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
Gerla B.
2022-01-01
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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