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Logics from \(\sqrt{^{\prime}}\) Quasi-MV Algebras

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Abstract

The purpose of the present article is to extend the scope of some investigations about abstract logics arising quite naturally out of Quasi-MV algebras (for short, qMV algebras) also to \(\sqrt{^{\prime}}\) qMV algebras. We will therefore introduce, mutually compare and (in some cases) axiomatise several logics arising out of the variety of \(\sqrt{^{\prime}}\) qMV algebras and out of some important subclasses of such. Subsequently, we will investigate the same logics by resorting to the methods and techniques of abstract algebraic logic.

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Correspondence to Roberto Giuntini.

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Paoli, F., Ledda, A., Spinks, M. et al. Logics from \(\sqrt{^{\prime}}\) Quasi-MV Algebras. Int J Theor Phys 50, 3882–3902 (2011). https://doi.org/10.1007/s10773-011-0865-0

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  • DOI: https://doi.org/10.1007/s10773-011-0865-0

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