A parallel context-free derivation hierarchy

  • Klaus Reinhardt
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1684)


We consider the number of parallel derivation steps as complexity measure for context-free languages and show that a strict and dense hierarchy is obtained between logarithmic and linear (arbitrary) tree height. We hereby improve a result of Gabarro. Furthermore we give a non-regular language with logarithmic tree height disproving a conjecture of Culik and Maurer. As a new method we use counter-representations, where the successor relation can be handled as the complement of context-free languages.


Tree Height Turing Machine Regular Language Derivation Tree Pushdown Automaton 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Klaus Reinhardt
    • 1
  1. 1.Wilhelm-Schickhard Institut für InformatikUniversität TübingenTübingenGermany

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