Bulletin of the Section of Logic 52/1 (2023)
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The Weak Variable Sharing Property
(Wydawnictwo Uniwersytetu Łódzkiego, 2023-04-21)An algebraic type of structure is shown forth which is such that if it is a characteristic matrix for a logic, then that logic satisfies Meyer's weak variable sharing property. As a corollary, it is shown that RM and all ... -
The Modelwise Interpolation Property of Semantic Logics
(Wydawnictwo Uniwersytetu Łódzkiego, 2023-04-21)In this paper we introduce the modelwise interpolation property of a logic that states that whenever \(\models\phi\to\psi\) holds for two formulas \(\phi\) and \(\psi\), then for every model \(\mathfrak{M}\) there is an ... -
The Theory of an Arbitrary Higher \(\lambda\)-Model
(Wydawnictwo Uniwersytetu Łódzkiego, 2023-04-25)One takes advantage of some basic properties of every homotopic \(\lambda\)-model (e.g. extensional Kan complex) to explore the higher \(\beta\eta\)-conversions, which would correspond to proofs of equality between terms ... -
On Homomorphism and Cartesian Products of Intuitionistic Fuzzy PMS-subalgebra of a PMS-algebra
(Wydawnictwo Uniwersytetu Łódzkiego, 2023-04-21)In this paper, we introduce the notion of intuitionistic fuzzy PMS-subalgebras under homomorphism and Cartesian product and investigate several properties. We study the homomorphic image and inverse image of the intuitionistic ... -
Roughness of Filters in Equality Algebras
(Wydawnictwo Uniwersytetu Łódzkiego, 2023-01-25)Rough set theory is an excellent mathematical tool for the analysis of a vague description of actions in decision problems. Now, in this paper by considering the notion of an equality algebra, the notion of the lower and ...