We employ some of the machinery developed in previous work to investigate the inferential and memory functions of quantum-like neural networks. We set up a logical apparatus to implement this in the form of a Gentzen sequent calculus which codifies some of the combinatory rules for the state spaces of the neuronal networks introduced earlier. We discuss memory storage in this context and along the way find formal proof that synchronicity promotes binding and storage. These results lead to an algorithmic fragment in calculus that simulates the memory function known as pattern completion. This claim is tested by noting that the failure of certain steps in the algorithm leads to memory deficits essentially identical to those found in such pathologies as Alzheimer's dementia, schizophrenia, and certain forms of autism. Moreover, a specific "power-of-two" wiring architecture and computational logic, which have been postulated and observed across many brain circuits, emerge spontaneously from our model. We draw conclusions concerning the possible nature of such mental processes qua computations.

中文翻译：

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没有量子物理学的类量子行为 III

我们使用之前工作中开发的一些机制来研究类量子神经网络的推理和记忆功能。我们建立了一个逻辑装置来以 Gentzen 序列演算的形式实现这一点，该演算为之前介绍的神经元网络的状态空间编写了一些组合规则。我们在这种情况下讨论内存存储，并在此过程中找到同步促进绑定和存储的正式证据。这些结果导致了微积分中的一个算法片段，它模拟了称为模式完成的记忆功能。这一说法是通过注意到算法中某些步骤的失败导致记忆缺陷来测试的，这与阿尔茨海默氏痴呆、精神分裂症和某些形式的自闭症等病理中发现的记忆缺陷基本相同。此外，一个特定的“