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Nonterminal complexity of tree controlled grammars
Authors:S. Turaev  J. Dassow  M. Selamat
Affiliation:
  • a Faculty of Computer Science and Information Technology, University Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
  • b Faculty of Computer Science, Otto-von-Guericke University Magdeburg, D-39016 Magdeburg, Germany
  • Abstract:This paper studies the nonterminal complexity of tree controlled grammars. It is proved that the number of nonterminals in tree controlled grammars without erasing rules leads to an infinite hierarchy of families of tree controlled languages, while every recursively enumerable language can be generated by a tree controlled grammar with erasing rules and at most nine nonterminals.
    Keywords:
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