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On Paracomplete Versions of Jaśkowski's Discussive Logic
(Wydawnictwo Uniwersytetu Łódzkiego, 2024-01-04)
Jaśkowski's discussive (discursive) logic D2 is historically one of the first paraconsistent logics, i.e., logics which 'tolerate' contradictions. Following Jaśkowski's idea to define his discussive logic by means of 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 ...
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 ...
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 ...
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 ...