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Multi-Component Tree Insertion Grammars

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Formal Grammar (FG 2009)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5591))

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Abstract

In this paper we introduce a new mildly context sensitive formalism called Multi-Component Tree Insertion Grammar. This formalism is a generalization of Tree Insertion Grammars in the same sense that Multi-Component Tree Adjoining Grammars is a generalization of Tree Adjoining Grammars. We show that this class of grammatical formalisms is equivalent to Multi-Component Tree Adjoining Grammars, and that it also defines a hierarchy of languages whose supplementary formal power between two increasing levels is more gently delivered than the one given by Multi-Component Tree Adjoining Grammars. We show that Multi-Component Tree Insertion Grammars and simple Range Concatenation Grammars are equivalent and we show how to transform a grammar of one type into an equivalent grammar of the other type. Such a transformation gives a method to build efficient parsers for Multi-Component Tree Insertion Languages.

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References

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Boullier, P., Sagot, B. (2011). Multi-Component Tree Insertion Grammars. In: de Groote, P., Egg, M., Kallmeyer, L. (eds) Formal Grammar. FG 2009. Lecture Notes in Computer Science(), vol 5591. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20169-1_3

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  • DOI: https://doi.org/10.1007/978-3-642-20169-1_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-20168-4

  • Online ISBN: 978-3-642-20169-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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