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Spatially Localised Membrane Systems

Csuhaj-Varjú E., Gheorghe M., Stannett M., Vaszil G.

Fundamenta Informaticae

2015

Vol. 138, nr 1/2

193--205

In this paper we investigate the use of general topological spaces in connection with a generalised variant of membrane systems. We provide an approach which produces a fine grain description of local operations occurring simultaneously in sets of compartments of the system by restricting the interactions between objects. This restriction is given by open sets of a topology and multisets of objects associated with them, which dynamically change during the functioning of the system and which together define a notion of vicinity for the objects taking part in the interactions.