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Published in: Natural Computing 4/2009

01-12-2009

Efficient simulation of tissue-like P systems by transition cell-like P systems

Authors: Daniel Díaz-Pernil, Mario J. Pérez-Jiménez, Álvaro Romero-Jiménez

Published in: Natural Computing | Issue 4/2009

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Abstract

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.

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Footnotes
1
An informal overview can be found in Păun and Pérez-Jiménez (2003) and further bibliography at P system http://​ppage.​psystems.​eu/​.
 
2
This method of communication for P systems was introduced in Păun and Păun (2002).
 
Literature
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Metadata
Title
Efficient simulation of tissue-like P systems by transition cell-like P systems
Authors
Daniel Díaz-Pernil
Mario J. Pérez-Jiménez
Álvaro Romero-Jiménez
Publication date
01-12-2009
Publisher
Springer Netherlands
Published in
Natural Computing / Issue 4/2009
Print ISSN: 1567-7818
Electronic ISSN: 1572-9796
DOI
https://doi.org/10.1007/s11047-008-9102-z

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