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On Normal Forms for Networks of Evolutionary Processors

机译:关于进化处理器网络的正常形式

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In this paper we show that some aspects of networks of evolutionary processors can be normalized or simplified without loosing generative power. More precisely, we show that one can use very small finite automata for the control of the communication. We first prove that the networks with evolutionary processors remain computationally complete if one restricts the control automata to have only one state, but underlying graphs of the networks have no fixed structure and the rules are applied in three different modes. Moreover, we show that networks where the rules are applied arbitrary, and all the automata for control have one state, cannot generate all recursively enumerable languages. Finally, we show that one can generate all recursively enumerable languages by complete networks, where the rules are applied arbitrary, but the automata for control have at most two states.
机译:在本文中,我们表明,在不减少生成功率的情况下,可以归一化或简化进化处理器网络的一些方面。更确切地说,我们表明人们可以使用非常小的有限自动机来控制通信。我们首先证明,如果一个限制控制自动机只有一个状态,则具有进化处理器的网络仍然可以计算完成,但网络的基础图形没有固定结构,规则以三种不同的模式应用。此外,我们展示了将规则应用了任意的网络,并且所有用于控制的自动机都有一个状态,不能生成所有递归唯一可租语的语言。最后,我们表明,可以通过完整的网络生成所有递归可租语的语言,其中规则是任意的,但是控制的自动机在大多数两个状态下都有。

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