2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/151165Evans and Gazdar introduced DATR as a simple, non-monotonic language for representing natural language lexicons. Although a number of implementations of DATR exist, the full language has until now lacked an explicit, declarative semantics. This paper rectifies the situation by providing a mathematical semantics for DATR. We present a view of DATR as a language for defining certain kinds of partial functions by cases. The formal model provides a transparent treatment of DATR's notion of global context. It is shown that DATR's default mechanism can be accounted for by interpreting value descriptors as families of values indexed by paths.8 pages, LATEX, uses aclap.sty, Procs. ACL95Computation and LanguageDATR Theories and DATR Modelstext