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.
Za publikację w czasopiśmie Bulletin of the Section of Logic MNiSW przyznaje 20 pkt.  wykaz czasopism naukowych MNiSW z dnia 23 grudnia 2015 r.  część C
Wydawca: Wydawnictwo Uniwersytetu Łódzkiego
ISSN 01380680 (print)
ISSN 2449836X (online)
www: Bulletin of the Section of Logic
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Functional Completeness in CPL via Correspondence Analysis
(Wydawnictwo Uniwersytetu Łódzkiego, 2019)Kooi and Tamminga's correspondence analysis is a technique for designing proof systems, mostly, natural deduction and sequent systems. In this paper it is used to generate sequent calculi with invertible rules, whose only ... 
Erratum to: Congruences and Ideals in a Distributive Lattice with Respect to a Derivation
(Wydawnictwo Uniwersytetu Łódzkiego, 2019)The present note is an Erratum for the two theorems of the paper "Congruences and ideals in a distributive lattice with respect to a derivation" by M. Sambasiva Rao. 
Two Infinite Sequences of PreMaximal Extensions of the Relevant Logic E
(Wydawnictwo Uniwersytetu Łódzkiego, 2019)The only maximal extension of the logic of relevant entailment E is the classical logic CL. A logic L ⊆ [E,CL] called premaximal if and only if L is a coatom in the interval [E,CL]. We present two denumerable infinite ... 
A Modified Subformula Property for the Modal Logic S4.2
(Wydawnictwo Uniwersytetu Łódzkiego, 2019)The modal logic S4.2 is S4 with the additional axiom ◊□A ⊃ □◊A. In this article, the sequent calculus GS4.2 for this logic is presented, and by imposing an appropriate restriction on the application of the cutrule, it is ... 
Positive Implicative Soju Ideals in BCKAlgebras
(Wydawnictwo Uniwersytetu Łódzkiego, 2019)The notion of positive implicative soju ideal in BCKalgebra is introduced, and several properties are investigated. Relations between soju ideal and positive implicative soju ideal are considered, and characterizations ... 
Full Cut Elimination and Interpolation for Intuitionistic Logic with Existence Predicate
(Wydawnictwo Uniwersytetu Łódzkiego, 2019)In previous work by Baaz and Iemhoff, a Gentzen calculus for intuitionistic logic with existence predicate is presented that satisfies partial cut elimination and Craig's interpolation property; it is also conjectured that ... 
SemiHeyting Algebras and Identities of Associative Type
(Wydawnictwo Uniwersytetu Łódzkiego, 2019)An algebra A = ⟨A, ∨, ∧, →, 0, 1⟩ is a semiHeyting algebra if ⟨A, ∨, ∧, 0, 1⟩ is a bounded lattice, and it satisfies the identities: x ∧ (x → y) ≈ x ∧ y, x ∧ (y → z) ≈ x ∧ [(x ∧ y) → (x ∧ z)], and x → x ≈ 1. 𝒮ℋ denotes ... 
The Method of Socratic Proofs Meets Correspondence Analysis
(Wydawnictwo Uniwersytetu Łódzkiego, 2019)The goal of this paper is to propose correspondence analysis as a technique for generating the socalled erotetic (i.e. pertaining to the logic of questions) calculi which constitute the method of Socratic proofs by Andrzej ... 
A Binary Quantifier for Definite Descriptions in Intuitionist Negative Free Logic: Natural Deduction and Normalisation
(Wydawnictwo Uniwersytetu Łódzkiego, 2019)This paper presents a way of formalising definite descriptions with a binary quantifier ℩, where ℩x[F, G] is read as `The F is G'. Introduction and elimination rules for ℩ in a system of intuitionist negative free logic ... 
On Injective MVModules
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)In this paper, by considering the notion of MVmodule, which is the structure that naturally correspond to lumodules over lurings, we study injective MVmodules and we investigate some conditions for constructing injective ... 
RuleGeneration Theorem and its Applications
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)In several applications of sequent calculi going beyond pure logic, an introduction of suitably defined rules seems to be more profitable than addition of extra axiomatic sequents. A program of formalization of mathematical ... 
On the Definability of Leśniewski’s Copula ‘is’ in Some OntologyLike Theories
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)We formulate a certain subtheory of Ishimoto’s [1] quantifierfree fragment of Leśniewski’s ontology, and show that Ishimoto’s theory can be reconstructed in it. Using an epimorphism theorem we prove that our theory is ... 
Labeled Sequent Calculus for Orthologic
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)Orthologic (OL) is nonclassical logic and has been studied as a part of quantumlogic. OL is based on an ortholattice and is also called minimal quantum logic.Sequent calculus is used as a tool for proof in logic and has ... 
A poststyle proof of completeness theorem for symmetric relatedness Logic S
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)One of the logic defined by Richard Epstein in a context of an analysis of subject matter relationship is Symmetric Relatedness Logic S. In the monograph [2] we can find some open problems concerning relatedness logic, a ... 
A comparison of two systems of pointfree topology
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)This is a spinoff paper to [3, 4] in which we carried out an extensive analysis of Andrzej Grzegorczyk’s pointfree topology from [5]. In [1] Loredana Biacino and Giangiacomo Gerla presented an axiomatization which was ... 
Balmost distributive fuzzy lattice
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)The paper introduces the concept of BAlmost distributive fuzzy lattice (BADFL) in terms of its principal ideal fuzzy lattice. Necessary and sufficient conditions for an ADFL to become a BADFL are investigated. We also ... 
On interpolation in next (kb.alt(2))
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)We prove that there is infinitely many tabular modal logics extending KB.Alt(2) which have interpolation. 
Identity, equality, nameability and completeness. Part II
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)This article is a continuation of our promenade along the winding roads of identity, equality, nameability and completeness. We continue looking for a place where all these concepts converge. We assume that identity is a ... 
PseudoBCH Semilattices
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)In this paper we study pseudoBCH algebras which are semilattices or lattices with respect to the natural relations ≤; we call them pseudoBCH joinsemilattices, pseudoBCH meetsemilattices and pseudoBCH lattices, ... 
Grzegorczyk Algebras Revisited
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)We provide simple algebraic proofs of two important facts, due to Zakharyaschev and Esakia, about Grzegorczyk algebras.