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Weakening and extending \(\mathbb{Z}\) - MaRDI portal

Weakening and extending \(\mathbb{Z}\) (Q497880)

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scientific article; zbMATH DE number 6485452
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Weakening and extending \(\mathbb{Z}\)
scientific article; zbMATH DE number 6485452

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    Weakening and extending \(\mathbb{Z}\) (English)
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    25 September 2015
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    This paper deals with some extensions and weakenings of paraconsistent logic \(\mathbb{Z}\). These logics include an intuitionistic negation which happens to be stronger than the da Costa negation and one weaker than L5. The paper gives the preliminary logics \(\mathbb{Z}\), a da Costa system and P-FOUR and discusses their Hilbert style theories. Then, it constructs a weakening and an extension of \(\mathbb{Z}\).
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    paraconsistent logic
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    logic Z
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    da Costa systems
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