Conservative translations

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The ubiquity of conservative translations

We study the notion of conservative translation between logics introduced by Feitosa and D’Ottaviano [7]. We show that classical propositional logic (CPC) is universal in the sense that every finitary consequence relation over a countable set of formulas can be conservatively translated into CPC. The translation is computable if the consequence relation is decidable. More generally, we show tha...

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ژورنال

عنوان ژورنال: Annals of Pure and Applied Logic

سال: 2001

ISSN: 0168-0072

DOI: 10.1016/s0168-0072(00)00046-4