P systems with minimal insertion and deletion

  • Authors:
  • Artiom Alhazov;Alexander Krassovitskiy;Yurii Rogozhin;Sergey Verlan

  • Affiliations:
  • IEC, Department of Information Engineering, Graduate School of Engineering, Hiroshima University, Higashi-Hiroshima 739-8527, Japan and Institute of Mathematics and Computer Science, Academy of Sc ...;Research Group on Mathematical Linguistics, Rovira i Virgili University, Av. Catalunya, 35, Tarragona 43002, Spain;Research Group on Mathematical Linguistics, Rovira i Virgili University, Av. Catalunya, 35, Tarragona 43002, Spain and Institute of Mathematics and Computer Science, Academy of Sciences of Moldova ...;LACL, Département Informatique, Université Paris Est, 61 av. Général de Gaulle, 94010 Créteil, France and Institute of Mathematics and Computer Science, Academy of Science ...

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2011

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Abstract

In this paper, we consider insertion-deletion P systems with priority of deletion over insertion. We show that such systems with one-symbol context-free insertion and deletion rules are able to generate Parikh sets of all recursively enumerable languages (PsRE). If a one-symbol one-sided context is added to the insertion or deletion rules, then all recursively enumerable languages can be generated. The same result holds if a deletion of two symbols is permitted. We also show that the priority relation is very important, and in its absence the corresponding class of P systems is strictly included in the family of matrix languages (MAT).