Bulletin of the Section of Logic 53/2 (2024)
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SPIS TREŚCI
1. Lifting Results for Finite Dimensions to the Transfinite in Systems of Varieties Using UltraproductsTarek Sayed Ahmed
2. SUP-Hesitant Fuzzy Interior Ideals in \(\Gamma\)-Semigroups
Pannawit Khamrot, Thiti Gaketem
3. Some Logics in the Vicinity of Interpretability Logics
Sergio A. Celani
4. Fuzzy Sub-Equality Algebras Based on Fuzzy Points
Mona Aaly Kologani, Mohammad Mohseni Takallo, Young Bae Jun, Rajab Ali Borzooei
5. A Syntactic Proof of the Decidability of First-Order Monadic Logic
Eugenio Orlandelli, Matteo Tesi
6. Sequent Systems for Consequence Relations of Cyclic Linear Logics
Paweł Płaczek
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Sequent Systems for Consequence Relations of Cyclic Linear Logics
(Wydawnictwo Uniwersytetu Łódzkiego, 2024-04-24)Linear Logic is a versatile framework with diverse applications in computer science and mathematics. One intriguing fragment of Linear Logic is Multiplicative-Additive Linear Logic (MALL), which forms the exponential-free ... -
A Syntactic Proof of the Decidability of First-Order Monadic Logic
(Wydawnictwo Uniwersytetu Łódzkiego, 2024-02-09)Decidability of monadic first-order classical logic was established by Löwenheim in 1915. The proof made use of a semantic argument and a purely syntactic proof has never been provided. In the present paper we introduce a ... -
Fuzzy Sub-Equality Algebras Based on Fuzzy Points
(Wydawnictwo Uniwersytetu Łódzkiego, 2023-12-18)In this paper, by using the notion of fuzzy points and equality algebras, the notions of fuzzy point equality algebra, equality-subalgebra, and ideal were established. Some characterizations of fuzzy subalgebras were ... -
Some Logics in the Vicinity of Interpretability Logics
(Wydawnictwo Uniwersytetu Łódzkiego, 2023-11-22)In this paper we shall define semantically some families of propositional modal logics related to the interpretability logic \(\mathbf{IL}\). We will introduce the logics \(\mathbf{BIL}\) and \(\mathbf{BIL}^{+}\) in the ... -
Lifting Results for Finite Dimensions to the Transfinite in Systems of Varieties Using Ultraproducts
(Wydawnictwo Uniwersytetu Łódzkiego, 2024-02-12)We redefine a system of varieties definable by a schema of equations to include finite dimensions. Then we present a technique using ultraproducts enabling one to lift results proved for every finite dimension to the ... -
SUP-Hesitant Fuzzy Interior Ideals in \(\Gamma\)-Semigroups
(Wydawnictwo Uniwersytetu Łódzkiego, 2024-04-24)In this paper, we defined the concept \(\mathcal{SUP}\)-hesitant fuzzy interior ideals in \(\Gamma\)-semigroups, which is generalized of hesitant fuzzy interior ideals in \(\Gamma\)-semigroups. Additionally, we study ...