arXiv:1603.09334·math.LO·April 1, 2016
The Formalization of The Arithmetic System on The Ground of The Atomic Logic
T.J. Stepien, L.T. Stepien

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Abstract
This paper is a continuation of the paper [16]. Namely, in [16] we have introduced, among others, the definition of the atomic entailment and we have constructed the system , which is based on the atomic entailment. In this paper we show that the classical Arithmetic can be based on the Atomic Logic (see [17]).
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