Abstract
Membrane systems (with symbol objects) are distributed controlled multiset processing systems. Non-cooperative P systems with either promoters or inhibitors (of weight not restricted to one) are known to be computationally complete. Since recently, it is known that the power of the deterministic subclass of such systems is subregular. We present new results on the weight (one and two) of promoters and inhibitors, as well as characterizing the systems with priorities only.
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Alhazov, A., Freund, R.: Asynchronous and Maximally Parallel Deterministic Controlled Non-cooperative P Systems Characterize NFIN and coNFIN. In: Martínez-del-Amor, M.Á., Păun, Gh., Pérez-Hurtado, I., Romero-Campero, F.J. (eds.) The Tenth Brainstorming Week in Membrane Computing, vol. 1, pp. 25–34. Fénix Editora, Sevilla (2012), and in: Csuhaj-Varjú, E., Gheorghe, M., Rozenberg, G., Salomaa, A., Vaszil, Gy. (eds.) CMC 2012. LNCS, vol. 7762, pp. 101–111. Springer, Heidelberg (2013)
Alhazov, A., Sburlan, D.: Ultimately Confluent Rewriting Systems. Parallel Multiset–Rewriting with Permitting or Forbidding Contexts. In: Mauri, G., Păun, Gh., Pérez-Jímenez, M.J., Rozenberg, G., Salomaa, A. (eds.) WMC 2004. LNCS, vol. 3365, pp. 178–189. Springer, Heidelberg (2005)
Freund, R., Kari, L., Oswald, M., Sosík, P.: Computationally Universal P Systems without Priorities: Two Catalysts are Sufficient. Theoretical Computer Science 330(2), 251–266 (2005)
Freund, R., Kogler, M., Oswald, M.: A General Framework for Regulated Rewriting Based on the Applicability of Rules. In: Kelemen, J., Kelemenová, A. (eds.) Computation, Cooperation, and Life. LNCS, vol. 6610, pp. 35–53. Springer, Heidelberg (2011)
Freund, R., Verlan, S.: A Formal Framework for Static (Tissue) P Systems. In: Eleftherakis, G., Kefalas, P., Păun, Gh., Rozenberg, G., Salomaa, A. (eds.) WMC 2007. LNCS, vol. 4860, pp. 271–284. Springer, Heidelberg (2007)
Ibarra, O.H., Yen, H.-C.: Deterministic Catalytic Systems are Not Universal. Theoretical Computer Science 363, 149–161 (2006)
Minsky, M.L.: Finite and Infinite Machines. Prentice Hall, New Jersey (1967)
Păun, Gh.: Membrane Computing: An Introduction. Springer (2002)
Păun, Gh., Rozenberg, G., Salomaa, A.: The Oxford Handbook of Membrane Computing. Oxford University Press (2010)
Rozenberg, G., Salomaa, A. (eds.): Handbook of Formal Languages, 3 vol. Springer (1997)
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Alhazov, A., Freund, R. (2014). Priorities, Promoters and Inhibitors in Deterministic Non-cooperative P Systems. In: Gheorghe, M., Rozenberg, G., Salomaa, A., Sosík, P., Zandron, C. (eds) Membrane Computing. CMC 2014. Lecture Notes in Computer Science(), vol 8961. Springer, Cham. https://doi.org/10.1007/978-3-319-14370-5_6
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DOI: https://doi.org/10.1007/978-3-319-14370-5_6
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