Type-logical semantics
On the Expressive Power of Abstract Categorial Grammars: Representing Context-Free Formalisms
Journal of Logic, Language and Information
Towards abstract categorial grammars
ACL '01 Proceedings of the 39th Annual Meeting on Association for Computational Linguistics
Second-Order Abstract Categorial Grammars as Hyperedge Replacement Grammars
Journal of Logic, Language and Information
Covert movement in logical grammar
Logic and grammar
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Recent discussions of grammatical architectures have distinguished two competing approaches to the syntax-semantics interface: syntactocentrism, wherein syntactic structures are mapped or transduced to semantics (and phonology), vs. parallelism, wherein semantics (and phonology) communicates with syntax via a nondirectional (or relational) interface. This contrast arises for instance in dealing with in situ operators. The aim of this paper is threefold: first, we show how the essential content of a parallel framework, convergent grammar (CVG), can be encoded within abstract categorial grammar (ACG), a generic framework which has mainly been used, until now, to encode syntactocentric architectures. Second, using such a generic framework allows us to relate the mathematical characterization of parallelism in CVG with that of syntactocentrism in mainstream categorial grammar (CG), suggesting that the distinction between parallel and syntactocentric formalisms is superficial in nature. More generally, it shows how to provide mildly context sensitive languages (MCSL), which are a clearly defined class of languages in terms of ACG, with a relational syntax-semantics interface. Finally, while most of the studies on the generative power of ACG have been related to formal languages, we show that ACG can illuminate a linguistically motivated framework such as CVG.