Neural networks and logical reasoning systems. A translation table

Joao Martins; R. Vilela Mendes

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arXiv · cond-mat/9808041

Neural networks and logical reasoning systems. A translation table

Joao Martins·R. Vilela Mendes

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Abstract

A correspondence is established between the elements of logic reasoning systems (knowledge bases, rules, inference and queries) and the hardware and dynamical operations of neural networks. The correspondence is framed as a general translation dictionary which, hopefully, will allow to go back and forth between symbolic and network formulations, a desirable step in learning-oriented systems and multicomputer networks. In the framework of Horn clause logics it is found that atomic propositions with n arguments correspond to nodes with n-th order synapses, rules to synaptic intensity constraints, forward chaining to synaptic dynamics and queries either to simple node activation or to a query tensor dynamics.

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Joao Martins, R. Vilela Mendes. 1998-08-04. Neural networks and logical reasoning systems. A translation table. https://arxiv.org/abs/cond-mat/9808041

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