(Tissue) P Systems with Anti-Membranes

Alhazov Artiom; Freund Rudolf; Ivanov Sergiu

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ALHAZOV, Artiom, FREUND, Rudolf, IVANOV, Sergiu. (Tissue) P Systems with Anti-Membranes. In: Brainstorming Week On Membrane Computing, 5-8 februarie 2019, Sevilla. Sevilla, Spania: Universidad de Sevilla, 2019, Ediția a 17-a, pp. 29-40.

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Brainstorming Week On Membrane Computing
Ediția a 17-a, 2019

Masa rotundă "Seventeenth Brainstorming Week on Membrane Computing"
Sevilla, Spania, 5-8 februarie 2019

(Tissue) P Systems with Anti-Membranes

Pag. 29-40

Alhazov Artiom¹, Freund Rudolf², Ivanov Sergiu³⁴

¹ Vladimir Andrunachievici Institute of Mathematics and Computer Science,
² Technical University of Vienna,
³ IBISC, Universite Evry,
⁴ Universitatea Paris-Saclay

Disponibil în IBN: 8 mai 2021

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The concept of a matter object being annihilated when meeting its corresponding anti-matter object is taken over for membranes as objects and anti-membranes as the corresponding annihilation counterpart in P systems. Natural numbers can be represented by the corresponding number of membranes with a speci c label. Computational completeness in this setting then can be obtained with using only elementary membrane division rules, without using objects. A similar result can be obtained for tissue P systems with cell division rules and cell / anti-cell annihilation rules. In both cases, as derivation modes we may take the standard maximally parallel derivation modes as well as any of the maximally parallel set derivation modes (non-extendable (multi)sets of rules, (multi)sets with maximal number of rules, (multi)sets of rules a ecting the maximal number of objects).

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