Leftist Grammars Are Non-primitive Recursive

  • Authors:
  • Tomasz Jurdziński

  • Affiliations:
  • Institute of Computer Science, University of Wrocław, Poland

  • Venue:
  • ICALP '08 Proceedings of the 35th international colloquium on Automata, Languages and Programming, Part II
  • Year:
  • 2008

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Abstract

Leftist grammars were introduced by Motwani et. al. [7], as a tool to show decidability of the accessibility problem in certain general protection systems. It is shown that the membership problem for languages defined by leftist grammars is non-primitive recursive. Therefore, by the reduction of Motwani et. al., the accessibility problem in the appropriate protection systems is non-primitive recursive as well.