Degrees of maximality of Łukasiewicz-like sentential calculi

Studia Logica 36 (3):213 - 228 (1977)
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.
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References found in this work BETA
Helena Rasiowa (1974). An Algebraic Approach to Non-Classical Logics. Warszawa, Pwn - Polish Scientific Publishers.

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