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Different kinds of neighborhood-varying cellular automata

Jean‐Christophe Dubacq

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Abstract

The mainframe of this work has been the study of cellular automata as very simple SIMD systems. We introduce some variations over the basic definition of cellular automata in order to compare these new models with other models of cellular automata. The neighborhood-varying cellular automata is shown to be as powerful as time-varying cellular automata. The dynamically reconfigurable cellular automata are more interesting because they effectively reduce the running-time for some normal CA computations. Then some

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What this paper is about

The mainframe of this work has been the study of cellular automata as very simple SIMD systems. We introduce some variations over the basic definition of cellular automata in order to compare these new models with other models of cellular automata. The neighborhood-varying cellular automata is shown to be as powerful as time-varying cellular automata. The dynamically reconfigurable cellular automata are more interesting because they effectively reduce the running-time for some normal CA computations. Then some

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Available abstract

The mainframe of this work has been the study of cellular automata as very simple SIMD systems. We introduce some variations over the basic definition of cellular automata in order to compare these new models with other models of cellular automata. The neighborhood-varying cellular automata is shown to be as powerful as time-varying cellular automata. The dynamically reconfigurable cellular automata are more interesting because they effectively reduce the running-time for some normal CA computations. Then some

Key concepts: Cellular automaton, Mobile automaton, Continuous spatial automaton, Stochastic cellular automaton, Computer science, Asynchronous cellular automaton, Quantum cellular automaton, Simple (philosophy)

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