The "Bulletin of the Section of Logic" (BSL) is a quarterly peer-reviewed journal published with the support of the Lodz University Press. The BSL was founded in 1972 by Ryszard Wójcicki, Head of the Section of Logic of the Polish Academy of Sciences, then based in Wrocław, as a newsletter-journal designed for the exchange of scientific results among members of the Section with their national and international partners and colleagues. The first editor-in-chief of the BSL was Jan Zygmunt, who supervised the editorial process of the first six issues of the journal. In 1973 the role was taken over by Marek Tokarz. From 1975 to 2018 the journal was managed and edited by Grzegorz Malinowski. In 1992 the Department of Logic at the University of Łódź took over the publication from the Polish Academy of Sciences changing its policy into regular peer-reviewed journal. The aim of the Bulletin is to act as a forum for the prompt wide dissemination of original, significant results in logic through rapid publication. The BSL welcomes especially contributions dealing directly with logical calculi, their methodology, application and algebraic interpretations.


Nazwa: Bulletin of the Section of Logic
ISSN: 0138-0680
e-ISSN: 2449-836X
Wydawca: Wydawnictwo Uniwersytetu Łódzkiego
Format: Open Access (licencja CC BY-NC-ND)
Ukazuje się od: 1972 r.

Strona internetowa czasopisma / Journal website

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  • From Translations to Non-Collapsing Logic Combinations 

    Rasga, João; Sernadas, Cristina (Wydawnictwo Uniwersytetu Łódzkiego, 2025-11-28)
    Prawitz suggested expanding a natural deduction system for intuitionistic logic to include rules for classical logic constructors, allowing both intuitionistic and classical elements to coexist without losing their inherent ...
  • On Generalization of Modular Lattices 

    Stocka, Agnieszka (Wydawnictwo Uniwersytetu Łódzkiego, 2025-11-28)
    We introduce the concepts of dually balanced lattices and \(M\)-lattices and provide some basic properties of these classes of lattices. Both classes can be viewed as generalizations of the well-known class of modular ...
  • Dialogical Ecumenism 

    Álvarez Lisboa, Miguel (Wydawnictwo Uniwersytetu Łódzkiego, 2025-11-28)
    Ecumenical logics are systems where two logics can coexist, sharing vocabulary and avoiding collapses between them. The literature has focused mainly on ecumenism between classical and intuitionistic logic, and several ...
  • On Involutive Weak Exchange Algebras 

    Walendziak, Andrzej (Wydawnictwo Uniwersytetu Łódzkiego, 2025-11-28)
    In this paper, involutive weak exchange algebras (for short, involutive WE algebras) are introduced and studied. Their properties and characterizations are investigated. Some important results and examples are given. In ...
  • Some Results Concerning Axioms for Equivalential Calculus 

    Czakon, Marcin (Wydawnictwo Uniwersytetu Łódzkiego, 2025-07-02)
    One of the most important questions in the area of the equivalential calculus (EC) currently is the issue of the single shortest axiom. We show some new a single organic and inorganic axioms for EC which are either D-complete ...
  • Continua of Logics Related to Intuitionistic and Minimal Logics 

    Ichikura, Kaito (Wydawnictwo Uniwersytetu Łódzkiego, 2025-07-07)
    We analyze the relationship between logics around intuitionistic logic and minimal logic. We characterize the intersection of minimal logic and co-minimal logic introduced by Vakarelov, and reformulate logics given in the ...
  • Unified Sequent Calculi and Natural Deduction Systems for Until-free Linear-time Temporal Logics 

    Kamide, Norihiro; Negri, Sara (Wydawnictwo Uniwersytetu Łódzkiego, 2025-11-27)
    A unified Gentzen-style proof-theoretic framework for until-free propositional linear-time temporal logic and its intuitionistic variant is introduced. The framework unifies Gentzen-style single-succedent sequent calculi ...
  • Cut-elimination and Normalization Theorems for Connexive Logics over Wansing’s C 

    Kamide, Norihiro (Wydawnictwo Uniwersytetu Łódzkiego, 2025-07-02)
    Gentzen-style sequent calculi and Gentzen-style natural deduction systems are introduced for a family (C-family) of connexive logics over Wansing’s basic constructive connexive logic C. The C-family is derived from C by ...
  • Semantic Incompleteness of Liberman et al. (2020)’s Hilbert-style Systems for Term-modal Logics with Equality and Non-rigid Terms 

    Sawasaki, Takahiro (Wydawnictwo Uniwersytetu Łódzkiego, 2025-09-18)
    In this paper, we prove the semantic incompleteness of some expansions of the Hilbert-style system for the minimal normal term-modal logic with equality and non-rigid terms that were proposed in Liberman et al. (2020) ...
  • Preface: Non-Classical Logics. Theory and Applications (Part I) 

    Zawidzki, Michał (Wydawnictwo Uniwersytetu Łódzkiego, 2025-06-30)
  • Comparing Sense and Denotation in Bilateralist Proof Systems for Proofs and Refutations 

    Ayhan, Sara (Wydawnictwo Uniwersytetu Łódzkiego, 2025-05-30)
    In this paper a framework to distinguish in a Fregean manner between sense and denotation of \(\lambda\)-term-annotated derivations will be applied to a bilateralist sequent calculus displaying two derivability relations, ...
  • Internal and External Calculi: Ordering the Jungle without Being Lost in Translations 

    Lyon, Tim S.; Ciabattoni, Agata; Galmiche, Didier; Girlando, Marianna; Larchey-Wendling, Dominique; Méry, Daniel; Olivetti, Nicola; Ramanayake, Revantha (Wydawnictwo Uniwersytetu Łódzkiego, 2025-06-06)
    This paper gives a broad account of the various sequent-based proof formalisms in the proof-theoretic literature. We consider formalisms for various modal and tense logics, intuitionistic logic, conditional logics, and ...
  • Supposition: No Problem for Bilateralism 

    Simonelli, Ryan (Wydawnictwo Uniwersytetu Łódzkiego, 2025-01-08)
    In a recent paper, Nils Kürbis argues that bilateral natural deduction systems in which assertions and denials figure as hypothetical assumptions are unintelligible. In this paper, I respond to this claim on two counts. ...
  • \(\mathcal{L}\)−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, ...
  • About Logically Probable Sentences 

    Olszewski, Adam (Wydawnictwo Uniwersytetu Łódzkiego, 2024-04-23)
    The starting point of this paper is the empirically determined ability to reason in natural language by employing probable sentences. A sentence is understood to be logically probable if its schema, expressed as a formula ...

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