Efficient simulation of tissue-like P systems by transition cell-like P systems
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In the framework of P systems, it is known that the construction of exponential number of objects in polynomial time is not enough to efficiently solve NP-complete problems. Nonetheless, it could be sufficient to create an exponential number of membranes in polynomial time. Working with P systems whose membrane structure does not increase in size, it is known that it is not possible to solve computationally hard problems (unless P = NP), basically due to the impossibility of constructing exponential number of membranes, in polynomial time, using only evolution, communication and dissolution rules. In this paper we show how a family of recognizer tissue P systems with symport/antiport rules which solves a decision problem can be efficiently simulated by a family of basic recognizer P systems solving the same problem. This simulation allows us to transfer the result about the limitations in computational power, from the model of basic cell-like P systems to this kind of tissue-like P systems.
KeywordsP systems Tissue P systems Recognizer P systems Symport/antiport rules Efficient simulation of cellular systems
The authors acknowledge the support of the project TIN2006-13425 of the Ministerio de Educación y Ciencia of Spain, cofinanced by FEDER funds, and the support of the project of excellence TIC-581 of the Junta de Andalucía.
- Díaz-Pernil D (2008) Sistemas celulares de tejidos: Formalización y eficiencia computacional. PhD Thesis, University of SevillaGoogle Scholar
- Gutiérrez-Naranjo MA, Pérez-Jiménez MJ, Riscos-Núnez A, Romero-Campero FJ, Romero-Jiménez A (2006) Characterizing tractability by cell-like membrane systems. In: Subramanian KG, Rangarajan K, Mukund M (eds) Formal models, languages and applications. World scientific, series in machine perception and artificial intelligence, vol 66, chapter 9, pp 137–154Google Scholar
- P systems http://ppage.psystems.eu/
- Păun Gh, Pérez-Jiménez MJ (2003) Recent computing models inspired from biology: DNA and membrane computing. Theoria 18(46):72–84Google Scholar
- Păun Gh, Pérez-Jiménez MJ, Riscos-Núnez A (2004) Tissue P systems with cell division. In: Păun Gh, Riscos-Núnez A, Romero-Jiménez A, Sancho-Caparrini F (eds) Second brainstorming week on membrane computing, Sevilla, Report RGNC 01/2004, pp 380–386Google Scholar