The equivalence between a clause set and a kind of extension multi-layer perceptron

For multi-layer perceptron, its logic function has been discussed by many researchers. This paper simply discusses a kind of prepositional calculus with evaluation and an extension multi-layer perceptron model. Based on the propositional calculus, the formulas set can be expressed in the extension multi-layer perceptron. On the contrary, a kind of extension multi-layer perceptron can also be expressed by some formulas set of propositional calculus. This means that, on one hand, semantic deduction of the propositional calculus knowledge base can be implemented by the extension multi-layer perceptron; on the other hand, the logic function of the extension multi-layer perceptron can be showed by formulas set of the propositional calculus.