The Bulletin of the Section of Logic (BSL) is a quarterly peer-reviewed journal published with support of the University of Lodz. Its aim is to act as a forum for timely wide dissemination of novel, significant results in logic through rapid publication of papers not exceding 18 pages. The BSL invites especially the contributions dealing directly with logical calculi, their methodology, application and algebraic interpretations.

Papers may be submitted to the Editor-in-Chief or to any of the Collecting Editors.

BRIEF HISTORY In 1972: Ryszard Wójcicki, Head of the Section of Logic of the Polish Academy of Sciences, at that time based in Wrocław, launches the newsletter-journal designed for the exchange of scientific results among members of the Section with their national and international partners and cooperators. Jan Zygmunt was the editor of the first six issues of the journal. 1975: Grzegorz Malinowski takes on the responsibility of the Managing Editor. 1992: The Department of Logic of Łódź University, takes over publication from the Polish Academy of Sciences and changes its publication policy into a regular peer-reviewed journal. Grzegorz Malinowski becomes Editor-in-Chief. 2012: To continue Polish logical tradition the Editors decided retain the name of the journal unchanged.

Punktacja MNiSW: 20 pkt. (2019)
Punktacja MNiSW: 20 pkt. (2021)
Dyscyplina wg MNiSW: filozofia; informatyka techniczna i telekomunikacja; matematyka

Wydawca: Wydawnictwo Uniwersytetu Łódzkiego
ISSN 0138-0680 (print)
ISSN 2449-836X (online)
www: Bulletin of the Section of Logic

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  • What Is the Sense in Logic and Philosophy of Language 

    Wybraniec-Skardowska, Urszula (Wydawnictwo Uniwersytetu Łódzkiego, 2020-06-30)
    In the paper, various notions of the logical semiotic sense of linguistic expressions – namely, syntactic and semantic, intensional and extensional – are considered and formalised on the basis of a formal-logical conception ...
  • Compounding Objects 

    Šikić, Zvonimir (Wydawnictwo Uniwersytetu Łódzkiego, 2020-06-30)
    We prove a characterization theorem for filters, proper filters and ultrafilters which is a kind of converse of Łoś's theorem. It is more natural than the usual intuition of these terms as large sets of coordinates, which ...
  • Cantor on Infinitesimals. Historical and Modern Perspective 

    Błaszczyk, Piotr; Fila, Marlena (Wydawnictwo Uniwersytetu Łódzkiego, 2020-06-30)
    In his 1887's Mitteilungen zur Lehre von Transfiniten, Cantor seeks to prove inconsistency of infinitesimals. We provide a detailed analysis of his argument from both historical and mathematical perspective. We show that ...
  • Computer-supported Analysis of Positive Properties, Ultrafilters and Modal Collapse in Variants of Gödel's Ontological Argument 

    Benzmüller, Christoph; Fuenmayor, David (Wydawnictwo Uniwersytetu Łódzkiego, 2020-06-30)
    Three variants of Kurt Gödel's ontological argument, proposed by Dana Scott, C. Anthony Anderson and Melvin Fitting, are encoded and rigorously assessed on the computer. In contrast to Scott's version of Gödel's argument ...
  • Completeness, Categoricity and Imaginary Numbers: The Debate on Husserl 

    Aranda, Víctor (Wydawnictwo Uniwersytetu Łódzkiego, 2020-06-30)
    Husserl's two notions of "definiteness" enabled him to clarify the problem of imaginary numbers. The exact meaning of these notions is a topic of much controversy. A "definite" axiom system has been interpreted as a ...
  • Formal Methods and Science in Philosophy: Introduction to the Special Issue 

    Blackburn, Patrick; Kovač, Srećko; Świętorzecka, Kordula (Wydawnictwo Uniwersytetu Łódzkiego, 2020-06-30)
    Introduction to the Special Issue.
  • Four-valued expansions of Dunn-Belnap's logic (I): Basic characterizations 

    Pynko, Alexej P. (Wydawnictwo Uniwersytetu Łódzkiego, 2020-12-30)
    Basic results of the paper are that any four-valued expansion L4 of Dunn-Belnap's logic DB4 is de_ned by a unique (up to isomorphism) conjunctive matrix ℳ4 with exactly two distinguished values over an expansion 4 of a De ...
  • Length Neutrosophic Subalgebras of BCK=BCI-Algebras 

    Jun, Young Bae; Khan, Madad; Smarandache, Florentin; Song, Seok-Zun (Wydawnictwo Uniwersytetu Łódzkiego, 2020-12-30)
    Given i, j, k ∈ {1,2,3,4}, the notion of (i, j, k)-length neutrosophic subalgebras in BCK=BCI-algebras is introduced, and their properties are investigated. Characterizations of length neutrosophic subalgebras are discussed ...
  • Empirical Negation, Co-Negation and the Contraposition Rule II: Proof-Theoretical Investigations 

    Niki, Satoru (Wydawnictwo Uniwersytetu Łódzkiego, 2020-12-30)
    We continue the investigation of the first paper where we studied logics with various negations including empirical negation and co-negation. We established how such logics can be treated uniformly with R. Sylvan's CCω as ...
  • From Intuitionism to Brouwer's Modal Logic 

    Kostrzycka, Zofia (Wydawnictwo Uniwersytetu Łódzkiego, 2020-12-30)
    We try to translate the intuitionistic propositional logic INT into Brouwer's modal logic KTB. Our translation is motivated by intuitions behind Brouwer's axiom p →☐◊p The main idea is to interpret intuitionistic implication ...
  • The Phenomenology of Second-Level Inference: Perfumes in The Deductive Garden 

    Makinson, David (Wydawnictwo Uniwersytetu Łódzkiego, 2020-12-30)
    We comment on certain features that second-level inference rules commonly used in mathematical proof sometimes have, sometimes lack: suppositions, indirectness, goal-simplification, goal-preservation and premise-preservation. ...
  • Equality Logic 

    Ghorbani, Shokoofeh (Wydawnictwo Uniwersytetu Łódzkiego, 2020-11-04)
    In this paper, we introduce and study a corresponding logic to equality-algebras and obtain some basic properties of this logic. We prove the soundness and completeness of this logic based on equality-algebras and local ...
  • Module Structure on Effect Algebras 

    Saidi Goraghani, Simin; Borzooei, Rajab Ali (Wydawnictwo Uniwersytetu Łódzkiego, 2020-11-04)
    In this paper, by considering the notions of effect algebra and product effect algebra, we define the concept of effect module. Then we investigate some properties of effect modules, and we present some examples on them. ...
  • New Modification of the Subformula Property for a Modal Logic 

    Takano, Mitio (Wydawnictwo Uniwersytetu Łódzkiego, 2020-11-04)
    A modified subformula property for the modal logic KD with the additionalaxiom □ ◊(A ∨ B) ⊃ □ ◊ A ∨ □ ◊B is shown. A new modification of the notion of subformula is proposed for this purpose. This modification forms a ...
  • Empirical Negation, Co-negation and Contraposition Rule I: Semantical Investigations 

    Niki, Satoru (Wydawnictwo Uniwersytetu Łódzkiego, 2020-11-04)
    We investigate the relationship between M. De's empirical negation in Kripke and Beth Semantics. It turns out empirical negation, as well as co-negation, corresponds to different logics under different semantics. We then ...
  • Proof Compression and NP Versus PSPACE II 

    Gordeev, Lew; Haeusler, Edward Hermann (Wydawnictwo Uniwersytetu Łódzkiego, 2020-11-04)
    We upgrade [3] to a complete proof of the conjecture NP = PSPACE that is known as one of the fundamental open problems in the mathematical theory of computational complexity; this proof is based on [2]. Since minimal ...
  • A Topological Approach to Tense LMn×m-Algebras 

    Figallo, Aldo V.; Pascual, Inés; Pelaitay, Gustavo (Wydawnictwo Uniwersytetu Łódzkiego, 2020-03-30)
    In 2015, tense n × m-valued Lukasiewicz–Moisil algebras (or tense LMn×m-algebras) were introduced by A. V. Figallo and G. Pelaitay as an generalization of tense n-valued Łukasiewicz–Moisil algebras. In this paper we continue ...
  • May the Sea-Battle Tommorow Not Happen? 

    Pięta, Bożena (Wydawnictwo Uniwersytetu Łódzkiego, 2020-03-30)
    This note provides a review of the book 'On the Sea-Battle Tomorrow That May Not Happen' by Tomasz Jarmużek.
  • The Dynamic Epistemic Logic for Actual Knowledge 

    Wójcik, Arkadiusz (Wydawnictwo Uniwersytetu Łódzkiego, 2020-03-30)
    The dynamic epistemic logic for actual knowledge models the phenomenon of actual knowledge change when new information is received. In contrast to the systems of dynamic epistemic logic which have been discussed in the ...
  • Inf-Hesitant Fuzzy Ideals in BCK/BCI-Algebras 

    Jun, Young Bae; Song, Seok-Zun (Wydawnictwo Uniwersytetu Łódzkiego, 2020-03-30)
    Based on the hesitant fuzzy set theory which is introduced by Torra in the paper [12], the notions of Inf-hesitant fuzzy subalgebras, Inf-hesitant fuzzy ideals and Inf-hesitant fuzzy p-ideals in BCK/BCI-algebras are ...

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