Spiking Neural P systems with extended rules: universality and languages

TitleSpiking Neural P systems with extended rules: universality and languages
Publication TypeJournal Papers
Year of Publication2008
AuthorsChen, H., Ionescu M., Ishdorj T. - O., Paun A., Paun G., & Pérez-Jiménez M. J.
Journal TitleNatural Computing
PublisherSpringer Netherlands
Date Published06/2008

We consider spiking neural P systems with rules allowed to introduce zero, one, or more spikes at the same time. The motivation comes both from constructing small universal systems and from generating strings; previous results from these areas are briefly recalled. Then, the computing power of the obtained systems is investigated, when considering them as number generating and as language generating devices. In the first case, a simpler proof of universality is obtained, while in the latter case we find characterizations of finite and recursively enumerable languages (without using any squeezing mechanism, as it was necessary in the case of standard rules). The relationships with regular languages are also investigated.

Keywordschomsky hierarchy, Membrane computing, spiking neural P systems, Turing computability, Universality
ISSN Number1567-7818 (Print) 1572-9796 (Online)