On the height of derivation trees

  • Werner Kuich
  • Helmut Prodinger
  • Friedrich J. Urbanek
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 71)


Derivation trees generated by context-free grammars with regular parallel control language are considered. The generating function of the derivation trees counted according to height and length of yield is rational and the asymptotic behaviour of the average height is of the form g(n).n, g(n) periodic and bounded.


Average Height Formal Power Series Derivation Tree Finite Deterministic Automaton Finite Control 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1979

Authors and Affiliations

  • Werner Kuich
    • 1
  • Helmut Prodinger
    • 1
  • Friedrich J. Urbanek
    • 1
  1. 1.Institut für Mathematische Logik und Formale Sprachen Technische Universität WienWien

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