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Type: Artigo de evento
Title: Analytical Tableaux For Da Costás Hierarchy Of Paraconsistent Logics Cn, 1≤n<ω1
Author: D'Ottaviano I.M.L.
Castro M.A.D.
Abstract: In this paper we present a new hierarchy of analytical tableaux systems TNDCn, 1≤n<ω, for da Costás hierarchy of propositional paraconsistent logics Cn, 1≤n<ω. In our tableaux formulation, we introduce da Costás "ball" operator "o", the generalized operators "k" and "(k)", 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 TNDCn, 1≤n<ω, and also prove that these systems are logically equivalent to the corresponding systems Cn, 1≤n<ω. The systems TNDCn constitute completely automated theorem proving systems for the systems of da Costás hierarchy C n, 1≤n<ω.
Rights: fechado
Identifier DOI: 10.3166/jancl.15.69-103
Date Issue: 2005
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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