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Non-commutative Łukasiewicz propositional logic

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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.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, University of Bucharest, Str. Academiei 14, 70109, Bucharest, Romania

    Ioana Leuştean

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  1. Ioana Leuştean
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Correspondence to Ioana Leuştean.

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Leuştean, I. Non-commutative Łukasiewicz propositional logic. Arch. Math. Logic 45, 191–213 (2006). https://doi.org/10.1007/s00153-005-0297-8

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  • DOI: https://doi.org/10.1007/s00153-005-0297-8

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