Bulletin of the Section of Logic: Recent submissions
Now showing items 120 of 67

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. 
Variable Sharing in Substructural Logics: an Algebraic Characterization
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)We characterize the nontrivial substructural logics having the variable sharing property as well as its strong version. To this end, we find the algebraic counterparts over varieties of these logical properties. 
Free Modal Pseudocomplemented De Morgan Algebras
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)Modal pseudocomplemented De Morgan algebras (or mpMalgebras) were investigated in A. V. Figallo, N. Oliva, A. Ziliani, Modal pseudocomplemented De Morgan algebras, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica ... 
Categorical Abstract Algebraic Logic: PseudoReferential Matrix System Semantics
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)This work adapts techniques and results first developed by Malinowski and by Marek in the context of referential semantics of sentential logics to the context of logics formalized as πinstitutions. More precisely, the ... 
Algebraic Characterization of the Local Craig Interpolation Property
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)The sole purpose of this paper is to give an algebraic characterization, in terms of a superamalgamation property, of a local version of Craig interpolation theorem that has been introduced and studied in earlier papers. ... 
Applications of Algebra in Logic and Computer Science – the Past and the Future
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)We present the history of the conference Applications of Algebra in Logic and Computer Science, whose twentythird edition will be held in March, 2019. At the end we outline some plans for the future. 
PClattices: A Class of Bounded BCKalgebras
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)In this paper, we define the notion of PClattice, as a generalization of finite positive implicative BCKalgebras with condition (S) and bounded commutative BCKalgebras. We investiate some results for Pclattices being ... 
A Useful FourValued Extension of the Temporal Logic KtT4
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)The temporal logic KtT4 is the modal logic obtained from the minimal temporal logic Kt by requiring the accessibility relation to be reflexive (which corresponds to the axiom T) and transitive (which corresponds to the ... 
IntSoft Ideals of Pseudo MVAlgebras
(Wydawnictwo Uniwersytetu Łódzkiego, 2018)The notion of (implicative) intsoft ideal in a pseudo MValgebra is introduced, and related properties are investigated. Conditions for a soft set to be an intsoft ideal are provided. Characterizations of (implicative) ... 
An Inferentially ManyValued TwoDimensional Notion of Entailment
(Wydawnictwo Uniwersytetu Łódzkiego, 2017)Starting from the notions of qentailment and pentailment, a twodimensional notion of entailment is developed with respect to certain generalized qmatrices referred to as Bmatrices. After showing that every purely ...