Computational Power of P Systems with Small Size Insertion and Deletion Rules

Alexander Krassovitskiy; Yurii Rogozhin; Sergey Verlan

doi:10.4204/eptcs.1.10

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arXiv · 0906.3119

Computational Power of P Systems with Small Size Insertion and Deletion Rules

Alexander Krassovitskiy·Yurii Rogozhin·Sergey Verlan

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Abstract

Recent investigations show insertion-deletion systems of small size that are not complete and cannot generate all recursively enumerable languages. However, if additional computational distribution mechanisms like P systems are added, then the computational completeness is achieved in some cases. In this article we take two insertion-deletion systems that are not computationally complete, consider them in the framework of P systems and show that the computational power is strictly increased by proving that any recursively enumerable language can be generated. At the end some open problems are presented.

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BibTeX RIS

Alexander Krassovitskiy, Yurii Rogozhin, Sergey Verlan. 2009-06-17. Computational Power of P Systems with Small Size Insertion and Deletion Rules. https://doi.org/10.4204/eptcs.1.10

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