Abstract
Many NP-complete problems can be viewed as special cases of the Common Algorithmic Problem (CAP). In a precise sense, which will be defined in the paper, one may say that CAP has a property of local universality. In this paper we present an effective solution to the decision version of the CAP using a family of recognizer P systems with active membranes. The analysis of the solution presented here will be done from the point of view of complexity classes in P systems.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Gutiérrez-Naranjo, M.A., Pérez-Jiménez, M.J., Riscos-Núñez, A.: Towards a programming language in cellular computing. In: Pǎun, G., Riscos-Núñez, A., Romero-Jiménez, A., Sancho-Caparrini, F. (eds.) Proceedings of the Second Brainstorming Week on Membrane Computing, Report RGNC 01/04, pp. 247–257. University of Seville, Spain (2004)
Head, T., Yamamura, M., Gal, S.: Aqueous computing: writing on molecules. In: Proceedings of the Congress on Evolutionary Computation 1999, pp. 1006–1010. IEEE Service Center, Piscataway (1999)
Pǎun, G.: Membrane Computing. An Introduction. Springer, Heidelberg (2002)
Pǎun, G.: Computing with membranes. Journal of Computer and Systems Sciences 61(1), 108–143 (2000)
Pérez-Jiménez, M.J., Romero-Jiménez, A., Sancho-Caparrini, F.: Teoría de la Complejidad en modelos de computacion celular con membranas, Ed. Kronos (2002)
Pérez-Jiménez, M.J., Riscos-Núñez, A.: Solving the Subset-Sum problem by active membranes (submitted)
Pérez-Jiménez, M.J., Riscos-Núñez, A.: A linear-time solution for the Knapsack problem using active membranes. In: Martín-Vide, C., Mauri, G., Păun, G., Rozenberg, G., Salomaa, A. (eds.) WMC 2003. LNCS, vol. 2933, pp. 140–152. Springer, Heidelberg (2004)
Pérez-Jiménez, M.J., Romero-Campero, F.J.: A CLIPS simulator for recognizer P systems with active membranes. In: Pǎun, G., Riscos-Núnez, A., Romero-Jiménez, A., Sancho-Caparrioni, F. (eds.) Proceedings of the Second Brainstorming Week on Membrane Computing, Report RGNC 01/04, pp. 387–413. University of Seville, Spain (2004)
Pérez-Jiménez, M.J., Romero-Jiménez, A., Sancho-Caparrini, F.: A polynomial complexity class in P systems using membrane division. In: Csuhaj-Varjú, E., Kintala, C., Wotschke, D., Vaszil, G. (eds.) Proceedings of the Fifth International Workshop on Descriptional Complexity of Formal Systems, pp. 284–294 (2003)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Pérez Jiménez, M.J., Romero Campero, F.J. (2005). Attacking the Common Algorithmic Problem by Recognizer P Systems. In: Margenstern, M. (eds) Machines, Computations, and Universality. MCU 2004. Lecture Notes in Computer Science, vol 3354. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31834-7_25
Download citation
DOI: https://doi.org/10.1007/978-3-540-31834-7_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25261-0
Online ISBN: 978-3-540-31834-7
eBook Packages: Computer ScienceComputer Science (R0)