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Cellular Automata with Dynamically Reconfigurable Buses

机译:具有动态可重配置总线的元胞自动机

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摘要

We consider one-dimensional cellular automata which are extended by dynamically reconfigurable buses (RCA). It is shown that up to a constant factor it does not matter whether bus segments are directed or not. For both variants of the model their time complexity can be characterized in terms of the reversal complexity of one-tape TM. The comparison of RCA with tree CA shows that the former are in the second machine class and that they can be transformed in some normal form with an only polynomial overhead of time.
机译:我们考虑由动态可重配置总线(RCA)扩展的一维细胞自动机。结果表明,直到一个恒定的因子,总线段是否被引导都无关紧要。对于模型的两个变体,其时间复杂度都可以根据单带TM的逆转复杂度来表征。 RCA与树CA的比较表明,前者在第二机器类中,并且它们可以以某种普通形式进行变换,而只需要时间的多项式开销。

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