Synthese 125 (1/2):77 - 95 (2000)

Abstract
In 1999, da Silva, D'Ottaviano and Sette proposed a general definition for the term translation between logics and presented an initial segment of its theory. Logics are characterized, in the most general sense, as sets with consequence relations and translations between logics as consequence-relation preserving maps. In a previous paper the authors introduced the concept of conservative translation between logics and studied some general properties of the co-complete category constituted by logics and conservative translations between them. In this paper we present some conservative translations involving classical logic, Lukasiewicz three-valued system L₃, the intuitionistic system Iⁱ and several para-consistent logics, as for instance Sette's system Pⁱ, the D'Ottaviano and da Costa system J₃ and da Costa's systems $\text{C}_{n}$ , 1 ≤ n ≤ ω.
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DOI 10.1023/a:1005298624839
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References found in this work BETA

Symbolic Logic.C. I. Lewis & C. H. Langford - 1934 - Erkenntnis 4 (1):65-66.

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Citations of this work BETA

The Ubiquity of Conservative Translations.Emil Jeřábek - 2012 - Review of Symbolic Logic 5 (4):666-678.
Conservative Translations.Hércules A. Feitosa & Itala M. Loffredo D'Ottaviano - 2001 - Annals of Pure and Applied Logic 108 (1-3):205-227.

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