On Paraconsistent Weakening of Intuitionistic Negation

Details On Paraconsistent Weakening of Intuitionistic Negation On Paraconsistent Weakening of Intuitionistic Negation

2011-02-09

arxiv.org/abs/1102.1935v1

Computer Science

Logic in Computer Science

10 pages

Scientific paper

In [1], systems of weakening of intuitionistic negation logic called Z_n and CZ_n were developed in the spirit of da Costa's approach(c.f. [2]) by preserving, differently from da Costa, its fundamental properties: antitonicity, inversion and additivity for distributive lattices. However, according to [3], those systems turned out to be not paraconsistent but extensions of intuitionistic logic. Taking into account of this result, we shall here make some observations on the modified systems of Z_n and CZ_n, that are paraconsistent as well.

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