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Proof Theory at the Syntax/Semantics Interface


LSA Institute, July 8-10, 2005



Richard T. Oehrle, Proof Theory Tutorial (abstract, slides)
Sat. Morning Session: Clausal Architecture and Inferences
Oystein Nilsen, A proof theoretical approach to (ad)verb placement (abstract, notes)
Raffaella Bernardi & Anna Szabolcsi, Semantically based inferences in syntax (abstract, slides, notes)
Sat. Afternoon Session: Grammar and Natural Logic
Larry Moss, Completeness in natural logic: what and why? (abstract, slides)
Yoad Winter, On inference with scopally ambiguous sentences (abstract,slides)
Edward Stabler, Natural logic in linguistic theory (abstract, notes)
Sun. Morning Session: Symmetry and Scope
Chris Barker: Direct compositionality on demand (abstract, slides)
Michael Moortgat: Grammatical invariants (abstract, slides)

Semantics plays a role in grammar in at least three guises. One, grammar calculates the meaning of a sentence from the meanings of its component parts, defined typically with reference to truth in a model. For example, No whale flies is true if and only if the intersection of the sets of whales and things that fly is empty in the model. Two, the acceptability of a syntactic construction may depend on morpho-syntactic features with a semantic flavor. For example, Under no circumstances would a whale fly is acceptable, whereas Under some circumstances would a whale fly is not, corresponding to presence vs. absence of a downward entailing feature in the preposed phrase. Such features play a pervasive and theoretically prominent role in generative syntax. Three, speakers make various inferences based on semantic knowledge. For example, No whale flies entails No blue whale flies and No whale flies high.

It is usually assumed that once a compositional model theoretic semantics is specified for all expressions, its fruits can be freely enjoyed by syntax and inferencing. An alternative is to "syntacticize semantics" by invoking proof theory. Recent work has indicated that employing proof theoretical considerations may not only be computationally advantageous but may also be enlightening from the perspective of "pure" theoretical linguistics.

This NSF sponsored workshop (BCS-0444071) took place at the 2005 Linguistic Society of America Institute. Its central goal was to explore how the use of proof theory as a mediator between model theoretic semantics and generative syntax can lead to theoretically interesting insights at the syntax/semantics interface.

Organizers:Anna Szabolcsi and Edward Stabler
Contact:Anna Szabolcsi
Linguistics
New York University
719 Broadway, Rm. 423
New York , NY 10003
Phone: 212-998-7956
Fax: 212-995-4707 (attn. Szabolcsi)
e-mail: anna.szabolcsi@nyu.edu
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