by generators and relations as a dcpo. A necessary and sufficient condition is deri...
Locatedness is one of the fundamental notions in constructive mathematics. The existence of a positivity predicate on a locale, i.e. the locale being overt, or open, has proved to ...
We focus in this paper on some meta-level ontological distinctions among unary predicates, like those between concepts and assertional properties. Three are the main contributions...