P Systems with Minimal Insertion and Deletion
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ALHAZOV, Artiom, KRASSOVITSKIY, Alexander, ROGOZHIN, Yurii, VERLAN, Sergey. P Systems with Minimal Insertion and Deletion. In: Brainstorming Week on Membrane Computing, 2-6 februarie 2009, Sevilla. Sevilla, Spania: Fénix Editora, 2009, Ediția a 7-a, pp. 9-21.
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Brainstorming Week on Membrane Computing
Ediția a 7-a, 2009
Masa rotundă "Seventh Brainstorming Week on Membrane Computing"
Sevilla, Spania, 2-6 februarie 2009

P Systems with Minimal Insertion and Deletion


Pag. 9-21

Alhazov Artiom12, Krassovitskiy Alexander3, Rogozhin Yurii32, Verlan Sergey4
 
1 Hiroshima University,
2 Institute of Mathematics and Computer Science ASM,
3 Universitat Rovira i Virgili - La universitat pública de Tarragona,
4 Université Paris-Est-Créteil
 
 
Disponibil în IBN: 16 mai 2021


Rezumat

In this paper we consider insertion-deletion P systems with priority of deletion over the insertion.We show that such systems with one symbol context-free insertion and deletion rules are able to generate PsRE. If one-symbol one-sided context is added to insertion or deletion rules but no priority is considered, 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 MAT.