Natural Duality as a Tool to Study Algebras Arising from Logics

  • Philippe Niederkorn
Conference paper
Part of the Advances in Soft Computing book series (AINSC, volume 11)


MV-algebras are the algebraic counterpart of Lukasiewicz’s infinite-valued logic, just as Boolean algebras correspond to the classical propositional calculus. The finitely generated subvarieties of the variety M of all MV-algebras are generated by a finite number of finite chains.

We present Davey and Werner’s theory of natural duality, illustrated by its application to a few classes of algebras arising from classical and non-classical logics. We insist on the subvarieties of M generated by one finite chain, for which some simple applications of the dualities are proposed.


Boolean Algebra Free Algebra Natural Duality Strong Duality Unary Relation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Philippe Niederkorn
    • 1
  1. 1.Algebra and LogicUniversity of LiègeBelgium

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