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Efficient computation in rational-valued P systems

Published online by Cambridge University Press:  04 December 2009

NADIA BUSI ,
MIGUEL A. GUTIÉRREZ-NARANJO  and
MARIO J. PÉREZ-JIMÉNEZ
NADIA BUSI
Affiliation:
Research Group on Natural Computing, Department of Computer Science and Artificial Intelligence, University of Sevilla, Spain Email: magutier@us.es, marper@us.es
MIGUEL A. GUTIÉRREZ-NARANJO
Affiliation:
Research Group on Natural Computing, Department of Computer Science and Artificial Intelligence, University of Sevilla, Spain Email: magutier@us.es, marper@us.es
MARIO J. PÉREZ-JIMÉNEZ
Affiliation:
Research Group on Natural Computing, Department of Computer Science and Artificial Intelligence, University of Sevilla, Spain Email: magutier@us.es, marper@us.es
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Abstract

In this paper, we describe a new representation for deterministic rational-valued P systems that allows us to form a bridge between membrane computing and linear algebra. On the one hand, we prove that an efficient computation for these P systems can be described using linear algebra techniques. In particular, we show that the computation for getting a configuration in such P systems can be carried out by multiplying appropriate matrices. On the other hand, we also show that membrane computing techniques can be used to get the nth power of a given matrix.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 19 , Special Issue 6: Dedicated to Nadia Busi , December 2009 , pp. 1125 - 1139
Copyright
Copyright © Cambridge University Press 2009

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