One-dimensional Array Grammars and P Systems with Array Insertion and Deletion Rules

Rudolf Freund
(TU Wien)
Sergiu Ivanov
Marion Oswald
(TU Wien)
K.G. Subramanian

We consider the (one-dimensional) array counterpart of contextual as well as insertion and deletion string grammars and consider the operations of array insertion and deletion in array grammars. First we show that the emptiness problem for P systems with (one-dimensional) insertion rules is undecidable. Then we show computational completeness of P systems using (one-dimensional) array insertion and deletion rules even of norm one only. The main result of the paper exhibits computational completeness of one-dimensional array grammars using array insertion and deletion rules of norm at most two.

In Turlough Neary and Matthew Cook: Proceedings Machines, Computations and Universality 2013 (MCU 2013), Zürich, Switzerland, 9/09/2013 - 11/09/2013, Electronic Proceedings in Theoretical Computer Science 128, pp. 62–75.
Published: 4th September 2013.

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