Functional graph model of a neural network

A model representing neural networks is proposed. It uses the functional graphs notion defined by R. Jakubowski (1977). This is a system of nodes connected with functional edges between which binary relations can be defined. Multilayer artificial neural networks can easily be defined using functional edges to model neurons, and parametrized binary relations to model synaptic connections. Learning is also defined in terms of functional graphs. The proposed description can produce descriptions of whole classes of networks.