Now showing items 1-20 of 67

    • On Injective MV-Modules 

      Borzooei, Rajabali A.; Goraghani, S. Saidi (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      In this paper, by considering the notion of MV-module, which is the structure that naturally correspond to lu-modules over lu-rings, we study injective MV-modules and we investigate some conditions for constructing injective ...
    • Rule-Generation Theorem and its Applications 

      Indrzejczak, Andrzej (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 Ontology-Like Theories 

      Łyczak, Marcin; Pietruszczak, Andrzej (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      We formulate a certain subtheory of Ishimoto’s [1] quantifier-free 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 

      Kawano, Tomoaki (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      Orthologic (OL) is non-classical 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 post-style proof of completeness theorem for symmetric relatedness Logic S 

      Klonowski, Mateusz (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 point-free topology 

      Gruszczyński, Rafał; Pietruszczak, Andrzej (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      This is a spin-off paper to [3, 4] in which we carried out an extensive analysis of Andrzej Grzegorczyk’s point-free topology from [5]. In [1] Loredana Biacino and Giangiacomo Gerla presented an axiomatization which was ...
    • B-almost distributive fuzzy lattice 

      Assaye, Berhanu; Alemneh, Mihret; Tefera, Gerima (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      The paper introduces the concept of B-Almost distributive fuzzy lattice (BADFL) in terms of its principal ideal fuzzy lattice. Necessary and sufficient conditions for an ADFL to become a B-ADFL are investigated. We also ...
    • On interpolation in next (kb.alt(2)) 

      Kostrzycka, Zofia (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 

      Manzano, María; Moreno, Manuel Crescencio (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 ...
    • Pseudo-BCH Semilattices 

      Walendziak, Andrzej (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      In this paper we study pseudo-BCH algebras which are semilattices or lattices with respect to the natural relations ≤; we call them pseudo-BCH join-semilattices, pseudo-BCH meet-semilattices and pseudo-BCH lattices, ...
    • Grzegorczyk Algebras Revisited 

      Stronkowski, Michał M. (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 

      Badia, Guillermo (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      We characterize the non-trivial 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 

      Figallo, Aldo V.; Oliva, Nora; Ziliani, Alicia (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      Modal pseudocomplemented De Morgan algebras (or mpM-algebras) 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: Pseudo-Referential Matrix System Semantics 

      Voutsadakis, George (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 π-institutions. More precisely, the ...
    • Algebraic Characterization of the Local Craig Interpolation Property 

      Gyenis, Zalán (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 

      Grygiel, Joanna (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      We present the history of the conference Applications of Algebra in Logic and Computer Science, whose twenty-third edition will be held in March, 2019. At the end we outline some plans for the future.
    • PC-lattices: A Class of Bounded BCK-algebras 

      Shoar, Sadegh Khosravi; Borzooei, Rajab Ali; Moradian, R.; Radfar, Atefe (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      In this paper, we define the notion of PC-lattice, as a generalization of finite positive implicative BCK-algebras with condition (S) and bounded commutative BCK-algebras. We investiate some results for Pc-lattices being ...
    • A Useful Four-Valued Extension of the Temporal Logic KtT4 

      Degauquier, Vincent (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 ...
    • Int-Soft Ideals of Pseudo MV-Algebras 

      Jun, Young Bae; Song, Seok-Zun; Bordbar, Hashem (Wydawnictwo Uniwersytetu Łódzkiego, 2018)
      The notion of (implicative) int-soft ideal in a pseudo MV-algebra is introduced, and related properties are investigated. Conditions for a soft set to be an int-soft ideal are provided. Characterizations of (implicative) ...
    • An Inferentially Many-Valued Two-Dimensional Notion of Entailment 

      Blasio, Carolina; Marcos, João; Wansing, Heinrich (Wydawnictwo Uniwersytetu Łódzkiego, 2017)
      Starting from the notions of q-entailment and p-entailment, a two-dimensional notion of entailment is developed with respect to certain generalized q-matrices referred to as B-matrices. After showing that every purely ...