Publication
A Complete and Recursive Feature Theory
Rolf Backofen; Gert Smolka
DFKI, DFKI Research Reports (RR), Vol. 92-30, 1992.
Abstract
Various feature descriptions are being employed in logic programming languages and constrained-based grammar formalisms. The common notational primitive of these descriptions are functional attributes called features. The descriptions considered in this paper are the possibly quantified first-order formular obtained from a signature of binary and unary predicates called features and sorts, respectively. We establish a first-order theory FT by means of three axiom schemes, show its completeness, and construct three elementarily equivalent models.
One of the models consists of so-called feature graphs, a data structure common in computational linguistics. The other two models consist of so-called feature trees, a record-like data structure generalizing the trees corresponding to first-order terms.
Our completeness proof exhibits a terminating simplification system deciding validity and satisfiability of possibly quantified feature descriptions.