Bulletin of the Section of Logic 53/4 (2024)

Recent Submissions

  • \(\mathcal{L}\)−weakly 1−Absorbing Prime Ideals and Filters 

    Amare, Natnael Teshale (Wydawnictwo Uniwersytetu Łódzkiego, 2024-11-14)
    In this manuscript, we have presented the concept of \(\mathcal{L}\)-weakly 1-absorbing prime ideals and \(\mathcal{L}\)-weakly 1-absorbing prime filters within an ADL. Mainly, we illustrate the connections between ...

  • Some Additional Axioms for T-normal Logics. Defining K45, KB4, KD45 and S5 without Using Modal Rules 

    Pietruszczak, Andrzej (Wydawnictwo Uniwersytetu Łódzkiego, 2024-06-24)
    The paper studies extensions of t-normal logics S0.5o and S0.5 obtained by means of some axioms of normal logics. We will prove determination theorems for these extensions by appropriate Kripke-style models. It will allow ...

  • Hilbert Algebras with Hilbert-Galois Connections II 

    Celani, Sergio A.; Montagie, Daniela (Wydawnictwo Uniwersytetu Łódzkiego, 2024-12-09)
    Hilbert algebra with a Hilbert-Galois connection, or HilGC-algebra, is a triple \(\left(A,ƒ,g\right)\) where \(A\) is a Hilbert algebra, and \(f\) and \(g\) are unary maps on \(A\) such that \(f(a)\leq b\) iff \(a\leq ...

  • D-complete Single Axioms for the Equivalential Calculus with the rules D and R 

    Czakon, Marcin (Wydawnictwo Uniwersytetu Łódzkiego, 2024-11-05)
    Ulrich showed that most of the known axiomatisations of the classical equivalence calculus (EC) are D-incomplete, that is, they are not complete with the condensed detachment rule (D) as the primary rule of the proof ...

  • Open Filters and Congruence Relations on Self-Distributive Weak Heyting Algebras 

    Nourany, Mohsen; Ghorbani, Shokoofeh; Borumand Saeid, Arsham (Wydawnictwo Uniwersytetu Łódzkiego, 2024-06-21)
    In this paper, we study (open) filters and deductive systems of self-distributive weak Heyting algebras (SDWH-algebras) and obtain some results which determine the relationship between them. We show that the variety of ...

  • Exploring the Definition of Non-Monotonicity – Logical and Psychological Considerations 

    Łukowski, Piotr; Rudnicki, Konrad ORCID (Wydawnictwo Uniwersytetu Łódzkiego, 2024-10-08)
    When humans reason, they are able to revise their beliefs in light of new information and abandon obsolete conclusions. Logicians argued, that in some cases, such reasonings appear to be non-monotonic. Thus, many different, ...