This paper discusses research frontiers of membrane computing by presenting current open problems and research topics, together with the relevant background and motivation. © World Scientific Publishing Company.

Kamala Krithivasan

Ajeesh Ramanujan

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IIT Madras is a public technical and research university located in Chennai, Tamil Nadu. Founded in 1959, it is recognised as an Institute of National Importance.

IIT Madras has been ranked as the top engineering institute in India for four years in a row by the National Institutional Ranking Framework of the MHRD

It currently offers undergraduate, postgraduate and research degrees across 16 disciplines in Engineering, Sciences, Humanities and Management. About 596 faculty belonging to science and engineering departments and centres of the Institute are engaged in teaching, research and industrial consultancy.

IIT Madras

Research frontiers of membrane computing: open problems and research topics

International Journal of Foundations of Computer Science

We define external and internal array contextual P systems, which generate rectangular arrays. We also introduce external array contextual P systems with erased contexts. Some properties of these systems are discussed. We obtain the relation between external array contextual P systems and external array contextual grammars with regular control.

International Journal of Computer Mathematics

Contextual array P systems

We consider array languages (sets of pictures consisting of symbols placed in the lattice points of the 2D grid) and the possibility to handle them with P systems. After proving binary normal forms for array matrix grammars (which, even in the case when no appearance checking is used, are known to generate the array languages of arbitrary array grammars), we prove that the P systems with context-free rules (with three membranes and no control on the communication or the use of rules) are computationally universal, able to generate all computable array languages. Some open problems are also formulated. © 2003 Kluwer Academic Publishers.

Journal	International Journal of Foundations of Computer Science
Publisher	World Scientific Publishing Co. Pte Ltd
ISSN	01290541
Open Access	Yes