  In this paper, we present an alternative approach to multiple inheritance for
typed feature structures. In our approach, a feature structure can be
associated with several types coming from different hierarchies (dimensions).
In case of multiple inheritance, a type has supertypes from different
hierarchies. We contrast this approach with approaches based on a single type
hierarchy where a feature structure has only one unique most general type, and
multiple inheritance involves computation of greatest lower bounds in the
hierarchy. The proposed approach supports current linguistic analyses in
constraint-based formalisms like HPSG, inheritance in the lexicon, and
knowledge representation for NLP systems. Finally, we show that
multi-dimensional inheritance hierarchies can be compiled into a Prolog term
representation, which allows to compute the conjunction of two types
efficiently by Prolog term unification.
