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Non-commutative ?ukasiewicz propositional logic
Authors:Ioana Leu?tean
Institution:(1) Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 70109 Bucharest, Romania
Abstract:The non-commutative counterpart of the well-known Łukasiewicz propositional logic is developed, in strong connection with the algebraic theory of psMV-algebras. An extension by a new unary logical connective is also considered and a stronger completeness result is proved for this system.
Keywords:Ł  ukasiewicz logic  psMV-algebras
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