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Content available remote Describing Membrane Computations with a Chemical Calculus
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Membrane systems are nature motivated computational models inspired by certain basic features of biological cells and their membranes. They are examples of the chemical computational paradigm which describes computation in terms of chemical solutions where molecules interact according to rules defining their reaction capabilities. Chemical models can be presented by rewriting systems based on multiset manipulations, and they are usually given as a kind of chemical calculus which might also allow non-deterministic and non-sequential computations. Here we study membrane systems from the point of view of the chemical computing paradigm and show how computations of membrane systems can be described by such a chemical calculus.
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Content available remote Grammar Systems versus Membrane Computing: The Case of CD Grammar Systems
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In this paper we discuss some relationships between grammar systems and P systems (membrane systems), two areas of computer science dealing with distributed computing models, but with different motivations and different types of basic ingredients. We extend one of the most important communication protocols of cooperating distributed (CD) grammar systems, the so-called t-derivation mode, to P systems with string-objects: if no rule can be applied to a string in a region of a P system, then the string is moved to a neighbouring region, depending on the communication mode either in exactly one direction (in or out) or in both directions. We describe the computational power of the obtained classes of P systems in comparison with families of languages generated by grammars in the Chomsky hierarchy or with CD grammar systems and formulate several problems for future research.
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Content available remote Spatially Localised Membrane Systems
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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.
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