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- Title
TWO INFINITE SEQUENCES OF PRE-MAXIMAL EXTENSIONS OF THE RELEVANT LOGIC E.
- Authors
Typańska-Czajka, Lidia
- Abstract
The only maximal extension of the logic of relevant entailment E is the classical logic CL. A logic L ⊆ [E, CL] called pre-maximal if and only if L is a coatom in the interval [E, CL]. We present two denumerable infinite sequences of premaximal extensions of the logic E. Note that for the relevant logic R there exist exactly three pre-maximal logics, i.e. coatoms in the interval [R, CL].
- Subjects
RELEVANCE logic; EXTENSION (Logic); MATHEMATICAL series; NONCLASSICAL mathematical logic; LATTICE theory; UNIVERSAL algebra
- Publication
Bulletin of the Section of Logic, 2019, Vol 48, Issue 1, p29
- ISSN
0138-0680
- Publication type
Article
- DOI
10.18778/0138-0680.48.1.03