The logics stronger than Lukasiewicz's three valued sentential calculus. The notion of degree of maximality versus the notion of degree of completeness

DOI10.1007/BF02120495zbMath0299.02019OpenAlexW2082098615MaRDI QIDQ1214909

Ryszard Wójcicki

Publication date: 1974

Published in: Studia Logica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02120495

Mathematics Subject Classification ID

Many-valued logic (03B50) General logic (03B99)

Related Items (12)

Matrix representations for structural strengthenings of a propositional logic ⋮ On the three-valued expansions of Kleene's logic ⋮ An example of strongly finite consequence operation with \(2^ (\aleph_ 0)\) standard strengthenings ⋮ The degrees of maximality of the intuitionistic propositional logic and of some of its fragments ⋮ The lattice of strengthenings of a strongly finite consequence operation ⋮ Dual equivalent two-valued under-determined and over-determined interpretations for Łukasiewicz's 3-valued logic Ł3 ⋮ A note on direct products and ultraproducts of logical matrices ⋮ S-algebras and the degrees of maximality for three and four valued logics of Lukasiewicz ⋮ Degrees of maximality of Łukasiewicz-like sentential calculi ⋮ A strongly finite logic with infinite degree of maximality ⋮ On finitely based consequence operations ⋮ Key notions of Tarski's methodology of deductive systems

Cites Work

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• Matrix approach in methodology of sentential calculi
• Some remarks on the consequence operation in sentential logics

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