IRCS Technical Reports Series

Document Type

Technical Report

Date of this Version

October 1997

Comments

University of Pennsylvania Institute for Research in Cognitive Science Technical Report No. IRCS-97-15.

Abstract

A type of ‘non-traditional constituents’ motivates an extended class of Combinatory Categorial Grammars (CCG), CCGs with Generalized Type-Raised Categories (CCG-GTRC) involving variables. Although the class of standard CCGs is proved to be equivalent to Linear Indexed Grammars and Tree Adjoining Grammars, use of variables can increase the power beyond these grammars. In order to establish a desired context with respect to computational complexity, this paper shows that there is a subclass of CCG-GTRC which is still weekly equivalent to the standard CCGs. The idea behind the proof is that the behavior of GTRCs can be simulated by appropriately setting the lexicon of a standard CCG.

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Date Posted: 26 August 2006