Author:
Fallahi Asadollah,Raftery James Gordon
Abstract
AbstractWe exhibit infinitely many semisimple varieties of semilinear De Morgan monoids (and likewise relevant algebras) that are not tabular, but which have only tabular proper subvarieties. Thus, the extension of relevance logic by the axiom $$(p\rightarrow q)\vee (q\rightarrow p)$$
(
p
→
q
)
∨
(
q
→
p
)
has infinitely many pretabular axiomatic extensions, regardless of the presence or absence of Ackermann constants.
Funder
National Research Foundation of South Africa
Iran National Science Foundation
University of Pretoria
Publisher
Springer Science and Business Media LLC
Subject
History and Philosophy of Science,Logic
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