Abstract
Tree Adjoining Grammars (TAG) and Linear Indexed Grammars (LIG) are extensions of Context Free Grammars that generate the class of Tree Adjoining Languages. Taking advantage of this property, and providing a method for translating a TAG into a LIG, we define several parsing algorithms for TAG on the basis of their equivalent LIG parsers. We also explore why some practical optimizations for TAG parsing cannot be applied to the case of LIG.
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