P Systems with Replicated Rewriting and Stream X-Machines (Eilenberg Machines)

Authors:  J. Aguado, T. Balanescu, A. J. Cowling, M. Gheorghe, M. Holcombe and F. Ipate.
Published in Fundamenta Informaticae, Volume 49.1-3 (2002), pages 17 - 33.

Abstract

The aim of this paper is to show how the P systems with replicated rewriting can be modelled by X-machines (also called Eilenberg machines).  In the first approach, the parallel behaviour of the regions of a P system is simulated by a sequential process involving a single X-machine.  This allows the application of the X-machine testing procedures in order to prove the correctness of P systems.  In the second approach, a P system is simulated by a communicating system of X-machines.  Each component of such a system is an X-machine associated with a region of the given P system.  The components act in parallel, as their counterparts do in a P system, and use some specific mechanism for communication and synchronisation.

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