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Computational Complexity of Simple P Systems

Ciobanu G., Resios A.

Fundamenta Informaticae

2008

Vol. 87, nr 1

49-59

This paper introduces a new class of membrane systems called simple P systems, and studies their computational complexity. We start by presenting the knapsack problem and its time complexity. Then we study the computational complexity of simple P systems by considering the allocation of resources enabling the parallel application of the rules. We show that the decision version of the resource allocation problem for simple P systems is NP-complete, by using the knapsack problem.