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Non-commutative Łukasiewicz propositional logic

Non-commutative Łukasiewicz propositional logic 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Archive for Mathematical Logic Springer Journals

Non-commutative Łukasiewicz propositional logic

Archive for Mathematical Logic , Volume 45 (2) – Sep 27, 2005

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References (22)

Publisher
Springer Journals
Copyright
Copyright © 2005 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Mathematics, general; Algebra; Mathematical Logic and Foundations
ISSN
0933-5846
eISSN
1432-0665
DOI
10.1007/s00153-005-0297-8
Publisher site
See Article on Publisher Site

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.

Journal

Archive for Mathematical LogicSpringer Journals

Published: Sep 27, 2005

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