P systems with limited number of objects

Author:

Alhazov Artiom,Freund RudolfORCID,Ivanov Sergiu

Abstract

AbstractP systems are a model of compartmentalized multiset rewriting inspired by the structure of living cells and the way they function. In this paper, we focus of a variant in P systems in which membranes have limited capacity, i.e., the number of objects they may hold is limited by a fixed bound. This feature corresponds to an important physical property of cellular compartments. We propose several possible semantics of limited capacity and show that one of them allows real-time simulations of partially blind register machines, while the other one allows for obtaining computational completeness.

Funder

TU Wien

Publisher

Springer Science and Business Media LLC

Reference15 articles.

1. Alhazov, A. (2006). P systems without multiplicities of symbol-objects. Information Processing Letters, 100(3), 124–129.

2. Alhazov, A., & Freund, R. (2014). P systems with toxic objects. In Gheorghe, M., Rozenberg, G., Salomaa, A., Sosík, P., & Zandron C. (Eds.), Membrane Computing – 15th International Conference, CMC 2014, Prague, Czech Republic, August 20–22, 2014, Revised Selected Papers, volume 8961 of Lecture Notes in Computer Science, pages 99–125. Springer.

3. Alhazov, A., & Freund, R. (2014). Length P systems. Fundamenta Informaticae, 134(1–2), 17–37.

4. Alhazov, A., Freund, R., & Ivanov, S. (2020). P systems with limited capacity. In David Orellana-Martín, Gheorghe Păun, Agustín Riscos-Núñez, and Ignacio Pérez-Hurtado, editors, Proceedings 18th Brainstorming Week on Membrane Computing, Sevilla, February 4–7, 2020, pages 33–47. RGNC REPORT 1/2020, Research Group on Natural Computing, Universidad de Sevilla.

5. Alhazov, A., Freund, R., & Ivanov, S. (2020). P systems with limiting the number of objects in membranes. In Rudolf Freund and Tseren-Onolt Ishdorj, editors, Electronic Proceedings of the International Conference on Membrane Computing 2020 (ICMC 2020), Wien, September 14–17, 2020, pp. 83–98. TU Wien.

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