On the synchronized derivation depth of context-free grammars

  • Authors:
  • Franziska Biegler;Kai Salomaa

  • Affiliations:
  • Department of Computer Science, University of Western Ontario, London, ON, N6A 5B7, Canada;School of Computing, Queens University, Kingston, ON K7L 3N6, Canada

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2009

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Abstract

We consider depth of derivations as a complexity measure for synchronized and ordinary context-free grammars. This measure differs from the earlier considered synchronization depth in that it counts the depth of the entire derivation tree. We consider (non-)existence of trade-offs when using synchronized grammars as opposed to non-synchronized grammars and establish lower bounds for certain classes of linear context-free languages.