NII Technical Report (NII-2013-003E)

Title Multi-dimensional Trees and a Chomsky-Schützenberger-Weir Representation Theorem for Simple Context-Free Tree Grammars
Authors Makoto Kanazawa
Abstract David J. Weir proved a Chomsky-Schützenberger-like representation theorem for the string languages of tree-adjoining grammars. This paper presents a generalization of this theorem to the string languages of simple (i.e., linear and non-deleting) context-free tree grammars. This result is obtained through a natural generalization of the original Chomsky-Schützenberger theorem to the tree languages of simple context-free tree grammars. We use James Rogers's notion of multi-dimensional trees to state this latter theorem in a very general, abstract form.
Language English
Published Nov 22, 2013
Pages 60p
PDF File 13-003E.pdf

NII Technical Reports
National Institute of Informatics