For a quantale V, first a closure-theoretic approach to completeness and separation in V-categories is presented. This approach is then generalized to T-categories, where T is a to...
We investigate the construction of linear operators representing the semantics of probabilistic programming languages expressed via probabilistic transition systems. Finite transi...
Abstract. The concatenation product is one of the most important operations on regular languages. Its study requires sophisticated tools from algebra, ļ¬nite model theory and proļ...
Minimal generators (or mingen) constitute a remarkable part of the closure space landscape since they are the antipodes of the closures, i.e., minimal sets in the underlying equiva...
: A deļ¬nition of types in an information system is given from real-world abstractions through data constructs, schema and deļ¬nitions to physical data values. Category theory su...
B. Nick Rossiter, David A. Nelson, Michael A. Heat...