Przeglądaj Bulletin of the Section of Logic 55/2 (2026) według daty wydania
Wyświetlanie pozycji 1-6 z 6
-
A Study of a Special Semi Maximal Filters in BL−algebras
(Wydawnictwo Uniwersytetu Łódzkiego, 2026-05-22)In this article, a specific type of semi maximal filters is introduced, which form a lattice structure. These filters are called J- semi maximal and NJ-semi maximal, and their key properties in BL-algebras are analyzed. ... -
Revisiting the Adequacy Theorem for Fragments of Łukasiewicz Logic
(Wydawnictwo Uniwersytetu Łódzkiego, 2026-06-10)A. V. Figallo introduced the 3-valued Super Łukasiewicz logic expanded with the Δ operator, denoted as C3↣,Δ, in 1990. This operator is used in the definition of 3-valued Łukasiewicz algebras, and it is not possible to ... -
Topology on Equality Algebras
(Wydawnictwo Uniwersytetu Łódzkiego, 2026-06-10)In this paper, by special upsets on equality algebras, we construct a topology on bounded equality algebras and investigate some of their topological properties, such as Hausdorff, T0-space, T1-space and disconnected. In ... -
Matrix Semantics for Classical Logic: The Case of the Lattice O6
(Wydawnictwo Uniwersytetu Łódzkiego, 2026-06-10)It is well established that classical propositional logic is Boolean. However, this view has recently been challenged. In their paper Non-Orthomodular Models for Both Standard Quantum Logic and Standard Classical Logic: ... -
Modal Logic of Lattices
(Wydawnictwo Uniwersytetu Łódzkiego, 2026-06-10)We prove that the modal logic of lattices with the accessibility relation of being isomorphic to a sublattice is S4.2. The same is proven for modular and distributive lattices. -
Proof Translations between Label-free and Labeled Sequent Calculi in ISCI
(Wydawnictwo Uniwersytetu Łódzkiego, 2026-06-29)In this paper we consider the Intuitionistic Sentential Calculus with Identity (ISCI). We study two main families of sequent calculi. The first one, called G3ISCI, is based on a label-free multi-succedent sequent calculus ...