Local binding

Local binding is a notion of binding theory : alpha locally binds beta iff alpha binds beta, and for all gamma, if gamma binds beta then either gamma binds alpha or gamma is alpha. In other words: alpha locally binds beta iff alpha is the closest binder of beta. Consequently, beta is locally A-bound if its local binder occupies an A-position, and locally A-bar-bound if its closest binder is in an A-bar position.

Link
Utrecht Lexicon of Linguistics