Studia Logica

, Volume 36, Issue 3, pp 213–228 | Cite as

Degrees of maximality of Klukasiewicz-like sentential calculi

  • Grzegorz Malinowski


The paper is concerned with the problem of characterization of strengthenings of the so-called Lukasiewicz-like sentential calculi. The calculi under consideration are determined byn-valued Lukasiewicz matrices (n>2,n finite) with superdesignated logical values. In general. Lukasiewicz-like sentential calculi are not implicative in the sense of [7]. Despite of this fact, in our considerations we use matrices analogous toS-algebras of Rasiowa. The main result of the paper says that the degree of maximality of anyn-valued Lukasiewicz-like sentential calculus is finite and equal to the degree of maximality of the correspondingn-valued Lukasiewicz calculus.


Mathematical Logic Computational Linguistic Sentential Calculus 
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Copyright information

© Warzawa 1977

Authors and Affiliations

  • Grzegorz Malinowski
    • 1
    • 2
  1. 1.Institute of PhilosophyLódź UniversityLodzPoland
  2. 2.The Section of Logic Institute of Philosophy and SociologyThe Polish Academy of SciencesPoland

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