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Minimal cooperation as a way to achieve the efficiency in cell-like membrane systems

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Abstract

Cooperation is doubtless a relevant ingredient on rewriting rules based computing models. This paper provides an overview on both classical and newest results studying how cooperation among objects influences the ability of cell-like membrane systems to solve computationally hard problems in an efficient way. In this paper, two types of such membrane systems will be considered: (a) polarizationless P systems with active membranes without dissolution rules when minimal cooperation is permitted in object evolution rules; and (b) cell-like P systems with symport/antiport rules of minimal length. Specifically, assuming that P is not equal to NP, several frontiers of the efficiency are obtained in these two computing frameworks, in such manner that each borderline provides a tool to tackle the P versus NP problem.

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Acknowledgements

This work is supported by the research project TIN2017-89842-P, cofinanced by Ministerio de Economía, Industria y Competitividad (MINECO) of Spain, through the Agencia Estatal de Investigación (AEI), and by Fondo Europeo de Desarrollo Regional (FEDER) of the European Union. The authors also acknowledge the Grants No 61320106005 of the National Natural Science Foundation of China.

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Authors and Affiliations

  1. Research Group on Natural Computing, Department of Computer Science and Artificial Intelligence, Universidad de Sevilla, Avda. Reina Mercedes s/n, 41012, Seville, Spain

    David Orellana-Martín, Luis Valencia-Cabrera, Agustín Riscos-Núñez & Mario J. Pérez-Jiménez

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  1. David Orellana-Martín
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  2. Luis Valencia-Cabrera
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  3. Agustín Riscos-Núñez
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  4. Mario J. Pérez-Jiménez
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Correspondence to David Orellana-Martín.

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Orellana-Martín, D., Valencia-Cabrera, L., Riscos-Núñez, A. et al. Minimal cooperation as a way to achieve the efficiency in cell-like membrane systems. J Membr Comput 1, 85–92 (2019). https://doi.org/10.1007/s41965-018-00004-9

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