Further Results on Insertion-Deletion Systems with One-Sided Contexts

  • Authors:
  • Alexander Krassovitskiy;Yurii Rogozhin;Serghey Verlan

  • Affiliations:
  • Research Group on Mathematical Linguistics, Rovira i Virgili University, Tarragona, Spain 43005;Research Group on Mathematical Linguistics, Rovira i Virgili University, Tarragona, Spain 43005 and Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chişină ...;Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chişinău, Moldova MD-2028 and LACL, Département Informatique, Université Paris Est, Créteil, ...

  • Venue:
  • Language and Automata Theory and Applications
  • Year:
  • 2008

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Abstract

In this article we continue the investigation of insertion-deletion systems having a context only on one side of insertion or deletion rules. We show a counterpart of the results obtained in (Matveevici et al., 2007) by considering corresponding systems and exchanging deletion and insertion parameters. We prove three computational completeness results and one non-completeness result for these systems. We also solve the remaining open problem concerning the generative power of insertion-deletion systems having both contexts by proving the computational completeness of systems having a context-free insertion of two symbols and a contextual deletion of one symbol.