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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
Lista MEiN: 70 punktów (2021)
Wydawca: Wydawnictwo Uniwersytetu Łódzkiego
Format: Open Access (licencja CC BY-NC-ND)
Ukazuje się od: 1972 r.

Strona internetowa czasopisma / Journal website

### Recent Submissions

• #### Complete Representations and Neat Embeddings ﻿

(Wydawnictwo Uniwersytetu Łódzkiego, 2022-09-09)
Let $$2<n<\omega$$. Then $${\sf CA}_n$$ denotes the class of cylindric algebras of dimension $$n$$, $${\sf RCA}_n$$ denotes the class of representable $$\sf CA_n$$s, $${\sf CRCA}_n$$ denotes the class of completely ...
• #### An (α,β)-Hesitant Fuzzy Set Approach to Ideal Theory in Semigroups ﻿

(Wydawnictwo Uniwersytetu Łódzkiego, 2022-09-14)
The aim of this manuscript is to introduce the $$(\alpha,\beta)$$-hesitant fuzzy set and apply it to semigroups. In this paper, as a generalization of the concept of hesitant fuzzy sets to semigroup theory, the concept of ...
• #### Constructing a Hoop Using Rough Filters ﻿

(Wydawnictwo Uniwersytetu Łódzkiego, 2022-09-09)
When it comes to making decisions in vague problems, rough is one of the best tools to help analyzers. So based on rough and hoop concepts, two kinds of approximations (Lower and Upper) for filters in hoops are defined, ...
• #### Unification and Finite Model Property for Linear Step-Like Temporal Multi-Agent Logic with the Universal Modality ﻿

(Wydawnictwo Uniwersytetu Łódzkiego, 2022-09-09)
This paper proposes a semantic description of the linear step-like temporal multi-agent logic with the universal modality $$\mathcal{LTK}.sl_U$$ based on the idea of non-reflexive non-transitive nature of time. We proved ...
• #### Categorical Dualities for Some Two Categories of Lattices: An Extended Abstract ﻿

(Wydawnictwo Uniwersytetu Łódzkiego, 2022-08-02)
The categorical dualities presented are: (first) for the category of bi-algebraic lattices that belong to the variety generated by the smallest non-modular lattice with complete (0,1)-lattice homomorphisms as morphisms, ...
• #### First-Order Modal Semantics and Existence Predicate ﻿

(Wydawnictwo Uniwersytetu Łódzkiego, 2022-07-11)
In the article we study the existence predicate $$\varepsilon$$ in the context of semantics for first-order modal logic. For a formula $$\varphi$$ we define $$\varphi^{\varepsilon}$$ - the so called existence relativization. ...
• #### Interpolation Property on Visser's Formal Propositional Logic ﻿

(Wydawnictwo Uniwersytetu Łódzkiego, 2022-09-20)
In this paper by using a model-theoretic approach, we prove Craig interpolation property for Formal Propositional Logic, FPL, Basic propositional logic, BPL and the uniform left-interpolation property for FPL. We also ...
• #### Tableaux for some deontic logics with the explicit permission operator ﻿

(Wydawnictwo Uniwersytetu Łódzkiego, 2022-06-23)
In this paper we present a tableau system for deontic logics with the operator of explicit permission. By means of this system the decidability of the considered logics can be proved. We will sketch how these logics are ...
• #### A Paradox for the Existence Predicate ﻿

(Wydawnictwo Uniwersytetu Łódzkiego, 2022-06-10)
In this paper, a paradox is shown to arise in the context of classical logic from prima facie highly plausible assumptions for the existence predicate as applied to definite descriptions. There are several possibilities ...
• #### A Classification of Improper Inference Rules ﻿

(Wydawnictwo Uniwersytetu Łódzkiego, 2022-06-23)
In the natural deduction system for classical propositional logic given by G. Gentzen, there are some inference rules with assumptions discharged by the rule. D. Prawitz calls such inference rules improper as opposed to ...
• #### A Benchmark Similarity Measures for Fermatean Fuzzy Sets ﻿

(Wydawnictwo Uniwersytetu Łódzkiego, 2022-06-08)
In this paper, we utilized triangular conorms (S-norm). The essence of using S-norm is that the similarity order does not change using different norms. In fact, we are investigating for a new conception for calculating the ...
• #### A Variant of Material Connexive Logic ﻿

(Wydawnictwo Uniwersytetu Łódzkiego, 2021-11-09)
The relationship between formal (standard) logic and informal (common-sense, everyday) reasoning has always been a hot topic. In this paper, we propose another possible way to bring it up inspired by connexive logic. Our ...
• #### Tolerating Inconsistencies: A Study of Logic of Moral Conflicts ﻿

(Wydawnictwo Uniwersytetu Łódzkiego, 2022-06-07)
Moral conflicts are the situations which emerge as a response to deal with conflicting obligations or duties. An interesting case arises when an agent thinks that two obligations A and B are equally important, but yet fails ...
• #### Proof Compression and NP Versus PSPACE II: Addendum ﻿

(Wydawnictwo Uniwersytetu Łódzkiego, 2022-01-07)
In our previous work we proved the conjecture NP = PSPACE by advanced proof theoretic methods that combined Hudelmaier’s cut-free sequent calculus for minimal logic (HSC) with the horizontal compressing in the corresponding ...
• #### Models of Bounded Arithmetic Theories and Some Related Complexity Questions ﻿

(Wydawnictwo Uniwersytetu Łódzkiego, 2022-06-07)
In this paper, we study bounded versions of some model-theoretic notions and results. We apply these results to the context of models of bounded arithmetic theories as well as some related complexity questions. As an ...
• #### Analytic Non-Labelled Proof-Systems for Hybrid Logic: Overview and a couple of striking facts ﻿

(Wydawnictwo Uniwersytetu Łódzkiego, 2022-01-07)
This paper is about non-labelled proof-systems for hybrid logic, that is, proofsystems where arbitrary formulas can occur, not just satisfaction statements. We give an overview of such proof-systems, focusing on analytic ...
• #### Weakly Free Multialgebras ﻿

(Wydawnictwo Uniwersytetu Łódzkiego, 2021-08-23)
In abstract algebraic logic, many systems, such as those paraconsistent logics taking inspiration from da Costa's hierarchy, are not algebraizable by even the broadest standard methodologies, as that of Blok and Pigozzi. ...
• #### A Sequent Systems without Improper Derivations ﻿

(Wydawnictwo Uniwersytetu Łódzkiego, 2021-10-14)
In the natural deduction system for classical propositional logic given by G. Gentzen, there are some inference rules with assumptions discharged by the rule. D. Prawitz calls such inference rules improper, and others ...
• #### Sequent Calculi for Orthologic with Strict Implication ﻿

(Wydawnictwo Uniwersytetu Łódzkiego, 2021-11-09)
In this study, new sequent calculi for a minimal quantum logic ($$\bf MQL$$) are discussed that involve an implication. The sequent calculus $$\bf GO$$ for $$\bf MQL$$ was established by Nishimura, and it is complete with ...
• #### A Note on the Intuitionistic Logic of False Belief ﻿

(Wydawnictwo Uniwersytetu Łódzkiego, 2021-09-01)
In this paper we analyse logic of false belief in the intuitionistic setting. This logic, studied in its classical version by Steinsvold, Fan, Gilbert and Venturi, describes the following situation: a formula $\varphi$ is ...