Bulletin of the Section of Logic 55/2 (2026)
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TABLE OF CONTENTS
1. A Study of a Special Semi Maximal Filters in BL−algebrasMotahareh Atabaki, Mahta Bedrood, Fereshteh Forouzesh
2. Topology on Equality Algebras
Mona Aaly Kologani, Sogol Niazian, Rajab Ali Borzooe
3. Revisiting the Adequacy Theorem for Fragments of Łukasiewicz Logic
Miguel Pérez-Gaspar, Juan Manuel Ramírez-Contreras, Juan Sebastián Slagter
4. Matrix Semantics for Classical Logic: The Case of the Lattice O6
Ela Drozdowska
5. Modal Logic of Lattices
Maciej A. Hałapacz
6. Proof Translations between Label-free and Labeled Sequent Calculi in ISCI
Didier Galmiche, Brandon Hornbeck, Daniel Méry
Najnowsze pozycje
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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 ... -
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 ... -
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. ...