Abstract
We consider extended variants of spiking neural P systems and show how these extensions of the original model allow for easy proofs of the computational completeness of extended spiking neural P systems and for the characterization of semilinear sets and regular languages by finite extended spiking neural P systems (defined by having only finite checking sets in the rules assigned to the cells) with only a bounded number of neurons.
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References
Chen, H., Freund, R., Ionescu, M., Păun, G., Pé rez-Jiménez, M.J.: On String Languages Generated by Spiking Neural P Systems. In: Gutiérrez-Naranjo, M.A., Păun, G., Riscos-Núñez, A., Romero-Campero, F.J. (eds.) Fourth Brainstorming Week on Membrane Computing, RGNC REPORT 02/2006, Research Group on Natural Computing, Sevilla University, Fénix Editora, vol. I, pp. 169–194 (2006)
Dassow, J., Păun, G.: Regulated Rewriting in Formal Language Theory. Springer, Berlin (1989)
Fernau, H., Freund, R., Oswald, M., Reinhardt, K.: Refining the Nonterminal Complexity of Graph-controlled Grammars. In: Mereghetti, C., Palano, B., Pighizzini, G., Wotschke, D. (eds.) Seventh International Workshop on Descriptional Complexity of Formal Systems, pp. 110–121 (2005)
Freund, R., Oswald, M.: P Systems with Activated/Prohibited Membrane Channels. In: Păun, G., Rozenberg, G., Salomaa, A., Zandron, C. (eds.) WMC 2002. LNCS, vol. 2597, pp. 261–269. Springer, Heidelberg (2003)
Freund, R., Oswald, M.: GP Systems with Forbidding Context. Fundamenta Informaticae 49, 81–102 (2002)
Freund, R., Păun, G.: From Regulated Rewriting to Computing with Membranes: Collapsing Hierarchies. Theoretical Computer Science 312, 143–188 (2004)
Freund, R., Păun, G., Pérez-Jiménez, M.J.: Tissue-like P systems with channel states. Theoretical Computer Science 330, 101–116 (2004)
Gerstner, W., Kistler, W.: Spiking Neuron Models. Single Neurons, Populations, Plasticity. Cambridge Univ. Press, Cambridge (2002)
Ibarra, O.H., Păun, A., Păun, G., Rodrí guez-Patón, A., Sosík, P., Woodworth, S.: Normal Forms for Spiking Neural P Systems. In: Gutiérrez-Naranjo, M.A., Păun, G., Riscos-Nú ñez, A., Romero-Campero, F.J. (eds.) Fourth Brainstorming Week on Membrane Computing, RGNC REPORT 02/2006, Research Group on Natural Computing, Sevilla University, Fénix Editora, vol. II, pp. 105–136 (2006)
Ionescu, M., Păun, G., Yokomori, T.: Spiking neural P systems. Fundamenta Informaticae 71(2-3), 279–308 (2006)
Maass, W.: Computing with spikes. Special Issue on Foundations of Information Processing of TELEMATIK 8(1), 32–36 (2002)
Maass, W., Bishop, C. (eds.): Pulsed Neural Networks. MIT Press, Cambridge (1999)
Martín-Vide, C., Pazos, J., Păun, G., Rodríguez-Patón, A.: A new class of symbolic abstract neural nets: Tissue P systems. In: H. Ibarra, O., Zhang, L. (eds.) COCOON 2002. LNCS, vol. 2387, pp. 290–299. Springer, Heidelberg (2002)
Minsky, M.L.: Computation: Finite and Infinite Machines. Prentice-Hall, Englewood Cliffs (1967)
Păun, G.: Computing with Membranes: An Introduction. Springer, Berlin (2002)
Păun, G., Pérez-Jiménez, M.J., Rozenberg, G.: Spike trains in spiking neural P systems. Intern. J. Found Computer Sci. (to appear, 2006) (also available at [20])
Păun, G., Pérez-Jiménez, M.J., Rozenberg, G.: Infinite spike trains in spiking neural P systems (submitted, 2006)
Păun, G., Sakakibara, Y., Yokomori, T.: P systems on graphs of restricted forms. Publicationes Mathematicae Debrecen 60, 635–660 (2006)
Rozenberg, G., Salomaa, A. (eds.): Handbook of Formal Languages (3 volumes). Springer, Berlin (1997)
The P Systems Web Page: http://psystems.disco.unimib.it
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Alhazov, A., Freund, R., Oswald, M., Slavkovik, M. (2006). Extended Spiking Neural P Systems. In: Hoogeboom, H.J., Păun, G., Rozenberg, G., Salomaa, A. (eds) Membrane Computing. WMC 2006. Lecture Notes in Computer Science, vol 4361. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11963516_8
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DOI: https://doi.org/10.1007/11963516_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69088-7
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