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  1. Natural Deduction for Paraconsistent Logic.Milton Augustinis de Castro & Itala Maria Loffredo D'ottaviano - 2000 - Logica Trianguli 4:3-24.
     
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    Analytical Tableaux for da Costa's Hierarchy of Paraconsistent Logics Cn, 1≤N<Ω.Itala M. Loffredo D'Ottaviano & Milton Augustinis de Castro - 2005 - Journal of Applied Non-Classical Logics 15 (1):69-103.
    In this paper we present a new hierarchy of analytical tableaux systems TNDC n, 1≤n (...))
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    Analytical Tableaux for da Costa's Hierarchy of Paraconsistent Logics Cn, 1≤ N< Ω.Itala M. Loffredo D'Ottaviano & Milton Augustinis De Castro - 2005 - Journal of Applied Non-Classical Logics 15 (1):69-103.
    In this paper we present a new hierarchy of analytical tableaux systems TNDC n, 1≤n<ω, for da Costa's hierarchy of propositional paraconsistent logics Cn, 1≤n<ω. In our tableaux formulation, we introduce da Costa's “ball” operator “o”, the generalized operators “k” and “”, for 1≤k, and the negations “~k”, for k≥1, as primitive operators, differently to what has been done in the literature, where these operators are usually defined operators. We prove a version of Cut Rule for the TNDC n, 1≤n<ω, (...)
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