Bulletin of the Section of Logic
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The Bulletin of the Section of Logic (BSL) is a quarterly peerreviewed 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 EditorinChief 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 newsletterjournal 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 peerreviewed journal. Grzegorz Malinowski becomes EditorinChief. 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 01380680 (print)
ISSN 2449836X (online)
www: Bulletin of the Section of Logic
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Equality Logic
(Wydawnictwo Uniwersytetu Łódzkiego, 20201104)In this paper, we introduce and study a corresponding logic to equalityalgebras and obtain some basic properties of this logic. We prove the soundness and completeness of this logic based on equalityalgebras and local ... 
Empirical Negation, Conegation and Contraposition Rule I: Semantical Investigations
(Wydawnictwo Uniwersytetu Łódzkiego, 20201104)We investigate the relationship between M. De's empirical negation in Kripke and Beth Semantics. It turns out empirical negation, as well as conegation, corresponds to different logics under different semantics. We then ... 
Module Structure on Effect Algebras
(Wydawnictwo Uniwersytetu Łódzkiego, 20201104)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
(Wydawnictwo Uniwersytetu Łódzkiego, 20201104)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 ... 
Proof Compression and NP Versus PSPACE II
(Wydawnictwo Uniwersytetu Łódzkiego, 20201104)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×mAlgebras
(Wydawnictwo Uniwersytetu Łódzkiego, 20200330)In 2015, tense n × mvalued Lukasiewicz–Moisil algebras (or tense LMn×malgebras) were introduced by A. V. Figallo and G. Pelaitay as an generalization of tense nvalued Łukasiewicz–Moisil algebras. In this paper we continue ... 
InfHesitant Fuzzy Ideals in BCK/BCIAlgebras
(Wydawnictwo Uniwersytetu Łódzkiego, 20200330)Based on the hesitant fuzzy set theory which is introduced by Torra in the paper [12], the notions of Infhesitant fuzzy subalgebras, Infhesitant fuzzy ideals and Infhesitant fuzzy pideals in BCK/BCIalgebras are ... 
May the SeaBattle Tommorow Not Happen?
(Wydawnictwo Uniwersytetu Łódzkiego, 20200330)This note provides a review of the book 'On the SeaBattle Tomorrow That May Not Happen' by Tomasz Jarmużek. 
The Dynamic Epistemic Logic for Actual Knowledge
(Wydawnictwo Uniwersytetu Łódzkiego, 20200330)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 ... 
Nilpotent Minimum Logic NM and Pretabularity
(Wydawnictwo Uniwersytetu Łódzkiego, 20200330)This paper deals with pretabularity of fuzzy logics. For this, we first introduce two systems NMnfp and NM½, which are expansions of the fuzzy system NM (Nilpotent minimum logic), and examine the relationships between NMnfp ... 
Disjunctive MultipleConclusion Consequence Relations
(Wydawnictwo Uniwersytetu Łódzkiego, 20191231)The concept of multipleconclusion consequence relation from [8] and [7] is considered. The closure operation C assigning to any binary relation r (dened on the power set of a set of all formulas of a given language) the ... 
An Investigation into Intuitionistic Logic with Identity
(Wydawnictwo Uniwersytetu Łódzkiego, 20191231)We define Kripke semantics for propositional intuitionistic logic with Suszko’s identity (ISCI). We propose sequent calculus for ISCI along with cutelimination theorem. We sketch a constructive interpretation of Suszko’s ... 
Many Faces of Lattice Tolerances
(Wydawnictwo Uniwersytetu Łódzkiego, 20191231)Our aim is to overview and discuss some of the most popular approaches to the notion of a tolerance relation in algebraic structures with the special emphasis on lattices. 
Two Treatments of Definite Descriptions in Intuitionist Negative Free Logic
(Wydawnictwo Uniwersytetu Łódzkiego, 20191231)Sentences containing definite descriptions, expressions of the form `The F', can be formalised using a binary quantier that forms a formula out of two predicates, where ℩x[F;G] is read as `The F is G'. This is an innovation ... 
Semantical Proof of Subformula Property for the Modal Logics K4.3, KD4.3, and S4.3
(Wydawnictwo Uniwersytetu Łódzkiego, 20191231)The main purpose of this paper is to give alternative proofs of syntactical and semantical properties, i.e. the subformula property and the nite model property, of the sequent calculi for the modal logics K4.3, KD4.3, and ... 
Modal Boolean Connexive Logics: Semantics and Tableau Approach
(Wydawnictwo Uniwersytetu Łódzkiego, 20191030)In this paper we investigate Boolean connexive logics in a language with modal operators: □, ◊. In such logics, negation, conjunction, and disjunction behave in a classical, Boolean way. Only implication is nonclassical. ... 
A Note on Distributive Triples
(Wydawnictwo Uniwersytetu Łódzkiego, 20191030)Even if a lattice L is not distributive, it is still possible that for particular elements x, y, z ∈ L it holds (x∨y) ∧z = (x∧z) ∨ (y ∧z). If this is the case, we say that the triple (x, y, z) is distributive. In this note ... 
Complex Fuzzy Sets with Application in BCK/BCIAlgebras
(Wydawnictwo Uniwersytetu Łódzkiego, 20191030)As a generation of fuzzy set, the notion of complex fuzzy set which is an innovative concept is introduced by Ramot, Milo, Friedman and Kandel. The purpose of this article is to apply complex fuzzy set to BCK/BCIalgebras. ... 
Topological and MultiTopological Frames in the Context of Intuitionistic Modal Logic
(Wydawnictwo Uniwersytetu Łódzkiego, 20191030)We present three examples of topological semantics for intuitionistic modal logic with one modal operator □. We show that it is possible to treat neighborhood models, introduced earlier, as topological or multitopological. ... 
A Note on Ciuciura’s mbC1
(Wydawnictwo Uniwersytetu Łódzkiego, 20191030)This note offers a nondeterministic semantics for mbC1, introduced by Janusz Ciuciura, and establishes soundness and (strong) completeness results with respect to the Hilbertstyle proof system. Moreover, based on the new ...