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Two Equivalent Regularizations for Tree Adjoining Grammars

Identifieur interne : 000E44 ( Main/Exploration ); précédent : 000E43; suivant : 000E45

Two Equivalent Regularizations for Tree Adjoining Grammars

Auteurs : Anna Kasprzik

Source :

RBID : ISTEX:B71467CCB0267521D8E3E195076903E90DAB8787

Abstract

Abstract: We present and compare two methods of how to make derivation in a Tree Adjoining Grammar a regular process (in the Chomsky hierarchy sense) without loss of expressive power. One regularization method is based on an algebraic operation called Lifting, while the other exploits an additional spatial dimension by transforming the components of a TAG into three-dimensional trees. The regularized grammars generate two kinds of “encoded” trees, from which the intended ones can be reconstructed by a simple decoding function. We can show the equivalence of these two two-step approaches by giving a direct translation between lifted and three-dimensional trees and proving that via this translation it is possible to switch between the encodings without losing the information necessary for the reconstruction of the intended trees.

Url:
DOI: 10.1007/978-3-642-00982-2_40


Affiliations:


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