subsetdepend
Subsetdepend is a term used to describe a form of dependence that concerns how properties of subsets are determined by their relationships to a fixed collection of subsets. It is a general, abstract notion used in set theory, logic, and related areas to study how much of a subset’s behavior is captured by a smaller, chosen family of references.
Let U be a universe and F be a family of subsets of U. For any S
Consider U = {a, b, c} and F = {{a}, {b}}. A predicate P(S) that holds exactly when a
Subsetdepend links to ideas of feature dependencies in data, trace mappings, and the notion that complex behavior
The concept is used in theoretical investigations of information content, constraint satisfaction, and knowledge representation, where
Dependence, Independence, Trace, Matroid, Monotone Boolean function.