A Resource Sensitive Interpretation of Lexical Functional Grammar
Author: Johnson, M.
Source: Journal of Logic, Language and Information, Volume 8, Number 1, January 1999 , pp. 45-81(37)
Abstract:This paper investigates whether the fundamental linguistic insights and intuitions of Lexical Functional Grammar (LFG), which is usually presented as a ``constraint-based'' linguistic theory, can be reformulated in a ``resource sensitive'' framework using a substructural modal logic. In the approach investigated here, LFG's f-descriptions are replaced with expressions from a multi-modal propositional logic (with permutation and possibly limited contraction). In effect, the feature structure ``unification'' basis of LFG's f-structures is replaced with a very different resource based mechanism. It turns out that some linguistic analyses that required non-monotonic devices in LFG (such as the ``constraint equations'' in the Andrews (1982) analysis of Icelandic) can be straightforwardly expressed in the framework presented here. Moreover, a Curry–Howard correspondence between proofs in this logic and -terms provides a semantic interpretation as a by-product of the process of showing syntactic well-formedness.
Document Type: Regular Paper
Affiliations: Department of Cognitive and Linguistic Sciences, Brown University, Box 1978, Providence, RI 02912, U.S.A. (E-mail: Email: firstname.lastname@example.org
Publication date: January 1, 1999