On evolutionary lineages of membrane systems

Authors:
Petr Sosík;Ondřej Valík
Affiliations:
Facultad de Informática, Universidad Politécnica de Madrid, Madrid, Spain;Institute of Computer Science, Silesian University, Opava, Czech Republic
Venue:
WMC'05 Proceedings of the 6th international conference on Membrane Computing
Year:
2005

Citing 6
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Abstract

We introduce a simple model of P system motivated by certain restrictions found in biological systems. Its computational power is rather limited and corresponds to that of a finite transducer. An important characteristics of the model is its interactive behavior. Then we study the computational power of evolutionary lineages of such P systems. Referring to known results from the structural complexity theory (Karp and Lipton, Wiedermann and van Leeuwen), we show that a super-Turing computational potential can emerge in non-uniform lineages of these restricted P systems. Furthermore, key features of our model are related to lineages of biological systems. In this way, our results provide another argument supporting the thesis from [14] and others that a super-Turing potential is naturally and inherently present in evolution of living organisms.