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Cluster Computers and Grid Automata

A new model for computers and networks is developed and studied. The model has the two-folded form: a grid array, which gives a direct representation for different kinds of computers and networks and its theoretical counterpart, a grid automaton. Grid arrays are aimed at computer/network design, description, verification, adaptation, maintenance, and reusability. Grid automata are aimed at the development of a theoretical technique for computer/network studies. Different properties of grid arrays and automata are obtained, demonstrating their usefulness for computers and their applications.