AN UNIVERSALITY RESULT FOR A (MEM)BRANE CALCULUS BASED ON MATE/DRIP OPERATIONS

Author:

CARDELLI LUCA1,PĂUN GHEORGHE23

Affiliation:

1. Microsoft Research Cambridge, 7, J.J. Thomson Avenue, Cambridge, CB3 0FB, UK

2. Institute of Mathematics of the Romanian Academy, PO Box 1-764, 014700 Bucureşti, Romania

3. Research Group on Natural Computing, Department of Computer Science and Artificial Intelligence, University of Sevilla, Avda. Reina Mercedes s/n, 41012 Sevilla, Spain

Abstract

Operations with membranes are essential both in brane calculi and in membrane computing. In this paper we take four basic operations from brane calculi, pino, exo, mate, drip, we express them in terms of the membrane computing formalism, and then we investigate the computing power of the P systems using the mate, drip operations as unique evolution rules. All operations are controlled by – and make evolve – multisets of protein-objects embedded in the membranes themselves (not contained in the compartments of the cell, as standard in membrane computing; all compartments delimited by membranes are here empty). Somewhat surprisingly, for systems which use the mate, drip operations we obtain the Turing completeness. The power of P systems based on other operations remains to be investigated.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science (miscellaneous)

Cited by 32 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. P systems with reactive membranes;Journal of Membrane Computing;2024-04-23

2. Mobile Membranes;IEEE Access;2020

3. An efficient time-free solution to QSAT problem using P systems with proteins on membranes;Information and Computation;2017-10

4. Membrane automata for modeling biomolecular processes;Natural Computing;2015-09-01

5. Membrane Computing;Encyclopedia of Complexity and Systems Science;2015

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