A Deductive Account of Quantification in LFG
| dc.creator | Dalrymple, Mary | |
| dc.creator | Lamping, John | |
| dc.creator | Pereira, Fernando | |
| dc.creator | Saraswat, Vijay | |
| dc.date | 1994-04-27 | |
| dc.date | 1994-05-27 | |
| dc.date.accessioned | 2026-07-07T08:58:34Z | |
| dc.date.available | 2026-07-07T08:58:34Z | |
| dc.description | The relationship between Lexical-Functional Grammar (LFG) functional structures (f-structures) for sentences and their semantic interpretations can be expressed directly in a fragment of linear logic in a way that explains correctly the constrained interactions between quantifier scope ambiguity and bound anaphora. The use of a deductive framework to account for the compositional properties of quantifying expressions in natural language obviates the need for additional mechanisms, such as Cooper storage, to represent the different scopes that a quantifier might take. Instead, the semantic contribution of a quantifier is recorded as an ordinary logical formula, one whose use in a proof will establish the scope of the quantifier. The properties of linear logic ensure that each quantifier is scoped exactly once. Our analysis of quantifier scope can be seen as a recasting of Pereira's analysis (Pereira, 1991), which was expressed in higher-order intuitionistic logic. But our use of LFG and linear logic provides a much more direct and computationally more flexible interpretation mechanism for at least the same range of phenomena. We have developed a preliminary Prolog implementation of the linear deductions described in this work. | |
| dc.description | 27 pages, extensively revised | |
| dc.identifier | https://arxiv.org/abs/cmp-lg/9404009 | |
| dc.identifier | http://arxiv.org/abs/cmp-lg/9404009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147375 | |
| dc.subject | Computation and Language | |
| dc.title | A Deductive Account of Quantification in LFG | |
| dc.type | text |