On the computational efficiency of polarizationless recognizer P systems with strong division and dissolution

Fundamenta Informaticae

Volumn 87, Issue 1, 2008, Pages 79-91

  Zandron, Claudio ^a   Leporati, Alberto ^a   Ferretti, Claudio ^a   Mauri, Giancarlo ^a   Pérez Jiménez, Mario J ^b  

^a UNIVERSITY OF MILANO BICOCCA   (Italy)

^b UNIVERSITY OF SEVILLE   (Spain)

Author keywords

3 SAT; Mmbrane dissolution; Mmbrane division; NP complete problems; P systems with active membranes

Indexed keywords

COMPUTATIONAL EFFICIENCY; MEMBRANES; POLYNOMIAL APPROXIMATION;

3-SAT; MMBRANE DISSOLUTION; MMBRANE DIVISION; NP-COMPLETE PROBLEMS; P SYSTEMS WITH ACTIVE MEMBRANES;

DISSOLUTION;

EID: 58149479732     PISSN: 01692968     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

1. Alhazov, A., Freund, R,: On efficiency of P systems with active membranes and two polarizations, Membrane Computing, Fifth International Workshop, WMC 2004 (G. Mauri, Gh. Pǎun, M. J. Péréz-Jimenez, G. Rozenberg, A. Salomaa, Eds.), LNCS 3365, Springer-Verlag, Berlin, 2005, 81-94.
2. Alhazov, A., Pérez-Jiménez, M. J.: Uniform solution to QSAT using polarizationless active membranes, Proceedings of the Fourth Brainstorming Week on Membrane Computing (M. A. Gutiérrez-Naranjo, Gh. Pǎun, A. Riscos-Núñez, F. J. Romero-Campero, Eds.), Volume 1, Fénix Editora, Sevilla, 2006, 29-40.
3. Garey, M. R., Johnson, D. S.: Computers and intractability. A guide to the theory on NP-completeness, W. H. Freeman and Company, 1979.
4. Gutiérrez-Naranjo, M. A., Pérez-Jiménez, M. J., Riscos-Núñez, A.: A fast P system for finding a balanced 2-partition, Soft Computing, 9(9), 2005, 673-678.
5. Gutiérrez-Naranjo, M. A., Pérez-Jiménez, M. J., Riscos-Núñez, A., Romero-Campero, F. J.: On the power of dissolution in P systems with active membranes, Membrane Computing, Sixth International Workshop, WMC 2005 (R. Freund, Gh. Pǎun, G. Rozenberg, A. Salomaa, Eds.), LNCS 3850, Springer-Verlag, Berlin, 2006, 224-240.
6. Gutiérrez-Naranjo, M. A., Pérez-Jiménez, M. J., Riscos-Núñez, A., Romero-Campero, F. J., Romero- Jiménez, A.: Characterizing tractability by cell-like membrane systems, in: Formal models, languages and applications (K. G. Subramanian, K. Rangarajan, M. Mukund, Eds.), Series in Machine Perception and Artificial Intelligence, Vol. 66, World Scientific, 2006, 137-154.
7. Krishna, S. N., Rama, R.: A variant of P systems with active membranes: Solving NP-complete problems, Romanian Journal of Information Science and Technology, 2(4), 1999, 357-367.
8. Mauri, G., Pérez-Jiménez, M. J., Zandron, C: On a Pǎun conjecture in membrane systems, Second International Work-Conference on the Interplay Between Natural and Artificial Computation, IWINAC 2007 (J.Mira, J. R. Álvarez, Eds.), Part I, LNCS 4527, Springer-Verlag, Berlin, 2007, 180-192.
9. Obtulowicz, A.: Deterministic P systems for solving sat problem, Romanian Journal of Information Science and Technology, 4(1-2), 2001, 551-558.
10. Papadimitriou, C.H.: Computational complexity, Addison-Wesley, 1994.
11. Pǎun, Gh.: Computing with membranes, Journal of Computer and System Sciences, 1(61), 2000, 108-143. See also Turku Centre for Computer Science - TUCS Report No. 208, 1998.
12. Pǎun, Gh.: Computing with membranes. An introduction, Bulletin of the EATCS, 67, February 1999, 139- 152.
13. Pǎun, Gh.: P systems with active membranes: Attacking NP-complete problems, Journal of Automata, Languages and Combinatorics, 6(1), 2001, 75-90.
14. Pǎun, Gh.: Membrane computing. An introduction, Springer-Verlag, Berlin, 2002.
15. Pǎun, Gh.: Further twenty six open problems in membrane computing. Proceedings of the Third Brainstorming Week on Membrane Computing (M. A. Gutiérrez-Naranjo, A. Riscos-Núñez, F. J. Romero-Campero, D. Sburlan, Eds.), Fénix Editora, Sevilla, 2005, 249-262.
16. Pǎun, Gh Rozenberg, G.: A guide to membrane computing, Theoretical Computer Science, 287(1), 2002, 73-100.
17. Pérez-Jiménez, M. J., Riscos-Núñez, A.: A linear-time solution to the knapsack problem using P systems with active membranes, Membrane Computing, Fourth International Workshop, WMC 2003 (C. Martín-Vide, Gh. Pǎun, G. Rozenberg, A. Salomaa, Eds.), LNCS 2933, Springer-Verlag, Berlin, 2004, 250-268.
18. Pérez-Jiménez, M. J., Riscos-Núñez, A.: Solving the SUBSET SUM problem by active membranes, New Generation Computing, 23(4), 2005, 367-384,
19. Pérez-Jiménez, M. J., Romero-Campero, F. J.: Attacking the COMMON ALGORITHMIC PROBLEM by recognizer P systems, Machines, Computations and Universality (M. Margenstern, Ed.), LNCS 3354, Springer- Verlag, Berlin, 2005, 304-315.
20. Pérez-Jiménez, M. J., Romero-Jiménez, A., Sancho-Caparrini, F.: A polynomial complexity class in P systems using membrane division, Proceedings of the Fifth Workshop on Descriptional Complexity of Formal Systems, DCFS 2003 (E. Csuhaj-Varjú, C. Kintala, D. Wotschke, G. Vaszil, Eds.), Computer and Automation Research Institute of the Hungarian Academy of Sciences, Budapest, 2003, 284-294.
21. Pérez-Jiménez, M. J., Romero-Jiménez, A., Sancho-Caparrini, E: The P versus NP problem through cellular computing with membranes, Aspects of Molecular Computing (N. Jonoska, Gh. Pǎun, G. Rozenberg, Eds.), LNCS 2950, Springer-Verlag, Berlin, 2004, 338-352.
22. Sosik, P.: The computational power of cell division, Natural Computing, 2(3), 2003, 287-298.
23. Zandron, C., Ferretti, C., Mauri, G.: Solving NP-complete problems using P systems with active membranes, Unconventional Models of Computation (I. Antoniou, C.S. Calude, M.J. Dinneen, Eds.), Springer-Verlag, Berlin, 2000, 289-301.
24. The P systems Web page: http://ppage.psystems.eu/