TAILIEUCHUNG - Báo cáo khoa học: "A DEFINITE CLAUSE VERSION OF CATEGORIAL GRAMMAR"

We introduce a first-order version of Categorial Grammar, based on the idea of encoding syntactic types as definite clauses. Thus, we drop all explicit requirements of adjacency between combinable constituents, and we capture wordorder constraints simply by allowing subformulae of complex types to share variables ranging over string positions. We are in this way able to account for constructiods involving discontinuous constituents. Such constructions axe difficult to handle in the more traditional version of Categorial Grammar, which is based on propositional types and on the requirement of strict string adjacency between combinable constituents. . | A DEFINITE CLAUSE VERSION OF CATEGORIAL GRAMMAR Remo Pareschi Department of Computer and Information Science University of Pennsylvania 200 s. 33rd St. Philadelphia PA 19104 and Department of Artificial Intelligence and Centre for Cognitive Science University of Edinburgh 2 Bucdeuch Place Edinburgh EH8 9LW Scotland remo@ ABSTRACT We introduce a first-order version of Categorial Grammar based on the idea of encoding syntactic types as definite clauses. Thus we drop all explicit requirements of adjacency between combinable constituents and we capture wordorder constraints simply by allowing subformulae of complex types to share variables ranging over string positions. We are in this way able to account for constructions involving discontinuous constituents. Such constructions are difficult to handle in the more traditional version of Categorial Grammar which is based on propositional types and on the requirement of strict string adjacency between combinable constituents. We show then how for this formalism parsing can be efficiently implemented as theorem proving. Our approach to encoding types as definite clauses presupposes a modification of standard Horn logic syntax to allow internal implications in definite clauses. This modification is needed to account for the types of higher-order functions and as a consequence standard Prolog-like Horn logic theorem proving is not powerful enough. We tackle this 1 am indebted to Dale Miller for help and advice. I am also grateful to Aravind Joshi Mark Steedman David Weir Bob Frank Mitch Marcus and Yves Schabes for comments and discussions. Thanks are due to Elsa Gunter and Amy Felty for advice on typesetting. Farts of this research were supported by a Sloan foundation grant to the Cognitive Science Program Univ of Pennsylvania and NSF grants MCS-8219196-CER IRI-10413 AO2 ARO grants DAA29-84-K-0061 DAA29-84-9-0027 and DARPA grant N00014-85-K0018 to CIS Univ of Pennsylvania. 1 Address for correspondence .

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