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arXiv · 1012.1221

Infinite Time Cellular Automata: A Real Computation Model

Fabien Givors·Grégory Lafitte·Nicolas Ollinger
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Abstract

We define a new transfinite time model of computation, infinite time cellular automata. The model is shown to be as powerful than infinite time Turing machines, both on finite and infinite inputs; thus inheriting many of its properties. We then show how to simulate the canonical real computation model, BSS machines, with infinite time cellular automata in exactly \omega steps.

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Fabien Givors, Grégory Lafitte, Nicolas Ollinger. 2010-12-03. Infinite Time Cellular Automata: A Real Computation Model. https://arxiv.org/abs/1012.1221

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