The Logic of Quasi-MV Algebras

Bou, Félix ; Paoli, Francesco ; Ledda, Antonio ; Spinks, Matthew ; Giuntini, Roberto

In: Journal of Logic and Computation, 2010, vol. 20, no. 2, p. 619-643

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    Summary
    The algebraic theory of quasi-MV algebras, generalizations of MV algebras arising in quantum computation, is by now rather well-developed. Although it is possible to define several interesting logics from these structures, so far this aspect has not been investigated. The present article aims at filling this gap