Abstract
In the framework of membrane computing, several interesting results concerning frontiers of efficiency between the complexity classes P and NP have been found by using different ingredients. One of the main characteristics of cell-like membrane systems is their rooted tree-like structure, where a natural parent-children membrane relationship exists, and objects can travel through the membranes. Separation rules are used as a method to obtain an exponential workspace in terms of membranes in polynomial time. Inspired by cell meiosis, objects from the original membrane are distributed between the two new membranes. In this work, P systems with evolutional symport/antiport rules and separation rules are used to give a solution to SAT, a well known NP-complete problem. One of the advantages of this solution is the use of the environment as a passive agent.
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Acknowledgements
This work was supported by the following research project: FEDER/Junta de Andalucía - Paidi 2020/ _Proyecto (P20_00486). D. Orellana-Martín acknowledges Contratación de Personal Investigador Doctor. (Convocatoria 2019) 43 Contratos Capital Humano Línea 2. Paidi 2020, supported by the European Social Fund and Junta de Andalucía.
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Orellana-Martín, D., Valencia-Cabrera, L., Pérez-Jiménez, M.J. (2022). P Systems with Evolutional Communication and Separation Rules. In: Durand-Lose, J., Vaszil, G. (eds) Machines, Computations, and Universality. MCU 2022. Lecture Notes in Computer Science, vol 13419. Springer, Cham. https://doi.org/10.1007/978-3-031-13502-6_10
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