P Systems with Randomized Right-hand Sides of Rules

Alhazov Artiom; Freund Rudolf; Ivanov Sergiu

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ALHAZOV, Artiom, FREUND, Rudolf, IVANOV, Sergiu. P Systems with Randomized Right-hand Sides of Rules. In: Brainstorming Week On Membrane Computing, 31 ianuarie - 3 februarie 2017, Sevilla. Sevilla, Spania: Sevilla University, 2017, Ediția a 15-a, pp. 13-41. ISBN 978-84-946316-1-0.

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Brainstorming Week On Membrane Computing
Ediția a 15-a, 2017

Masa rotundă "15th Brainstorming Week on Membrane Computing"
Sevilla, Spania, 31 ianuarie - 3 februarie 2017

P Systems with Randomized Right-hand Sides of Rules

Pag. 13-41

Alhazov Artiom¹², Freund Rudolf³, Ivanov Sergiu⁴⁵

¹ Institute of Mathematics and Computer Science ASM,
² Huazhong University of Science and Technology,
³ Faculty of Informatics, TU Wien,
⁴ University of Paris-Est ,
⁵ Necunoscută, Franţa

Disponibil în IBN: 14 mai 2021

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P systems are a model of hierarchically compartmentalized multiset rewriting. We introduce a novel kind of P systems in which rules are dynamically constructed in each step by non-deterministic pairing of left-hand and right-hand sides. We de ne three variants of right-hand side randomization and compare each of them with the power of conventional P systems. It turns out that all three variants enable non-cooperative P systems to generate exponential (and thus non-semi-linear) number languages. We also give a binary normal form for one of the variants of P systems with randomized rule right-hand sides. Finally, we also discuss extensions of the three variants to tissue P systems, i.e., P systems on an arbitrary graph structure.

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