Commutation-augmented pregroup grammars and push-down automata with cancellation

  • Authors:
  • Nissim Francez;Michael Kaminski

  • Affiliations:
  • Department of Computer Science, Technion -- Israel Institute of Technology, Haifa 32000, Israel;Department of Computer Science, Technion -- Israel Institute of Technology, Haifa 32000, Israel

  • Venue:
  • Information and Computation
  • Year:
  • 2008

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Abstract

The paper proves a pumping lemma for a certain subclass of mildly context-sensitive languages, the one defined by commutation-augmented pregroup grammars; in addition, an automaton equivalent to such grammars is introduced, augmenting push-down automata by cancellation in the bottom of its stack.