Product logic is considered one of the major truth-functional fuzzy propositional logics. Its semantics is given by the variety of Product algebras {mathbb{P}}. In the hierarchy of fuzzy logics based on left-continuous t-norms there are a few logics whose algebraic semantics are varieties categorically equivalent with {mathbb{P}}. For these logics we shall describe finitely generated free algebras and their group of automorphisms, that is, invertible substitutions.
Invertible substitutions in logics with algebraic semantics equivalent to Product algebras / S. Aguzzoli, B. Gerla - In: 2022 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)[s.l] : IEEE, 2022. - ISBN 978-1-6654-6710-0. - pp. 1-8 (( convegno FUZZ tenutosi a Padova nel 2022 [10.1109/FUZZ-IEEE55066.2022.9882760].
Invertible substitutions in logics with algebraic semantics equivalent to Product algebras
S. AguzzoliPrimo
;
2022
Abstract
Product logic is considered one of the major truth-functional fuzzy propositional logics. Its semantics is given by the variety of Product algebras {mathbb{P}}. In the hierarchy of fuzzy logics based on left-continuous t-norms there are a few logics whose algebraic semantics are varieties categorically equivalent with {mathbb{P}}. For these logics we shall describe finitely generated free algebras and their group of automorphisms, that is, invertible substitutions.
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