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Fuzzy intuitionistic quantum logics
Authors:Gianpiero Cattaneo  Maria L Dalla Chiara  Roberto Giuntini
Institution:(1) Dipartimento di Scienze dell'Informazione, Università di Milano, Milano, Italy;(2) Dipartimento di Filosofia, Università di Firenze, Firenze, Italy
Abstract:Fuzzy intuitionistic quantum logics (called also Brouwer-Zadeh logics) represent to non standard version of quantum logic where the connective ldquonotrdquo is split into two different negation: a fuzzy-like negation that gives rise to a paraconsistent behavior and an intuitionistic-like negation. A completeness theorem for a particular form of Brouwer-Zadeh logic (BZL 3) is proved. A phisical interpretation of these logics can be constructed in the framework of the unsharp approach to quantum theory.
Keywords:
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