Artículo
Computational efficiency of dissolution rules in membrane systems
Autor/es | Gutiérrez Naranjo, Miguel Ángel
Pérez Jiménez, Mario de Jesús Riscos Núñez, Agustín Romero Campero, Francisco José |
Departamento | Universidad de Sevilla. Departamento de Ciencias de la Computación e Inteligencia Artificial |
Fecha de publicación | 2006 |
Fecha de depósito | 2017-02-06 |
Publicado en |
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Resumen | Trading (in polynomial time) space for time in the framework of membrane systems is not sufficient to
efficiently solve computationally hard problems. On the one hand, an exponential number of objects
generated in ... Trading (in polynomial time) space for time in the framework of membrane systems is not sufficient to efficiently solve computationally hard problems. On the one hand, an exponential number of objects generated in polynomial time is not sufficient to solve NP-complete problems in polynomial time. On the other hand, when an exponential number of membranes is created and used as workspace, the situation is very different. Two operations in P systems (membrane division and membrane creation) capable of constructing an exponential number of membranes in linear time are studied in this paper. NP-complete problems can be solved in polynomial time using P systems with active membranes and with polarizations, but when electrical charges are not used, then dissolution rules turn out to be very important. We show that in the framework of P systems with active membranes but without polarizations and in the framework of P systems with membrane creation, dissolution rules play a crucial role from the computational efficiency point of view. |
Agencias financiadoras | Ministerio de Educación y Ciencia (MEC). España |
Identificador del proyecto | TIN2005-09345-C04-01 |
Cita | Gutiérrez Naranjo, M.Á., Pérez Jiménez, M.d.J., Riscos Núñez, A. y Romero Campero, F.J. (2006). Computational efficiency of dissolution rules in membrane systems. International Journal of Computer Mathematics, 83 (7), 593-611. |
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