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A new approach to analyse Coupled-Context-Free languages

  • Günter Hotz
  • Gisela Pitsch
Contributed Papers Formal Languages
Part of the Lecture Notes in Computer Science book series (LNCS, volume 969)

Abstract

Coupled-Context-Free Grammars are a natural generalization of context-free ones obtained by combining nonterminals to corresponding parentheses which can only be substituted simultaneously. Refering to their generative capacity we obtain an infinite hierarchy of languages that comprises the context-free ones as the first and all those generated by Tree Adjoining Grammars (TAGs) as the second element. Here, we present a completely new approach to analyse this language hierarchy. It solves the word problem for the class of languages generated by TAGs in time O(n6), n length of the input, by reducing it to the analysis of sequences of parentheses.

Keywords

Word Problem Representation Theorem Congruence Relation Derivation Tree Input Word 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Günter Hotz
    • 1
  • Gisela Pitsch
    • 1
  1. 1.FB 14 - InformatikUniversität des SaarlandesSaarbrückenGermany

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