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Acta Informatica
Published in: Acta Informatica 6/2012

01-09-2012 | Original Article

On the power of enzymatic numerical P systems

Authors: Cristian Ioan Vasile, Ana Brânduşa Pavel, Ioan Dumitrache, Gheorghe Păun

Published in: Acta Informatica | Issue 6/2012

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Abstract

We study the computing power of a class of numerical P systems introduced in the framework of autonomous robot control, namely enzymatic numerical P systems. Three ways of using the evolution programs are investigated: sequential, all-parallel and one-parallel (with the same variable used in all programs or in only one, respectively); moreover, both deterministic and non-deterministic systems are considered. The Turing universality of some of the obtained classes of numerical P systems is proved (for polynomials with the smallest possible degree, one, also introducing a new proof technique in this area, namely starting the universality proof from the characterization of computable sets of numbers by means of register machines). The power of many other classes remains to be investigated.
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Metadata
Title
On the power of enzymatic numerical P systems
Authors
Cristian Ioan Vasile
Ana Brânduşa Pavel
Ioan Dumitrache
Gheorghe Păun
Publication date
01-09-2012
Publisher
Springer-Verlag
Published in
Acta Informatica / Issue 6/2012
Print ISSN: 0001-5903
Electronic ISSN: 1432-0525
DOI
https://doi.org/10.1007/s00236-012-0166-y

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